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GCD of 676, 692, 173, 991 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 692, 173, 991 quickly. Get the easiest ways to solve the greatest common divisor of 676, 692, 173, 991 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 692, 173, 991 with Factoring?

Given Input numbers are 676, 692, 173, 991

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991


GCD of numbers is the greatest common divisor

So, the GCD (676, 692, 173, 991) = 1.

Find GCD of 676, 692, 173, 991 using Prime Factorization

Given numbers are 676, 692, 173, 991

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 692 are 2 x 2 x 173

Prime factors of 173 are 173

Prime factors of 991 are 991

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

Steps to Calculate GCD of 676, 692, 173, 991 using LCM Formula

Given numbers are 676, 692, 173, 991

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

Apply this formula for all numbers.

Step1:

LCM(676, 692) = 116948

GCD(676, 692) = ( 676 x 692 ) / 116948

= 676 / 692

= 676


Step2:

LCM(4, 173) = 692

GCD(4, 173) = ( 4 x 173 ) / 692

= 4 / 173

= 4


Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1


So, Greatest Common Divisor of 676, 692, 173, 991 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 692, 173, 991

Given numbers are 676, 692, 173, 991
The greatest common divisor of numbers 676, 692, 173, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 692, 173, 991 is 1.

FAQs on GCD of 676, 692, 173, 991 Calculator

1. What is the GCD of 676, 692, 173, 991?

GCD of given numbers 676, 692, 173, 991 is 1


2. How to calculate the greatest common divisor of 676, 692, 173, 991?

We can find the highest common divisor of 676, 692, 173, 991 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 676, 692, 173, 991 i.e 1.


3. How can I use the GCD of 676, 692, 173, 991Calculator?

Out the numbers 676, 692, 173, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.