GCD of 978, 618, 316, 142 Calculator

Given Input numbers are 978, 618, 316, 142

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (978, 618, 316, 142) = 2.

Given numbers are 978, 618, 316, 142

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 618 are 2 x 3 x 103

Prime factors of 316 are 2 x 2 x 79

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 978, 618, 316, 142 is 2.

Given numbers are 978, 618, 316, 142

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

Apply this formula for all numbers.

Step1:

LCM(978, 618) = 100734

GCD(978, 618) = ( 978 x 618 ) / 100734

= 978 / 618

= 978

Step2:

LCM(6, 316) = 948

GCD(6, 316) = ( 6 x 316 ) / 948

= 6 / 316

= 6

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 978, 618, 316, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 185, 906, 846
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Given numbers are 978, 618, 316, 142
The greatest common divisor of numbers 978, 618, 316, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 618, 316, 142 is 2.

1. What is the GCD of 978, 618, 316, 142?

GCD of given numbers 978, 618, 316, 142 is 2

2. How to calculate the greatest common divisor of 978, 618, 316, 142?

We can find the highest common divisor of 978, 618, 316, 142 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, 618, 316, 142 i.e 2.

3. How can I use the GCD of 978, 618, 316, 142Calculator?

Out the numbers 978, 618, 316, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.