GCD of 920, 158, 643, 527 Calculator

Given Input numbers are 920, 158, 643, 527

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 920, 158, 643, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 158, 643, 527 is 1.

Therefore, GCD of numbers 920, 158, 643, 527 is 1

Given Input Data is 920, 158, 643, 527

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 158 is 2 x 79

Prime Factorization of 643 is 643

Prime Factorization of 527 is 17 x 31

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(920, 158) = 72680

GCD(920, 158) = ( 920 x 158 ) / 72680

GCD(920, 158) = 145360 / 72680

GCD(920, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 920, 158, 643, 527 is 1

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1. What is the GCD of 920, 158, 643, 527?

GCD of 920, 158, 643, 527 is 1

2. Where do I get the detailed procedure to find GCD of 920, 158, 643, 527?

You can find a detailed procedure to find GCD of 920, 158, 643, 527 on our page.

3. How to find GCD of 920, 158, 643, 527 on a calculator?

You can find the GCD of 920, 158, 643, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.