GCD of 959, 700, 45, 867 Calculator

Given Input numbers are 959, 700, 45, 867

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 959, 700, 45, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 700, 45, 867 is 1.

Therefore, GCD of numbers 959, 700, 45, 867 is 1

Given Input Data is 959, 700, 45, 867

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 867 is 3 x 17 x 17

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, 700) = 95900

GCD(959, 700) = ( 959 x 700 ) / 95900

GCD(959, 700) = 671300 / 95900

GCD(959, 700) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 45

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

LCM(7, 45) = 315

GCD(7, 45) = ( 7 x 45 ) / 315

GCD(7, 45) = 315 / 315

GCD(7, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 959, 700, 45, 867 is 1

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1. What is the GCD of 959, 700, 45, 867?

GCD of 959, 700, 45, 867 is 1

2. Where do I get the detailed procedure to find GCD of 959, 700, 45, 867?

You can find a detailed procedure to find GCD of 959, 700, 45, 867 on our page.

3. How to find GCD of 959, 700, 45, 867 on a calculator?

You can find the GCD of 959, 700, 45, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.