GCD of 967, 958, 120, 108 Calculator

Given Input numbers are 967, 958, 120, 108

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

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

Greatest Common Divisior

We found the divisors of 967, 958, 120, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 958, 120, 108 is 1.

Therefore, GCD of numbers 967, 958, 120, 108 is 1

Given Input Data is 967, 958, 120, 108

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 967 is 967

Prime Factorization of 958 is 2 x 479

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(967, 958) = 926386

GCD(967, 958) = ( 967 x 958 ) / 926386

GCD(967, 958) = 926386 / 926386

GCD(967, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 967, 958, 120, 108 is 1

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1. What is the GCD of 967, 958, 120, 108?

GCD of 967, 958, 120, 108 is 1

2. Where do I get the detailed procedure to find GCD of 967, 958, 120, 108?

You can find a detailed procedure to find GCD of 967, 958, 120, 108 on our page.

3. How to find GCD of 967, 958, 120, 108 on a calculator?

You can find the GCD of 967, 958, 120, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.