GCD of 784, 876, 972, 604 Calculator

Given Input numbers are 784, 876, 972, 604

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (784, 876, 972, 604) = 4.

Given numbers are 784, 876, 972, 604

The list of prime factors of all numbers are

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 604 are 2 x 2 x 151

The highest common occurrence is 2²

Therefore, GCD of 784, 876, 972, 604 is 4.

Given numbers are 784, 876, 972, 604

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

Apply this formula for all numbers.

Step1:

LCM(784, 876) = 171696

GCD(784, 876) = ( 784 x 876 ) / 171696

= 784 / 876

= 784

Step2:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

Step3:

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

= 4 / 604

= 4

So, Greatest Common Divisor of 784, 876, 972, 604 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 690, 605, 703
• GCD of 852, 442, 493, 549
• GCD of 436, 374, 671, 592
• GCD of 736, 880, 104, 112
• GCD of 645, 815, 937, 223

Given numbers are 784, 876, 972, 604
The greatest common divisor of numbers 784, 876, 972, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 876, 972, 604 is 4.

1. What is the GCD of 784, 876, 972, 604?

GCD of given numbers 784, 876, 972, 604 is 4

2. How to calculate the greatest common divisor of 784, 876, 972, 604?

We can find the highest common divisor of 784, 876, 972, 604 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 784, 876, 972, 604 i.e 4.

3. How can I use the GCD of 784, 876, 972, 604Calculator?

Out the numbers 784, 876, 972, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.