GCD of 978, 508, 928 Calculator

Given Input numbers are 978, 508, 928

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (978, 508, 928) = 2.

Given numbers are 978, 508, 928

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 508 are 2 x 2 x 127

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 978, 508, 928 is 2.

Given numbers are 978, 508, 928

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

Apply this formula for all numbers.

Step1:

LCM(978, 508) = 248412

GCD(978, 508) = ( 978 x 508 ) / 248412

= 978 / 508

= 978

Step2:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 978, 508, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 505, 109
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• GCD of 190, 845, 552
• GCD of 764, 215, 112
• GCD of 581, 806, 954

Given numbers are 978, 508, 928
The greatest common divisor of numbers 978, 508, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 508, 928 is 2.

1. What is the GCD of 978, 508, 928?

GCD of given numbers 978, 508, 928 is 2

2. How to calculate the greatest common divisor of 978, 508, 928?

We can find the highest common divisor of 978, 508, 928 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, 508, 928 i.e 2.

3. How can I use the GCD of 978, 508, 928Calculator?

Out the numbers 978, 508, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.