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GCD of 138, 852, 380, 703 Calculator

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


Online GCD Calculator is useful to find the GCD of 138, 852, 380, 703 quickly. Get the easiest ways to solve the greatest common divisor of 138, 852, 380, 703 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 852, 380, 703 with Factoring?

Given Input numbers are 138, 852, 380, 703

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

Divisors of 138 :

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

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703


GCD of numbers is the greatest common divisor

So, the GCD (138, 852, 380, 703) = 1.

Find GCD of 138, 852, 380, 703 using Prime Factorization

Given numbers are 138, 852, 380, 703

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 852 are 2 x 2 x 3 x 71

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

Prime factors of 703 are 19 x 37

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

Steps to Calculate GCD of 138, 852, 380, 703 using LCM Formula

Given numbers are 138, 852, 380, 703

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

Apply this formula for all numbers.

Step1:

LCM(138, 852) = 19596

GCD(138, 852) = ( 138 x 852 ) / 19596

= 138 / 852

= 138


Step2:

LCM(6, 380) = 1140

GCD(6, 380) = ( 6 x 380 ) / 1140

= 6 / 380

= 6


Step3:

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

= 2 / 703

= 2


So, Greatest Common Divisor of 138, 852, 380, 703 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 852, 380, 703

Given numbers are 138, 852, 380, 703
The greatest common divisor of numbers 138, 852, 380, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 852, 380, 703 is 1.

FAQs on GCD of 138, 852, 380, 703 Calculator

1. What is the GCD of 138, 852, 380, 703?

GCD of given numbers 138, 852, 380, 703 is 1


2. How to calculate the greatest common divisor of 138, 852, 380, 703?

We can find the highest common divisor of 138, 852, 380, 703 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 138, 852, 380, 703 i.e 1.


3. How can I use the GCD of 138, 852, 380, 703Calculator?

Out the numbers 138, 852, 380, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.