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GCD of 175, 665, 120, 855 Calculator

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


Online GCD Calculator is useful to find the GCD of 175, 665, 120, 855 quickly. Get the easiest ways to solve the greatest common divisor of 175, 665, 120, 855 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 175, 665, 120, 855 with Factoring?

Given Input numbers are 175, 665, 120, 855

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

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 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (175, 665, 120, 855) = 5.

Find GCD of 175, 665, 120, 855 using Prime Factorization

Given numbers are 175, 665, 120, 855

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 665 are 5 x 7 x 19

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

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 51

Therefore, GCD of 175, 665, 120, 855 is 5.

Steps to Calculate GCD of 175, 665, 120, 855 using LCM Formula

Given numbers are 175, 665, 120, 855

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

Apply this formula for all numbers.

Step1:

LCM(175, 665) = 3325

GCD(175, 665) = ( 175 x 665 ) / 3325

= 175 / 665

= 175


Step2:

LCM(35, 120) = 840

GCD(35, 120) = ( 35 x 120 ) / 840

= 35 / 120

= 35


Step3:

LCM(5, 855) = 855

GCD(5, 855) = ( 5 x 855 ) / 855

= 5 / 855

= 5


So, Greatest Common Divisor of 175, 665, 120, 855 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 175, 665, 120, 855

Given numbers are 175, 665, 120, 855
The greatest common divisor of numbers 175, 665, 120, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 665, 120, 855 is 5.

FAQs on GCD of 175, 665, 120, 855 Calculator

1. What is the GCD of 175, 665, 120, 855?

GCD of given numbers 175, 665, 120, 855 is 5


2. How to calculate the greatest common divisor of 175, 665, 120, 855?

We can find the highest common divisor of 175, 665, 120, 855 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 175, 665, 120, 855 i.e 5.


3. How can I use the GCD of 175, 665, 120, 855Calculator?

Out the numbers 175, 665, 120, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.