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GCD of 380, 974, 187, 103 Calculator

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


Online GCD Calculator is useful to find the GCD of 380, 974, 187, 103 quickly. Get the easiest ways to solve the greatest common divisor of 380, 974, 187, 103 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 974, 187, 103 with Factoring?

Given Input numbers are 380, 974, 187, 103

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 103 :

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

1, 103


GCD of numbers is the greatest common divisor

So, the GCD (380, 974, 187, 103) = 1.

Find GCD of 380, 974, 187, 103 using Prime Factorization

Given numbers are 380, 974, 187, 103

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 974 are 2 x 487

Prime factors of 187 are 11 x 17

Prime factors of 103 are 103

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

Steps to Calculate GCD of 380, 974, 187, 103 using LCM Formula

Given numbers are 380, 974, 187, 103

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

Apply this formula for all numbers.

Step1:

LCM(380, 974) = 185060

GCD(380, 974) = ( 380 x 974 ) / 185060

= 380 / 974

= 380


Step2:

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

= 2 / 187

= 2


Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1


So, Greatest Common Divisor of 380, 974, 187, 103 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 974, 187, 103

Given numbers are 380, 974, 187, 103
The greatest common divisor of numbers 380, 974, 187, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 974, 187, 103 is 1.

FAQs on GCD of 380, 974, 187, 103 Calculator

1. What is the GCD of 380, 974, 187, 103?

GCD of given numbers 380, 974, 187, 103 is 1


2. How to calculate the greatest common divisor of 380, 974, 187, 103?

We can find the highest common divisor of 380, 974, 187, 103 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 380, 974, 187, 103 i.e 1.


3. How can I use the GCD of 380, 974, 187, 103Calculator?

Out the numbers 380, 974, 187, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.