GCD of 876, 144, 641, 707 Calculator

Given Input numbers are 876, 144, 641, 707

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 876, 144, 641, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 144, 641, 707 is 1.

Therefore, GCD of numbers 876, 144, 641, 707 is 1

Given Input Data is 876, 144, 641, 707

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 641 is 641

Prime Factorization of 707 is 7 x 101

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(876, 144) = 10512

GCD(876, 144) = ( 876 x 144 ) / 10512

GCD(876, 144) = 126144 / 10512

GCD(876, 144) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 641

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

LCM(12, 641) = 7692

GCD(12, 641) = ( 12 x 641 ) / 7692

GCD(12, 641) = 7692 / 7692

GCD(12, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 876, 144, 641, 707 is 1

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1. What is the GCD of 876, 144, 641, 707?

GCD of 876, 144, 641, 707 is 1

2. Where do I get the detailed procedure to find GCD of 876, 144, 641, 707?

You can find a detailed procedure to find GCD of 876, 144, 641, 707 on our page.

3. How to find GCD of 876, 144, 641, 707 on a calculator?

You can find the GCD of 876, 144, 641, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.