GCD of 875, 490, 980, 708 Calculator

Given Input numbers are 875, 490, 980, 708

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 875, 490, 980, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 490, 980, 708 is 1.

Therefore, GCD of numbers 875, 490, 980, 708 is 1

Given Input Data is 875, 490, 980, 708

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(875, 490) = 12250

GCD(875, 490) = ( 875 x 490 ) / 12250

GCD(875, 490) = 428750 / 12250

GCD(875, 490) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 980

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(35, 980) = 980

GCD(35, 980) = ( 35 x 980 ) / 980

GCD(35, 980) = 34300 / 980

GCD(35, 980) = 35

Step3:

Here we consider the GCD from the above i.e. 35 as first number and the next as 708

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(35, 708) = 24780

GCD(35, 708) = ( 35 x 708 ) / 24780

GCD(35, 708) = 24780 / 24780

GCD(35, 708) = 1

GCD of 875, 490, 980, 708 is 1

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1. What is the GCD of 875, 490, 980, 708?

GCD of 875, 490, 980, 708 is 1

2. Where do I get the detailed procedure to find GCD of 875, 490, 980, 708?

You can find a detailed procedure to find GCD of 875, 490, 980, 708 on our page.

3. How to find GCD of 875, 490, 980, 708 on a calculator?

You can find the GCD of 875, 490, 980, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.