GCD of 604, 752, 960, 974 Calculator

Given Input numbers are 604, 752, 960, 974

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

Divisors of 604 :

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

1, 2, 4, 151, 302, 604

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (604, 752, 960, 974) = 2.

Given numbers are 604, 752, 960, 974

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 604, 752, 960, 974 is 2.

Given numbers are 604, 752, 960, 974

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

Apply this formula for all numbers.

Step1:

LCM(604, 752) = 113552

GCD(604, 752) = ( 604 x 752 ) / 113552

= 604 / 752

= 604

Step2:

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

= 4 / 960

= 4

Step3:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4

So, Greatest Common Divisor of 604, 752, 960, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 933, 105, 981
• GCD of 244, 378, 718, 396
• GCD of 886, 565, 112, 688
• GCD of 816, 220, 885, 492
• GCD of 194, 705, 294, 483

Given numbers are 604, 752, 960, 974
The greatest common divisor of numbers 604, 752, 960, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 752, 960, 974 is 2.

1. What is the GCD of 604, 752, 960, 974?

GCD of given numbers 604, 752, 960, 974 is 2

2. How to calculate the greatest common divisor of 604, 752, 960, 974?

We can find the highest common divisor of 604, 752, 960, 974 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 604, 752, 960, 974 i.e 2.

3. How can I use the GCD of 604, 752, 960, 974Calculator?

Out the numbers 604, 752, 960, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.