GCD of 959, 546, 699, 107 Calculator

Given Input numbers are 959, 546, 699, 107

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 959, 546, 699, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 546, 699, 107 is 1.

Therefore, GCD of numbers 959, 546, 699, 107 is 1

Given Input Data is 959, 546, 699, 107

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 699 is 3 x 233

Prime Factorization of 107 is 107

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(959, 546) = 74802

GCD(959, 546) = ( 959 x 546 ) / 74802

GCD(959, 546) = 523614 / 74802

GCD(959, 546) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 699

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

LCM(7, 699) = 4893

GCD(7, 699) = ( 7 x 699 ) / 4893

GCD(7, 699) = 4893 / 4893

GCD(7, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 959, 546, 699, 107 is 1

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1. What is the GCD of 959, 546, 699, 107?

GCD of 959, 546, 699, 107 is 1

2. Where do I get the detailed procedure to find GCD of 959, 546, 699, 107?

You can find a detailed procedure to find GCD of 959, 546, 699, 107 on our page.

3. How to find GCD of 959, 546, 699, 107 on a calculator?

You can find the GCD of 959, 546, 699, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.