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GCD of 480, 708, 452, 677 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, 708, 452, 677 quickly. Get the easiest ways to solve the greatest common divisor of 480, 708, 452, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 708, 452, 677 with Factoring?

Given Input numbers are 480, 708, 452, 677

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 677 :

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

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (480, 708, 452, 677) = 1.

Find GCD of 480, 708, 452, 677 using Prime Factorization

Given numbers are 480, 708, 452, 677

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 708 are 2 x 2 x 3 x 59

Prime factors of 452 are 2 x 2 x 113

Prime factors of 677 are 677

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

Steps to Calculate GCD of 480, 708, 452, 677 using LCM Formula

Given numbers are 480, 708, 452, 677

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

Apply this formula for all numbers.

Step1:

LCM(480, 708) = 28320

GCD(480, 708) = ( 480 x 708 ) / 28320

= 480 / 708

= 480


Step2:

LCM(12, 452) = 1356

GCD(12, 452) = ( 12 x 452 ) / 1356

= 12 / 452

= 12


Step3:

LCM(4, 677) = 2708

GCD(4, 677) = ( 4 x 677 ) / 2708

= 4 / 677

= 4


So, Greatest Common Divisor of 480, 708, 452, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 708, 452, 677

Given numbers are 480, 708, 452, 677
The greatest common divisor of numbers 480, 708, 452, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 708, 452, 677 is 1.

FAQs on GCD of 480, 708, 452, 677 Calculator

1. What is the GCD of 480, 708, 452, 677?

GCD of given numbers 480, 708, 452, 677 is 1


2. How to calculate the greatest common divisor of 480, 708, 452, 677?

We can find the highest common divisor of 480, 708, 452, 677 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, 708, 452, 677 i.e 1.


3. How can I use the GCD of 480, 708, 452, 677Calculator?

Out the numbers 480, 708, 452, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.