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GCD of 488, 172, 675, 771 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 488, 172, 675, 771 quickly. Get the easiest ways to solve the greatest common divisor of 488, 172, 675, 771 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 488, 172, 675, 771 with Factoring?

Given Input numbers are 488, 172, 675, 771

In the factoring method, we have to find the divisors of all numbers

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771


GCD of numbers is the greatest common divisor

So, the GCD (488, 172, 675, 771) = 1.

Find GCD of 488, 172, 675, 771 using Prime Factorization

Given numbers are 488, 172, 675, 771

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 172 are 2 x 2 x 43

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 771 are 3 x 257

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 488, 172, 675, 771 using LCM Formula

Given numbers are 488, 172, 675, 771

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(488, 172) = 20984

GCD(488, 172) = ( 488 x 172 ) / 20984

= 488 / 172

= 488


Step2:

LCM(4, 675) = 2700

GCD(4, 675) = ( 4 x 675 ) / 2700

= 4 / 675

= 4


Step3:

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

= 1 / 771

= 1


So, Greatest Common Divisor of 488, 172, 675, 771 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 488, 172, 675, 771

Given numbers are 488, 172, 675, 771
The greatest common divisor of numbers 488, 172, 675, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 172, 675, 771 is 1.

FAQs on GCD of 488, 172, 675, 771 Calculator

1. What is the GCD of 488, 172, 675, 771?

GCD of given numbers 488, 172, 675, 771 is 1


2. How to calculate the greatest common divisor of 488, 172, 675, 771?

We can find the highest common divisor of 488, 172, 675, 771 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 488, 172, 675, 771 i.e 1.


3. How can I use the GCD of 488, 172, 675, 771Calculator?

Out the numbers 488, 172, 675, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.