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GCD of 991, 345, 989, 957 Calculator

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


Online GCD Calculator is useful to find the GCD of 991, 345, 989, 957 quickly. Get the easiest ways to solve the greatest common divisor of 991, 345, 989, 957 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 991, 345, 989, 957 with Factoring?

Given Input numbers are 991, 345, 989, 957

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

Divisors of 991 :

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

1, 991

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957


GCD of numbers is the greatest common divisor

So, the GCD (991, 345, 989, 957) = 1.

Find GCD of 991, 345, 989, 957 using Prime Factorization

Given numbers are 991, 345, 989, 957

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 345 are 3 x 5 x 23

Prime factors of 989 are 23 x 43

Prime factors of 957 are 3 x 11 x 29

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

Steps to Calculate GCD of 991, 345, 989, 957 using LCM Formula

Given numbers are 991, 345, 989, 957

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

Apply this formula for all numbers.

Step1:

LCM(991, 345) = 341895

GCD(991, 345) = ( 991 x 345 ) / 341895

= 991 / 345

= 991


Step2:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


Step3:

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

= 1 / 957

= 1


So, Greatest Common Divisor of 991, 345, 989, 957 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 991, 345, 989, 957

Given numbers are 991, 345, 989, 957
The greatest common divisor of numbers 991, 345, 989, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 345, 989, 957 is 1.

FAQs on GCD of 991, 345, 989, 957 Calculator

1. What is the GCD of 991, 345, 989, 957?

GCD of given numbers 991, 345, 989, 957 is 1


2. How to calculate the greatest common divisor of 991, 345, 989, 957?

We can find the highest common divisor of 991, 345, 989, 957 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 991, 345, 989, 957 i.e 1.


3. How can I use the GCD of 991, 345, 989, 957Calculator?

Out the numbers 991, 345, 989, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.