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GCD of 367, 114, 857, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 367, 114, 857, 704 quickly. Get the easiest ways to solve the greatest common divisor of 367, 114, 857, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 367, 114, 857, 704 with Factoring?

Given Input numbers are 367, 114, 857, 704

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

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 114 :

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

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

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (367, 114, 857, 704) = 1.

Find GCD of 367, 114, 857, 704 using Prime Factorization

Given numbers are 367, 114, 857, 704

The list of prime factors of all numbers are

Prime factors of 367 are 367

Prime factors of 114 are 2 x 3 x 19

Prime factors of 857 are 857

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 367, 114, 857, 704 using LCM Formula

Given numbers are 367, 114, 857, 704

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

Apply this formula for all numbers.

Step1:

LCM(367, 114) = 41838

GCD(367, 114) = ( 367 x 114 ) / 41838

= 367 / 114

= 367


Step2:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1


Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 367, 114, 857, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 367, 114, 857, 704

Given numbers are 367, 114, 857, 704
The greatest common divisor of numbers 367, 114, 857, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 367, 114, 857, 704 is 1.

FAQs on GCD of 367, 114, 857, 704 Calculator

1. What is the GCD of 367, 114, 857, 704?

GCD of given numbers 367, 114, 857, 704 is 1


2. How to calculate the greatest common divisor of 367, 114, 857, 704?

We can find the highest common divisor of 367, 114, 857, 704 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 367, 114, 857, 704 i.e 1.


3. How can I use the GCD of 367, 114, 857, 704Calculator?

Out the numbers 367, 114, 857, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.