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GCD of 520, 542, 699, 648 Calculator

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


Online GCD Calculator is useful to find the GCD of 520, 542, 699, 648 quickly. Get the easiest ways to solve the greatest common divisor of 520, 542, 699, 648 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 520, 542, 699, 648 with Factoring?

Given Input numbers are 520, 542, 699, 648

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648


GCD of numbers is the greatest common divisor

So, the GCD (520, 542, 699, 648) = 1.

Find GCD of 520, 542, 699, 648 using Prime Factorization

Given numbers are 520, 542, 699, 648

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 542 are 2 x 271

Prime factors of 699 are 3 x 233

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 520, 542, 699, 648 using LCM Formula

Given numbers are 520, 542, 699, 648

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

Apply this formula for all numbers.

Step1:

LCM(520, 542) = 140920

GCD(520, 542) = ( 520 x 542 ) / 140920

= 520 / 542

= 520


Step2:

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

= 2 / 699

= 2


Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1


So, Greatest Common Divisor of 520, 542, 699, 648 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 520, 542, 699, 648

Given numbers are 520, 542, 699, 648
The greatest common divisor of numbers 520, 542, 699, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 542, 699, 648 is 1.

FAQs on GCD of 520, 542, 699, 648 Calculator

1. What is the GCD of 520, 542, 699, 648?

GCD of given numbers 520, 542, 699, 648 is 1


2. How to calculate the greatest common divisor of 520, 542, 699, 648?

We can find the highest common divisor of 520, 542, 699, 648 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 520, 542, 699, 648 i.e 1.


3. How can I use the GCD of 520, 542, 699, 648Calculator?

Out the numbers 520, 542, 699, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.