GCD of 980, 142, 108 Calculator

Given Input numbers are 980, 142, 108

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (980, 142, 108) = 2.

Given numbers are 980, 142, 108

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 142 are 2 x 71

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 980, 142, 108 is 2.

Given numbers are 980, 142, 108

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

Apply this formula for all numbers.

Step1:

LCM(980, 142) = 69580

GCD(980, 142) = ( 980 x 142 ) / 69580

= 980 / 142

= 980

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 980, 142, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 632, 859
• GCD of 469, 310, 174
• GCD of 511, 919, 582
• GCD of 232, 680, 103
• GCD of 341, 214, 595

Given numbers are 980, 142, 108
The greatest common divisor of numbers 980, 142, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 142, 108 is 2.

1. What is the GCD of 980, 142, 108?

GCD of given numbers 980, 142, 108 is 2

2. How to calculate the greatest common divisor of 980, 142, 108?

We can find the highest common divisor of 980, 142, 108 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 980, 142, 108 i.e 2.

3. How can I use the GCD of 980, 142, 108Calculator?

Out the numbers 980, 142, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.