Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. 
  • 26 and 91 
  • 510 and 92 
  • 336 and 54
Posted by: Created at: Last updated:
Class X Maths Class X Maths Real Numbers Class X

Answers 2

We are given that the army contingent has 616 members and the army band has 32 members. Both groups are to march in the same number of columns.

To find the maximum number of columns in which they can march, we need to find the greatest common divisor (GCD) of 616 and 32.

Using Euclid's Division Algorithm:
$616 = 19 \times 32 + 8$
$32 = 4 \times 8 + 0$

Hence, the GCD of 616 and 32 is 8.

Therefore, the maximum number of columns in which they can march is 8.
Posted by: Created at: Last updated:
Answer is $8$
Posted by: Created at: Last updated:

Similar Questions

1 Nidhi received simple interest off Rs. 1200 when invested Rs x at 6% p.a. and Rs y at 5% p.a. for 1 year. Had she invested Rs. x at 3% p.a. and Rs. y at 8% for that year, she would have received simple interest of Rs 1,260. Find the values Rs. x an y. 2 A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged . This increased the bill by 4 3 The letters A, B, C, D, E, F and G not necessarily in that order, stand for seven consecutive integers from 1 to 10, D is 3 less than A, B is the middle term. F is as much less than B as C is greater than D, G is greater than F. 4 Direction: Read the following information carefully and answer the questions that follow: P, V, X, A, D, I, K and U set out for trip for different number of days such as 2, 8, 11, 5, 6, 4, 7 and 3, they go to the trip in the same order but the order of n 5 A shopkeeper buys a blanket at a discount of 20% on the listed price from a wholesaler. The shopkeeper marks up the price by 15% on the listed price. A buyer pays Rs. 3795 to get it after paying sales tax rate of 10% on the price asked for. Find the profi