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GCD of 109, 378, 818, 712 Calculator

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


Online GCD Calculator is useful to find the GCD of 109, 378, 818, 712 quickly. Get the easiest ways to solve the greatest common divisor of 109, 378, 818, 712 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 109, 378, 818, 712 with Factoring?

Given Input numbers are 109, 378, 818, 712

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712


GCD of numbers is the greatest common divisor

So, the GCD (109, 378, 818, 712) = 1.

Find GCD of 109, 378, 818, 712 using Prime Factorization

Given numbers are 109, 378, 818, 712

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 818 are 2 x 409

Prime factors of 712 are 2 x 2 x 2 x 89

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

Steps to Calculate GCD of 109, 378, 818, 712 using LCM Formula

Given numbers are 109, 378, 818, 712

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

Apply this formula for all numbers.

Step1:

LCM(109, 378) = 41202

GCD(109, 378) = ( 109 x 378 ) / 41202

= 109 / 378

= 109


Step2:

LCM(1, 818) = 818

GCD(1, 818) = ( 1 x 818 ) / 818

= 1 / 818

= 1


Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1


So, Greatest Common Divisor of 109, 378, 818, 712 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 109, 378, 818, 712

Given numbers are 109, 378, 818, 712
The greatest common divisor of numbers 109, 378, 818, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 378, 818, 712 is 1.

FAQs on GCD of 109, 378, 818, 712 Calculator

1. What is the GCD of 109, 378, 818, 712?

GCD of given numbers 109, 378, 818, 712 is 1


2. How to calculate the greatest common divisor of 109, 378, 818, 712?

We can find the highest common divisor of 109, 378, 818, 712 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 109, 378, 818, 712 i.e 1.


3. How can I use the GCD of 109, 378, 818, 712Calculator?

Out the numbers 109, 378, 818, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.