GCD of 988, 978, 302 Calculator

Given Input numbers are 988, 978, 302

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 978 :

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

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (988, 978, 302) = 2.

Given numbers are 988, 978, 302

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 978 are 2 x 3 x 163

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 988, 978, 302 is 2.

Given numbers are 988, 978, 302

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

Apply this formula for all numbers.

Step1:

LCM(988, 978) = 483132

GCD(988, 978) = ( 988 x 978 ) / 483132

= 988 / 978

= 988

Step2:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 988, 978, 302 is 2

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Given numbers are 988, 978, 302
The greatest common divisor of numbers 988, 978, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 978, 302 is 2.

1. What is the GCD of 988, 978, 302?

GCD of given numbers 988, 978, 302 is 2

2. How to calculate the greatest common divisor of 988, 978, 302?

We can find the highest common divisor of 988, 978, 302 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 988, 978, 302 i.e 2.

3. How can I use the GCD of 988, 978, 302Calculator?

Out the numbers 988, 978, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.