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GCD of 123, 991, 954, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 123, 991, 954, 697 quickly. Get the easiest ways to solve the greatest common divisor of 123, 991, 954, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 123, 991, 954, 697 with Factoring?

Given Input numbers are 123, 991, 954, 697

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 991 :

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

1, 991

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (123, 991, 954, 697) = 1.

Find GCD of 123, 991, 954, 697 using Prime Factorization

Given numbers are 123, 991, 954, 697

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 991 are 991

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 123, 991, 954, 697 using LCM Formula

Given numbers are 123, 991, 954, 697

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

Apply this formula for all numbers.

Step1:

LCM(123, 991) = 121893

GCD(123, 991) = ( 123 x 991 ) / 121893

= 123 / 991

= 123


Step2:

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

= 1 / 954

= 1


Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1


So, Greatest Common Divisor of 123, 991, 954, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 123, 991, 954, 697

Given numbers are 123, 991, 954, 697
The greatest common divisor of numbers 123, 991, 954, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 991, 954, 697 is 1.

FAQs on GCD of 123, 991, 954, 697 Calculator

1. What is the GCD of 123, 991, 954, 697?

GCD of given numbers 123, 991, 954, 697 is 1


2. How to calculate the greatest common divisor of 123, 991, 954, 697?

We can find the highest common divisor of 123, 991, 954, 697 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 123, 991, 954, 697 i.e 1.


3. How can I use the GCD of 123, 991, 954, 697Calculator?

Out the numbers 123, 991, 954, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.