GCD of 872, 616, 952, 520 Calculator

Given Input numbers are 872, 616, 952, 520

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (872, 616, 952, 520) = 8.

Given numbers are 872, 616, 952, 520

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 2³

Therefore, GCD of 872, 616, 952, 520 is 8.

Given numbers are 872, 616, 952, 520

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

Apply this formula for all numbers.

Step1:

LCM(872, 616) = 67144

GCD(872, 616) = ( 872 x 616 ) / 67144

= 872 / 616

= 872

Step2:

LCM(8, 952) = 952

GCD(8, 952) = ( 8 x 952 ) / 952

= 8 / 952

= 8

Step3:

LCM(8, 520) = 520

GCD(8, 520) = ( 8 x 520 ) / 520

= 8 / 520

= 8

So, Greatest Common Divisor of 872, 616, 952, 520 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 750, 833, 753
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Given numbers are 872, 616, 952, 520
The greatest common divisor of numbers 872, 616, 952, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 616, 952, 520 is 8.

1. What is the GCD of 872, 616, 952, 520?

GCD of given numbers 872, 616, 952, 520 is 8

2. How to calculate the greatest common divisor of 872, 616, 952, 520?

We can find the highest common divisor of 872, 616, 952, 520 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 872, 616, 952, 520 i.e 8.

3. How can I use the GCD of 872, 616, 952, 520Calculator?

Out the numbers 872, 616, 952, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.