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GCD of 964, 592, 14, 977 Calculator

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


Online GCD Calculator is useful to find the GCD of 964, 592, 14, 977 quickly. Get the easiest ways to solve the greatest common divisor of 964, 592, 14, 977 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 592, 14, 977 with Factoring?

Given Input numbers are 964, 592, 14, 977

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

Divisors of 964 :

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

1, 2, 4, 241, 482, 964

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977


GCD of numbers is the greatest common divisor

So, the GCD (964, 592, 14, 977) = 1.

Find GCD of 964, 592, 14, 977 using Prime Factorization

Given numbers are 964, 592, 14, 977

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 14 are 2 x 7

Prime factors of 977 are 977

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

Steps to Calculate GCD of 964, 592, 14, 977 using LCM Formula

Given numbers are 964, 592, 14, 977

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

Apply this formula for all numbers.

Step1:

LCM(964, 592) = 142672

GCD(964, 592) = ( 964 x 592 ) / 142672

= 964 / 592

= 964


Step2:

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

= 4 / 14

= 4


Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2


So, Greatest Common Divisor of 964, 592, 14, 977 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 592, 14, 977

Given numbers are 964, 592, 14, 977
The greatest common divisor of numbers 964, 592, 14, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 592, 14, 977 is 1.

FAQs on GCD of 964, 592, 14, 977 Calculator

1. What is the GCD of 964, 592, 14, 977?

GCD of given numbers 964, 592, 14, 977 is 1


2. How to calculate the greatest common divisor of 964, 592, 14, 977?

We can find the highest common divisor of 964, 592, 14, 977 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 964, 592, 14, 977 i.e 1.


3. How can I use the GCD of 964, 592, 14, 977Calculator?

Out the numbers 964, 592, 14, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.