GCD of 974, 724, 721, 320 Calculator

Given Input numbers are 974, 724, 721, 320

In the factoring method, we have to find the divisors of all numbers

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (974, 724, 721, 320) = 1.

Given numbers are 974, 724, 721, 320

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 724 are 2 x 2 x 181

Prime factors of 721 are 7 x 103

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 974, 724, 721, 320

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(974, 724) = 352588

GCD(974, 724) = ( 974 x 724 ) / 352588

= 974 / 724

= 974

Step2:

LCM(2, 721) = 1442

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

= 2 / 721

= 2

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 974, 724, 721, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 810, 598, 705
• GCD of 959, 323, 534, 996
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• GCD of 677, 458, 214, 104
• GCD of 356, 717, 277, 755

Given numbers are 974, 724, 721, 320
The greatest common divisor of numbers 974, 724, 721, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 724, 721, 320 is 1.

1. What is the GCD of 974, 724, 721, 320?

GCD of given numbers 974, 724, 721, 320 is 1

2. How to calculate the greatest common divisor of 974, 724, 721, 320?

We can find the highest common divisor of 974, 724, 721, 320 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 974, 724, 721, 320 i.e 1.

3. How can I use the GCD of 974, 724, 721, 320Calculator?

Out the numbers 974, 724, 721, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.