GCD of 974, 790, 829, 672 Calculator

Given Input numbers are 974, 790, 829, 672

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 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (974, 790, 829, 672) = 1.

Given numbers are 974, 790, 829, 672

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 790 are 2 x 5 x 79

Prime factors of 829 are 829

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Given numbers are 974, 790, 829, 672

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

Apply this formula for all numbers.

Step1:

LCM(974, 790) = 384730

GCD(974, 790) = ( 974 x 790 ) / 384730

= 974 / 790

= 974

Step2:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

Step3:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1

So, Greatest Common Divisor of 974, 790, 829, 672 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 106, 274, 607
• GCD of 864, 269, 961, 212
• GCD of 360, 838, 485, 629
• GCD of 899, 914, 990, 197
• GCD of 284, 630, 398, 851

Given numbers are 974, 790, 829, 672
The greatest common divisor of numbers 974, 790, 829, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 790, 829, 672 is 1.

1. What is the GCD of 974, 790, 829, 672?

GCD of given numbers 974, 790, 829, 672 is 1

2. How to calculate the greatest common divisor of 974, 790, 829, 672?

We can find the highest common divisor of 974, 790, 829, 672 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, 790, 829, 672 i.e 1.

3. How can I use the GCD of 974, 790, 829, 672Calculator?

Out the numbers 974, 790, 829, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.