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GCD of 763, 973, 171, 172 Calculator

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


Online GCD Calculator is useful to find the GCD of 763, 973, 171, 172 quickly. Get the easiest ways to solve the greatest common divisor of 763, 973, 171, 172 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 763, 973, 171, 172 with Factoring?

Given Input numbers are 763, 973, 171, 172

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 172 :

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

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (763, 973, 171, 172) = 1.

Find GCD of 763, 973, 171, 172 using Prime Factorization

Given numbers are 763, 973, 171, 172

The list of prime factors of all numbers are

Prime factors of 763 are 7 x 109

Prime factors of 973 are 7 x 139

Prime factors of 171 are 3 x 3 x 19

Prime factors of 172 are 2 x 2 x 43

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

Steps to Calculate GCD of 763, 973, 171, 172 using LCM Formula

Given numbers are 763, 973, 171, 172

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

Apply this formula for all numbers.

Step1:

LCM(763, 973) = 106057

GCD(763, 973) = ( 763 x 973 ) / 106057

= 763 / 973

= 763


Step2:

LCM(7, 171) = 1197

GCD(7, 171) = ( 7 x 171 ) / 1197

= 7 / 171

= 7


Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1


So, Greatest Common Divisor of 763, 973, 171, 172 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 763, 973, 171, 172

Given numbers are 763, 973, 171, 172
The greatest common divisor of numbers 763, 973, 171, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 763, 973, 171, 172 is 1.

FAQs on GCD of 763, 973, 171, 172 Calculator

1. What is the GCD of 763, 973, 171, 172?

GCD of given numbers 763, 973, 171, 172 is 1


2. How to calculate the greatest common divisor of 763, 973, 171, 172?

We can find the highest common divisor of 763, 973, 171, 172 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 763, 973, 171, 172 i.e 1.


3. How can I use the GCD of 763, 973, 171, 172Calculator?

Out the numbers 763, 973, 171, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.