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GCD of 675, 107, 141, 304 Calculator

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


Online GCD Calculator is useful to find the GCD of 675, 107, 141, 304 quickly. Get the easiest ways to solve the greatest common divisor of 675, 107, 141, 304 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 675, 107, 141, 304 with Factoring?

Given Input numbers are 675, 107, 141, 304

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304


GCD of numbers is the greatest common divisor

So, the GCD (675, 107, 141, 304) = 1.

Find GCD of 675, 107, 141, 304 using Prime Factorization

Given numbers are 675, 107, 141, 304

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 107 are 107

Prime factors of 141 are 3 x 47

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 675, 107, 141, 304 using LCM Formula

Given numbers are 675, 107, 141, 304

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

Apply this formula for all numbers.

Step1:

LCM(675, 107) = 72225

GCD(675, 107) = ( 675 x 107 ) / 72225

= 675 / 107

= 675


Step2:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1


Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


So, Greatest Common Divisor of 675, 107, 141, 304 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 675, 107, 141, 304

Given numbers are 675, 107, 141, 304
The greatest common divisor of numbers 675, 107, 141, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 107, 141, 304 is 1.

FAQs on GCD of 675, 107, 141, 304 Calculator

1. What is the GCD of 675, 107, 141, 304?

GCD of given numbers 675, 107, 141, 304 is 1


2. How to calculate the greatest common divisor of 675, 107, 141, 304?

We can find the highest common divisor of 675, 107, 141, 304 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 675, 107, 141, 304 i.e 1.


3. How can I use the GCD of 675, 107, 141, 304Calculator?

Out the numbers 675, 107, 141, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.