GCD of 938, 972, 962, 721 Calculator

Given Input numbers are 938, 972, 962, 721

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 938, 972, 962, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 972, 962, 721 is 1.

Therefore, GCD of numbers 938, 972, 962, 721 is 1

Given Input Data is 938, 972, 962, 721

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 721 is 7 x 103

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(938, 972) = 455868

GCD(938, 972) = ( 938 x 972 ) / 455868

GCD(938, 972) = 911736 / 455868

GCD(938, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 721

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

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

GCD(2, 721) = 1442 / 1442

GCD(2, 721) = 1

GCD of 938, 972, 962, 721 is 1

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1. What is the GCD of 938, 972, 962, 721?

GCD of 938, 972, 962, 721 is 1

2. Where do I get the detailed procedure to find GCD of 938, 972, 962, 721?

You can find a detailed procedure to find GCD of 938, 972, 962, 721 on our page.

3. How to find GCD of 938, 972, 962, 721 on a calculator?

You can find the GCD of 938, 972, 962, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.