LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 638, 685, 108, 114 Calculator

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


Online GCD Calculator is useful to find the GCD of 638, 685, 108, 114 quickly. Get the easiest ways to solve the greatest common divisor of 638, 685, 108, 114 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 638, 685, 108, 114 with Factoring?

Given Input numbers are 638, 685, 108, 114

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114


GCD of numbers is the greatest common divisor

So, the GCD (638, 685, 108, 114) = 1.

Find GCD of 638, 685, 108, 114 using Prime Factorization

Given numbers are 638, 685, 108, 114

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 685 are 5 x 137

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 114 are 2 x 3 x 19

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

Steps to Calculate GCD of 638, 685, 108, 114 using LCM Formula

Given numbers are 638, 685, 108, 114

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

Apply this formula for all numbers.

Step1:

LCM(638, 685) = 437030

GCD(638, 685) = ( 638 x 685 ) / 437030

= 638 / 685

= 638


Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1


Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1


So, Greatest Common Divisor of 638, 685, 108, 114 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 638, 685, 108, 114

Given numbers are 638, 685, 108, 114
The greatest common divisor of numbers 638, 685, 108, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 685, 108, 114 is 1.

FAQs on GCD of 638, 685, 108, 114 Calculator

1. What is the GCD of 638, 685, 108, 114?

GCD of given numbers 638, 685, 108, 114 is 1


2. How to calculate the greatest common divisor of 638, 685, 108, 114?

We can find the highest common divisor of 638, 685, 108, 114 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 638, 685, 108, 114 i.e 1.


3. How can I use the GCD of 638, 685, 108, 114Calculator?

Out the numbers 638, 685, 108, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.