GCD of 472, 694, 872 Calculator

Given Input numbers are 472, 694, 872

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (472, 694, 872) = 2.

Given numbers are 472, 694, 872

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 694 are 2 x 347

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

The highest common occurrence is 2¹

Therefore, GCD of 472, 694, 872 is 2.

Given numbers are 472, 694, 872

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

Apply this formula for all numbers.

Step1:

LCM(472, 694) = 163784

GCD(472, 694) = ( 472 x 694 ) / 163784

= 472 / 694

= 472

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 472, 694, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 285, 142
• GCD of 579, 899, 998
• GCD of 364, 502, 334
• GCD of 106, 123, 470
• GCD of 601, 726, 115

Given numbers are 472, 694, 872
The greatest common divisor of numbers 472, 694, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 694, 872 is 2.

1. What is the GCD of 472, 694, 872?

GCD of given numbers 472, 694, 872 is 2

2. How to calculate the greatest common divisor of 472, 694, 872?

We can find the highest common divisor of 472, 694, 872 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 472, 694, 872 i.e 2.

3. How can I use the GCD of 472, 694, 872Calculator?

Out the numbers 472, 694, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.