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GCD of 873, 375, 352, 360 Calculator

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


Online GCD Calculator is useful to find the GCD of 873, 375, 352, 360 quickly. Get the easiest ways to solve the greatest common divisor of 873, 375, 352, 360 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 873, 375, 352, 360 with Factoring?

Given Input numbers are 873, 375, 352, 360

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360


GCD of numbers is the greatest common divisor

So, the GCD (873, 375, 352, 360) = 1.

Find GCD of 873, 375, 352, 360 using Prime Factorization

Given numbers are 873, 375, 352, 360

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 873, 375, 352, 360 using LCM Formula

Given numbers are 873, 375, 352, 360

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

Apply this formula for all numbers.

Step1:

LCM(873, 375) = 109125

GCD(873, 375) = ( 873 x 375 ) / 109125

= 873 / 375

= 873


Step2:

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

= 3 / 352

= 3


Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1


So, Greatest Common Divisor of 873, 375, 352, 360 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 873, 375, 352, 360

Given numbers are 873, 375, 352, 360
The greatest common divisor of numbers 873, 375, 352, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 375, 352, 360 is 1.

FAQs on GCD of 873, 375, 352, 360 Calculator

1. What is the GCD of 873, 375, 352, 360?

GCD of given numbers 873, 375, 352, 360 is 1


2. How to calculate the greatest common divisor of 873, 375, 352, 360?

We can find the highest common divisor of 873, 375, 352, 360 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 873, 375, 352, 360 i.e 1.


3. How can I use the GCD of 873, 375, 352, 360Calculator?

Out the numbers 873, 375, 352, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.