GCD of 976, 726, 635, 686 Calculator

Given Input numbers are 976, 726, 635, 686

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 976, 726, 635, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 726, 635, 686 is 1.

Therefore, GCD of numbers 976, 726, 635, 686 is 1

Given Input Data is 976, 726, 635, 686

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 635 is 5 x 127

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(976, 726) = 354288

GCD(976, 726) = ( 976 x 726 ) / 354288

GCD(976, 726) = 708576 / 354288

GCD(976, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

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

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 976, 726, 635, 686 is 1

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1. What is the GCD of 976, 726, 635, 686?

GCD of 976, 726, 635, 686 is 1

2. Where do I get the detailed procedure to find GCD of 976, 726, 635, 686?

You can find a detailed procedure to find GCD of 976, 726, 635, 686 on our page.

3. How to find GCD of 976, 726, 635, 686 on a calculator?

You can find the GCD of 976, 726, 635, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.