LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 513, 892, 721, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 892, 721, 676 quickly. Get the easiest ways to solve the greatest common divisor of 513, 892, 721, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 892, 721, 676 with Factoring?

Given Input numbers are 513, 892, 721, 676

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 676 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (513, 892, 721, 676) = 1.

Find GCD of 513, 892, 721, 676 using Prime Factorization

Given numbers are 513, 892, 721, 676

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 892 are 2 x 2 x 223

Prime factors of 721 are 7 x 103

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

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

Steps to Calculate GCD of 513, 892, 721, 676 using LCM Formula

Given numbers are 513, 892, 721, 676

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

Apply this formula for all numbers.

Step1:

LCM(513, 892) = 457596

GCD(513, 892) = ( 513 x 892 ) / 457596

= 513 / 892

= 513


Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1


Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


So, Greatest Common Divisor of 513, 892, 721, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 892, 721, 676

Given numbers are 513, 892, 721, 676
The greatest common divisor of numbers 513, 892, 721, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 892, 721, 676 is 1.

FAQs on GCD of 513, 892, 721, 676 Calculator

1. What is the GCD of 513, 892, 721, 676?

GCD of given numbers 513, 892, 721, 676 is 1


2. How to calculate the greatest common divisor of 513, 892, 721, 676?

We can find the highest common divisor of 513, 892, 721, 676 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 513, 892, 721, 676 i.e 1.


3. How can I use the GCD of 513, 892, 721, 676Calculator?

Out the numbers 513, 892, 721, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.