GCD of 472, 172, 692 Calculator

Given Input numbers are 472, 172, 692

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (472, 172, 692) = 4.

Given numbers are 472, 172, 692

The list of prime factors of all numbers are

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 472, 172, 692 is 4.

Given numbers are 472, 172, 692

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

Apply this formula for all numbers.

Step1:

LCM(472, 172) = 20296

GCD(472, 172) = ( 472 x 172 ) / 20296

= 472 / 172

= 472

Step2:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 472, 172, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 519, 105
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• GCD of 980, 666, 646
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Given numbers are 472, 172, 692
The greatest common divisor of numbers 472, 172, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 172, 692 is 4.

1. What is the GCD of 472, 172, 692?

GCD of given numbers 472, 172, 692 is 4

2. How to calculate the greatest common divisor of 472, 172, 692?

We can find the highest common divisor of 472, 172, 692 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, 172, 692 i.e 4.

3. How can I use the GCD of 472, 172, 692Calculator?

Out the numbers 472, 172, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.