Question

there are 2 ropes each measure 496 and 624 respectively,the largest scale that should be used to measure both the ropes?​

Answer 1

The largest scale that should be used to measure both the ropes is 16

Solution:

Given that,

There are 2 ropes each measure 496 and 624 respectively

To find: the largest scale that should be used to measure both the ropes

Which means,

We have to find the greatest common factor of 496 and 624

Greatest common factor of 496 and 624

The factors of 496 are: 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The factors of 624 are: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Then the greatest common factor is 16

Thus, the largest scale that should be used to measure both the ropes is 16

Learn more about this topic

Three measuring rods are 45cm,50cm,75cm in length. Wht is least length of a rope tht can be measured by the full length of each of these three rods?

https://brainly.in/question/1202052

Think of two numbers whose greatest common factor is 12. If you divide the lesser of the two numbers by that greatest common factor, you get one sixteenth of the other numbers.what are the numbers?

https://brainly.in/question/3893910

Answer 2

Step-by-step explanation:

16 cm is the required solution