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GCD of 217, 120, 177, 877 Calculator

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


Online GCD Calculator is useful to find the GCD of 217, 120, 177, 877 quickly. Get the easiest ways to solve the greatest common divisor of 217, 120, 177, 877 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 217, 120, 177, 877 with Factoring?

Given Input numbers are 217, 120, 177, 877

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 877 :

The positive integer divisors of 877 that completely divides 877 are.

1, 877


GCD of numbers is the greatest common divisor

So, the GCD (217, 120, 177, 877) = 1.

Find GCD of 217, 120, 177, 877 using Prime Factorization

Given numbers are 217, 120, 177, 877

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

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

Prime factors of 177 are 3 x 59

Prime factors of 877 are 877

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

Steps to Calculate GCD of 217, 120, 177, 877 using LCM Formula

Given numbers are 217, 120, 177, 877

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

Apply this formula for all numbers.

Step1:

LCM(217, 120) = 26040

GCD(217, 120) = ( 217 x 120 ) / 26040

= 217 / 120

= 217


Step2:

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

= 1 / 177

= 1


Step3:

LCM(1, 877) = 877

GCD(1, 877) = ( 1 x 877 ) / 877

= 1 / 877

= 1


So, Greatest Common Divisor of 217, 120, 177, 877 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 217, 120, 177, 877

Given numbers are 217, 120, 177, 877
The greatest common divisor of numbers 217, 120, 177, 877 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 120, 177, 877 is 1.

FAQs on GCD of 217, 120, 177, 877 Calculator

1. What is the GCD of 217, 120, 177, 877?

GCD of given numbers 217, 120, 177, 877 is 1


2. How to calculate the greatest common divisor of 217, 120, 177, 877?

We can find the highest common divisor of 217, 120, 177, 877 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 217, 120, 177, 877 i.e 1.


3. How can I use the GCD of 217, 120, 177, 877Calculator?

Out the numbers 217, 120, 177, 877 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.