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GCD of 138, 574, 802, 111 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, 574, 802, 111 quickly. Get the easiest ways to solve the greatest common divisor of 138, 574, 802, 111 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 574, 802, 111 with Factoring?

Given Input numbers are 138, 574, 802, 111

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111


GCD of numbers is the greatest common divisor

So, the GCD (138, 574, 802, 111) = 1.

Find GCD of 138, 574, 802, 111 using Prime Factorization

Given numbers are 138, 574, 802, 111

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 574 are 2 x 7 x 41

Prime factors of 802 are 2 x 401

Prime factors of 111 are 3 x 37

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

Steps to Calculate GCD of 138, 574, 802, 111 using LCM Formula

Given numbers are 138, 574, 802, 111

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

Apply this formula for all numbers.

Step1:

LCM(138, 574) = 39606

GCD(138, 574) = ( 138 x 574 ) / 39606

= 138 / 574

= 138


Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2


Step3:

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

= 2 / 111

= 2


So, Greatest Common Divisor of 138, 574, 802, 111 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 574, 802, 111

Given numbers are 138, 574, 802, 111
The greatest common divisor of numbers 138, 574, 802, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 574, 802, 111 is 1.

FAQs on GCD of 138, 574, 802, 111 Calculator

1. What is the GCD of 138, 574, 802, 111?

GCD of given numbers 138, 574, 802, 111 is 1


2. How to calculate the greatest common divisor of 138, 574, 802, 111?

We can find the highest common divisor of 138, 574, 802, 111 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, 574, 802, 111 i.e 1.


3. How can I use the GCD of 138, 574, 802, 111Calculator?

Out the numbers 138, 574, 802, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.