GCD of 978, 476, 56 Calculator

Given Input numbers are 978, 476, 56

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 476, 56) = 2.

Given numbers are 978, 476, 56

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 56 are 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 978, 476, 56 is 2.

Given numbers are 978, 476, 56

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

Apply this formula for all numbers.

Step1:

LCM(978, 476) = 232764

GCD(978, 476) = ( 978 x 476 ) / 232764

= 978 / 476

= 978

Step2:

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

= 2 / 56

= 2

So, Greatest Common Divisor of 978, 476, 56 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 152, 44
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Given numbers are 978, 476, 56
The greatest common divisor of numbers 978, 476, 56 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 476, 56 is 2.

1. What is the GCD of 978, 476, 56?

GCD of given numbers 978, 476, 56 is 2

2. How to calculate the greatest common divisor of 978, 476, 56?

We can find the highest common divisor of 978, 476, 56 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 978, 476, 56 i.e 2.

3. How can I use the GCD of 978, 476, 56Calculator?

Out the numbers 978, 476, 56 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.