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GCD of 969, 175, 597, 116 Calculator

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


Online GCD Calculator is useful to find the GCD of 969, 175, 597, 116 quickly. Get the easiest ways to solve the greatest common divisor of 969, 175, 597, 116 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 175, 597, 116 with Factoring?

Given Input numbers are 969, 175, 597, 116

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116


GCD of numbers is the greatest common divisor

So, the GCD (969, 175, 597, 116) = 1.

Find GCD of 969, 175, 597, 116 using Prime Factorization

Given numbers are 969, 175, 597, 116

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 175 are 5 x 5 x 7

Prime factors of 597 are 3 x 199

Prime factors of 116 are 2 x 2 x 29

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

Steps to Calculate GCD of 969, 175, 597, 116 using LCM Formula

Given numbers are 969, 175, 597, 116

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

Apply this formula for all numbers.

Step1:

LCM(969, 175) = 169575

GCD(969, 175) = ( 969 x 175 ) / 169575

= 969 / 175

= 969


Step2:

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

= 1 / 597

= 1


Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1


So, Greatest Common Divisor of 969, 175, 597, 116 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 175, 597, 116

Given numbers are 969, 175, 597, 116
The greatest common divisor of numbers 969, 175, 597, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 175, 597, 116 is 1.

FAQs on GCD of 969, 175, 597, 116 Calculator

1. What is the GCD of 969, 175, 597, 116?

GCD of given numbers 969, 175, 597, 116 is 1


2. How to calculate the greatest common divisor of 969, 175, 597, 116?

We can find the highest common divisor of 969, 175, 597, 116 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 969, 175, 597, 116 i.e 1.


3. How can I use the GCD of 969, 175, 597, 116Calculator?

Out the numbers 969, 175, 597, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.