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GCD of 347, 120, 864, 362 Calculator

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


Online GCD Calculator is useful to find the GCD of 347, 120, 864, 362 quickly. Get the easiest ways to solve the greatest common divisor of 347, 120, 864, 362 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 347, 120, 864, 362 with Factoring?

Given Input numbers are 347, 120, 864, 362

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

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362


GCD of numbers is the greatest common divisor

So, the GCD (347, 120, 864, 362) = 1.

Find GCD of 347, 120, 864, 362 using Prime Factorization

Given numbers are 347, 120, 864, 362

The list of prime factors of all numbers are

Prime factors of 347 are 347

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 362 are 2 x 181

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

Steps to Calculate GCD of 347, 120, 864, 362 using LCM Formula

Given numbers are 347, 120, 864, 362

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

Apply this formula for all numbers.

Step1:

LCM(347, 120) = 41640

GCD(347, 120) = ( 347 x 120 ) / 41640

= 347 / 120

= 347


Step2:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1


Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1


So, Greatest Common Divisor of 347, 120, 864, 362 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 347, 120, 864, 362

Given numbers are 347, 120, 864, 362
The greatest common divisor of numbers 347, 120, 864, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 347, 120, 864, 362 is 1.

FAQs on GCD of 347, 120, 864, 362 Calculator

1. What is the GCD of 347, 120, 864, 362?

GCD of given numbers 347, 120, 864, 362 is 1


2. How to calculate the greatest common divisor of 347, 120, 864, 362?

We can find the highest common divisor of 347, 120, 864, 362 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 347, 120, 864, 362 i.e 1.


3. How can I use the GCD of 347, 120, 864, 362Calculator?

Out the numbers 347, 120, 864, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.