GCD of 172, 527, 757, 978 Calculator

Given Input numbers are 172, 527, 757, 978

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 527

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

1, 17, 31, 527

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 172, 527, 757, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 527, 757, 978 is 1.

Therefore, GCD of numbers 172, 527, 757, 978 is 1

Given Input Data is 172, 527, 757, 978

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 527 is 17 x 31

Prime Factorization of 757 is 757

Prime Factorization of 978 is 2 x 3 x 163

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(172, 527) = 90644

GCD(172, 527) = ( 172 x 527 ) / 90644

GCD(172, 527) = 90644 / 90644

GCD(172, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 172, 527, 757, 978 is 1

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1. What is the GCD of 172, 527, 757, 978?

GCD of 172, 527, 757, 978 is 1

2. Where do I get the detailed procedure to find GCD of 172, 527, 757, 978?

You can find a detailed procedure to find GCD of 172, 527, 757, 978 on our page.

3. How to find GCD of 172, 527, 757, 978 on a calculator?

You can find the GCD of 172, 527, 757, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.