GCD of 946, 719, 892, 108 Calculator

Given Input numbers are 946, 719, 892, 108

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 946, 719, 892, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 719, 892, 108 is 1.

Therefore, GCD of numbers 946, 719, 892, 108 is 1

Given Input Data is 946, 719, 892, 108

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 719 is 719

Prime Factorization of 892 is 2 x 2 x 223

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(946, 719) = 680174

GCD(946, 719) = ( 946 x 719 ) / 680174

GCD(946, 719) = 680174 / 680174

GCD(946, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 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 946, 719, 892, 108 is 1

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1. What is the GCD of 946, 719, 892, 108?

GCD of 946, 719, 892, 108 is 1

2. Where do I get the detailed procedure to find GCD of 946, 719, 892, 108?

You can find a detailed procedure to find GCD of 946, 719, 892, 108 on our page.

3. How to find GCD of 946, 719, 892, 108 on a calculator?

You can find the GCD of 946, 719, 892, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.