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GCD of 584, 676, 687, 545 Calculator

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


Online GCD Calculator is useful to find the GCD of 584, 676, 687, 545 quickly. Get the easiest ways to solve the greatest common divisor of 584, 676, 687, 545 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 584, 676, 687, 545 with Factoring?

Given Input numbers are 584, 676, 687, 545

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545


GCD of numbers is the greatest common divisor

So, the GCD (584, 676, 687, 545) = 1.

Find GCD of 584, 676, 687, 545 using Prime Factorization

Given numbers are 584, 676, 687, 545

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 687 are 3 x 229

Prime factors of 545 are 5 x 109

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

Steps to Calculate GCD of 584, 676, 687, 545 using LCM Formula

Given numbers are 584, 676, 687, 545

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

Apply this formula for all numbers.

Step1:

LCM(584, 676) = 98696

GCD(584, 676) = ( 584 x 676 ) / 98696

= 584 / 676

= 584


Step2:

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

= 4 / 687

= 4


Step3:

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

= 1 / 545

= 1


So, Greatest Common Divisor of 584, 676, 687, 545 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 584, 676, 687, 545

Given numbers are 584, 676, 687, 545
The greatest common divisor of numbers 584, 676, 687, 545 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 676, 687, 545 is 1.

FAQs on GCD of 584, 676, 687, 545 Calculator

1. What is the GCD of 584, 676, 687, 545?

GCD of given numbers 584, 676, 687, 545 is 1


2. How to calculate the greatest common divisor of 584, 676, 687, 545?

We can find the highest common divisor of 584, 676, 687, 545 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 584, 676, 687, 545 i.e 1.


3. How can I use the GCD of 584, 676, 687, 545Calculator?

Out the numbers 584, 676, 687, 545 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.