GCD of 978, 102, 684 Calculator

Given Input numbers are 978, 102, 684

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (978, 102, 684) = 6.

Given numbers are 978, 102, 684

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 102 are 2 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 978, 102, 684 is 6.

Given numbers are 978, 102, 684

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

Apply this formula for all numbers.

Step1:

LCM(978, 102) = 16626

GCD(978, 102) = ( 978 x 102 ) / 16626

= 978 / 102

= 978

Step2:

LCM(6, 684) = 684

GCD(6, 684) = ( 6 x 684 ) / 684

= 6 / 684

= 6

So, Greatest Common Divisor of 978, 102, 684 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 307, 986
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Given numbers are 978, 102, 684
The greatest common divisor of numbers 978, 102, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 102, 684 is 6.

1. What is the GCD of 978, 102, 684?

GCD of given numbers 978, 102, 684 is 6

2. How to calculate the greatest common divisor of 978, 102, 684?

We can find the highest common divisor of 978, 102, 684 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, 102, 684 i.e 6.

3. How can I use the GCD of 978, 102, 684Calculator?

Out the numbers 978, 102, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.