GCD of 856, 172, 476 Calculator

Given Input numbers are 856, 172, 476

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (856, 172, 476) = 4.

Given numbers are 856, 172, 476

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 172 are 2 x 2 x 43

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 2²

Therefore, GCD of 856, 172, 476 is 4.

Given numbers are 856, 172, 476

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

Apply this formula for all numbers.

Step1:

LCM(856, 172) = 36808

GCD(856, 172) = ( 856 x 172 ) / 36808

= 856 / 172

= 856

Step2:

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

= 4 / 476

= 4

So, Greatest Common Divisor of 856, 172, 476 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 346, 973
• GCD of 227, 747, 154
• GCD of 272, 356, 763
• GCD of 479, 762, 845
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Given numbers are 856, 172, 476
The greatest common divisor of numbers 856, 172, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 172, 476 is 4.

1. What is the GCD of 856, 172, 476?

GCD of given numbers 856, 172, 476 is 4

2. How to calculate the greatest common divisor of 856, 172, 476?

We can find the highest common divisor of 856, 172, 476 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 856, 172, 476 i.e 4.

3. How can I use the GCD of 856, 172, 476Calculator?

Out the numbers 856, 172, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.