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GCD of 103, 695, 791, 989 Calculator

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


Online GCD Calculator is useful to find the GCD of 103, 695, 791, 989 quickly. Get the easiest ways to solve the greatest common divisor of 103, 695, 791, 989 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 103, 695, 791, 989 with Factoring?

Given Input numbers are 103, 695, 791, 989

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

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 989 :

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

1, 23, 43, 989


GCD of numbers is the greatest common divisor

So, the GCD (103, 695, 791, 989) = 1.

Find GCD of 103, 695, 791, 989 using Prime Factorization

Given numbers are 103, 695, 791, 989

The list of prime factors of all numbers are

Prime factors of 103 are 103

Prime factors of 695 are 5 x 139

Prime factors of 791 are 7 x 113

Prime factors of 989 are 23 x 43

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

Steps to Calculate GCD of 103, 695, 791, 989 using LCM Formula

Given numbers are 103, 695, 791, 989

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

Apply this formula for all numbers.

Step1:

LCM(103, 695) = 71585

GCD(103, 695) = ( 103 x 695 ) / 71585

= 103 / 695

= 103


Step2:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1


Step3:

LCM(1, 989) = 989

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

= 1 / 989

= 1


So, Greatest Common Divisor of 103, 695, 791, 989 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 103, 695, 791, 989

Given numbers are 103, 695, 791, 989
The greatest common divisor of numbers 103, 695, 791, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 695, 791, 989 is 1.

FAQs on GCD of 103, 695, 791, 989 Calculator

1. What is the GCD of 103, 695, 791, 989?

GCD of given numbers 103, 695, 791, 989 is 1


2. How to calculate the greatest common divisor of 103, 695, 791, 989?

We can find the highest common divisor of 103, 695, 791, 989 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 103, 695, 791, 989 i.e 1.


3. How can I use the GCD of 103, 695, 791, 989Calculator?

Out the numbers 103, 695, 791, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.