GCD of 524, 550, 677, 107 Calculator

Given Input numbers are 524, 550, 677, 107

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

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 524, 550, 677, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 550, 677, 107 is 1.

Therefore, GCD of numbers 524, 550, 677, 107 is 1

Given Input Data is 524, 550, 677, 107

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 677 is 677

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(524, 550) = 144100

GCD(524, 550) = ( 524 x 550 ) / 144100

GCD(524, 550) = 288200 / 144100

GCD(524, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 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 524, 550, 677, 107 is 1

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• GCD of 149, 773, 835, 719
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1. What is the GCD of 524, 550, 677, 107?

GCD of 524, 550, 677, 107 is 1

2. Where do I get the detailed procedure to find GCD of 524, 550, 677, 107?

You can find a detailed procedure to find GCD of 524, 550, 677, 107 on our page.

3. How to find GCD of 524, 550, 677, 107 on a calculator?

You can find the GCD of 524, 550, 677, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.