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GCD of 338, 902, 103, 977 Calculator

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


Online GCD Calculator is useful to find the GCD of 338, 902, 103, 977 quickly. Get the easiest ways to solve the greatest common divisor of 338, 902, 103, 977 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 338, 902, 103, 977 with Factoring?

Given Input numbers are 338, 902, 103, 977

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 103 :

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

1, 103

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977


GCD of numbers is the greatest common divisor

So, the GCD (338, 902, 103, 977) = 1.

Find GCD of 338, 902, 103, 977 using Prime Factorization

Given numbers are 338, 902, 103, 977

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 902 are 2 x 11 x 41

Prime factors of 103 are 103

Prime factors of 977 are 977

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

Steps to Calculate GCD of 338, 902, 103, 977 using LCM Formula

Given numbers are 338, 902, 103, 977

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

Apply this formula for all numbers.

Step1:

LCM(338, 902) = 152438

GCD(338, 902) = ( 338 x 902 ) / 152438

= 338 / 902

= 338


Step2:

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

= 2 / 103

= 2


Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1


So, Greatest Common Divisor of 338, 902, 103, 977 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 338, 902, 103, 977

Given numbers are 338, 902, 103, 977
The greatest common divisor of numbers 338, 902, 103, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 902, 103, 977 is 1.

FAQs on GCD of 338, 902, 103, 977 Calculator

1. What is the GCD of 338, 902, 103, 977?

GCD of given numbers 338, 902, 103, 977 is 1


2. How to calculate the greatest common divisor of 338, 902, 103, 977?

We can find the highest common divisor of 338, 902, 103, 977 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 338, 902, 103, 977 i.e 1.


3. How can I use the GCD of 338, 902, 103, 977Calculator?

Out the numbers 338, 902, 103, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.