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GCD of 300, 478, 649, 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 300, 478, 649, 964 quickly. Get the easiest ways to solve the greatest common divisor of 300, 478, 649, 964 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 300, 478, 649, 964 with Factoring?

Given Input numbers are 300, 478, 649, 964

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

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 (300, 478, 649, 964) = 1.

Find GCD of 300, 478, 649, 964 using Prime Factorization

Given numbers are 300, 478, 649, 964

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 478 are 2 x 239

Prime factors of 649 are 11 x 59

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 300, 478, 649, 964 using LCM Formula

Given numbers are 300, 478, 649, 964

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

Apply this formula for all numbers.

Step1:

LCM(300, 478) = 71700

GCD(300, 478) = ( 300 x 478 ) / 71700

= 300 / 478

= 300


Step2:

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

= 2 / 649

= 2


Step3:

LCM(1, 964) = 964

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

= 1 / 964

= 1


So, Greatest Common Divisor of 300, 478, 649, 964 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 300, 478, 649, 964

Given numbers are 300, 478, 649, 964
The greatest common divisor of numbers 300, 478, 649, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 478, 649, 964 is 1.

FAQs on GCD of 300, 478, 649, 964 Calculator

1. What is the GCD of 300, 478, 649, 964?

GCD of given numbers 300, 478, 649, 964 is 1


2. How to calculate the greatest common divisor of 300, 478, 649, 964?

We can find the highest common divisor of 300, 478, 649, 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 300, 478, 649, 964 i.e 1.


3. How can I use the GCD of 300, 478, 649, 964Calculator?

Out the numbers 300, 478, 649, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.