GCD of 750, 320, 724, 876 Calculator

Given Input numbers are 750, 320, 724, 876

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (750, 320, 724, 876) = 2.

Given numbers are 750, 320, 724, 876

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

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

Prime factors of 724 are 2 x 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 750, 320, 724, 876 is 2.

Given numbers are 750, 320, 724, 876

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

Apply this formula for all numbers.

Step1:

LCM(750, 320) = 24000

GCD(750, 320) = ( 750 x 320 ) / 24000

= 750 / 320

= 750

Step2:

LCM(10, 724) = 3620

GCD(10, 724) = ( 10 x 724 ) / 3620

= 10 / 724

= 10

Step3:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2

So, Greatest Common Divisor of 750, 320, 724, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 476, 361, 813
• GCD of 315, 813, 977, 180
• GCD of 602, 502, 180, 656
• GCD of 802, 855, 195, 592
• GCD of 450, 596, 823, 692

Given numbers are 750, 320, 724, 876
The greatest common divisor of numbers 750, 320, 724, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 320, 724, 876 is 2.

1. What is the GCD of 750, 320, 724, 876?

GCD of given numbers 750, 320, 724, 876 is 2

2. How to calculate the greatest common divisor of 750, 320, 724, 876?

We can find the highest common divisor of 750, 320, 724, 876 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 750, 320, 724, 876 i.e 2.

3. How can I use the GCD of 750, 320, 724, 876Calculator?

Out the numbers 750, 320, 724, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.