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GCD of 480, 649, 54, 375 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 649, 54, 375 quickly. Get the easiest ways to solve the greatest common divisor of 480, 649, 54, 375 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 649, 54, 375 with Factoring?

Given Input numbers are 480, 649, 54, 375

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 649 :

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

1, 11, 59, 649

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375


GCD of numbers is the greatest common divisor

So, the GCD (480, 649, 54, 375) = 1.

Find GCD of 480, 649, 54, 375 using Prime Factorization

Given numbers are 480, 649, 54, 375

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 649 are 11 x 59

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 375 are 3 x 5 x 5 x 5

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

Steps to Calculate GCD of 480, 649, 54, 375 using LCM Formula

Given numbers are 480, 649, 54, 375

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

Apply this formula for all numbers.

Step1:

LCM(480, 649) = 311520

GCD(480, 649) = ( 480 x 649 ) / 311520

= 480 / 649

= 480


Step2:

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

= 1 / 54

= 1


Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1


So, Greatest Common Divisor of 480, 649, 54, 375 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 649, 54, 375

Given numbers are 480, 649, 54, 375
The greatest common divisor of numbers 480, 649, 54, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 649, 54, 375 is 1.

FAQs on GCD of 480, 649, 54, 375 Calculator

1. What is the GCD of 480, 649, 54, 375?

GCD of given numbers 480, 649, 54, 375 is 1


2. How to calculate the greatest common divisor of 480, 649, 54, 375?

We can find the highest common divisor of 480, 649, 54, 375 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 480, 649, 54, 375 i.e 1.


3. How can I use the GCD of 480, 649, 54, 375Calculator?

Out the numbers 480, 649, 54, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.