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GCD of 969, 497, 138, 904 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, 497, 138, 904 quickly. Get the easiest ways to solve the greatest common divisor of 969, 497, 138, 904 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 969, 497, 138, 904 with Factoring?

Given Input numbers are 969, 497, 138, 904

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 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904


GCD of numbers is the greatest common divisor

So, the GCD (969, 497, 138, 904) = 1.

Find GCD of 969, 497, 138, 904 using Prime Factorization

Given numbers are 969, 497, 138, 904

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 497 are 7 x 71

Prime factors of 138 are 2 x 3 x 23

Prime factors of 904 are 2 x 2 x 2 x 113

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

Steps to Calculate GCD of 969, 497, 138, 904 using LCM Formula

Given numbers are 969, 497, 138, 904

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

Apply this formula for all numbers.

Step1:

LCM(969, 497) = 481593

GCD(969, 497) = ( 969 x 497 ) / 481593

= 969 / 497

= 969


Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


Step3:

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

= 1 / 904

= 1


So, Greatest Common Divisor of 969, 497, 138, 904 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 969, 497, 138, 904

Given numbers are 969, 497, 138, 904
The greatest common divisor of numbers 969, 497, 138, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 497, 138, 904 is 1.

FAQs on GCD of 969, 497, 138, 904 Calculator

1. What is the GCD of 969, 497, 138, 904?

GCD of given numbers 969, 497, 138, 904 is 1


2. How to calculate the greatest common divisor of 969, 497, 138, 904?

We can find the highest common divisor of 969, 497, 138, 904 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, 497, 138, 904 i.e 1.


3. How can I use the GCD of 969, 497, 138, 904Calculator?

Out the numbers 969, 497, 138, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.