GCD of 872, 124, 112, 718 Calculator

Given Input numbers are 872, 124, 112, 718

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (872, 124, 112, 718) = 2.

Given numbers are 872, 124, 112, 718

The list of prime factors of all numbers are

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

Prime factors of 124 are 2 x 2 x 31

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 872, 124, 112, 718 is 2.

Given numbers are 872, 124, 112, 718

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

Apply this formula for all numbers.

Step1:

LCM(872, 124) = 27032

GCD(872, 124) = ( 872 x 124 ) / 27032

= 872 / 124

= 872

Step2:

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

= 4 / 112

= 4

Step3:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

So, Greatest Common Divisor of 872, 124, 112, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 566, 938, 899
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Given numbers are 872, 124, 112, 718
The greatest common divisor of numbers 872, 124, 112, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 124, 112, 718 is 2.

1. What is the GCD of 872, 124, 112, 718?

GCD of given numbers 872, 124, 112, 718 is 2

2. How to calculate the greatest common divisor of 872, 124, 112, 718?

We can find the highest common divisor of 872, 124, 112, 718 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, 124, 112, 718 i.e 2.

3. How can I use the GCD of 872, 124, 112, 718Calculator?

Out the numbers 872, 124, 112, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.