GCD of 756, 598, 474, 676 Calculator

Given Input numbers are 756, 598, 474, 676

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (756, 598, 474, 676) = 2.

Given numbers are 756, 598, 474, 676

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 598 are 2 x 13 x 23

Prime factors of 474 are 2 x 3 x 79

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 756, 598, 474, 676 is 2.

Given numbers are 756, 598, 474, 676

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

Apply this formula for all numbers.

Step1:

LCM(756, 598) = 226044

GCD(756, 598) = ( 756 x 598 ) / 226044

= 756 / 598

= 756

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 756, 598, 474, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 737, 311, 675
• GCD of 748, 634, 386, 975
• GCD of 757, 921, 514, 465
• GCD of 236, 541, 300, 442
• GCD of 750, 555, 666, 620

Given numbers are 756, 598, 474, 676
The greatest common divisor of numbers 756, 598, 474, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 598, 474, 676 is 2.

1. What is the GCD of 756, 598, 474, 676?

GCD of given numbers 756, 598, 474, 676 is 2

2. How to calculate the greatest common divisor of 756, 598, 474, 676?

We can find the highest common divisor of 756, 598, 474, 676 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 756, 598, 474, 676 i.e 2.

3. How can I use the GCD of 756, 598, 474, 676Calculator?

Out the numbers 756, 598, 474, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.