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GCD of 501, 677, 114, 964 Calculator

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


Online GCD Calculator is useful to find the GCD of 501, 677, 114, 964 quickly. Get the easiest ways to solve the greatest common divisor of 501, 677, 114, 964 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 501, 677, 114, 964 with Factoring?

Given Input numbers are 501, 677, 114, 964

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964


GCD of numbers is the greatest common divisor

So, the GCD (501, 677, 114, 964) = 1.

Find GCD of 501, 677, 114, 964 using Prime Factorization

Given numbers are 501, 677, 114, 964

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 677 are 677

Prime factors of 114 are 2 x 3 x 19

Prime factors of 964 are 2 x 2 x 241

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

Steps to Calculate GCD of 501, 677, 114, 964 using LCM Formula

Given numbers are 501, 677, 114, 964

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

Apply this formula for all numbers.

Step1:

LCM(501, 677) = 339177

GCD(501, 677) = ( 501 x 677 ) / 339177

= 501 / 677

= 501


Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1


Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1


So, Greatest Common Divisor of 501, 677, 114, 964 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 501, 677, 114, 964

Given numbers are 501, 677, 114, 964
The greatest common divisor of numbers 501, 677, 114, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 677, 114, 964 is 1.

FAQs on GCD of 501, 677, 114, 964 Calculator

1. What is the GCD of 501, 677, 114, 964?

GCD of given numbers 501, 677, 114, 964 is 1


2. How to calculate the greatest common divisor of 501, 677, 114, 964?

We can find the highest common divisor of 501, 677, 114, 964 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 501, 677, 114, 964 i.e 1.


3. How can I use the GCD of 501, 677, 114, 964Calculator?

Out the numbers 501, 677, 114, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.