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GCD of 320, 700, 559, 516 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 700, 559, 516 quickly. Get the easiest ways to solve the greatest common divisor of 320, 700, 559, 516 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 700, 559, 516 with Factoring?

Given Input numbers are 320, 700, 559, 516

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516


GCD of numbers is the greatest common divisor

So, the GCD (320, 700, 559, 516) = 1.

Find GCD of 320, 700, 559, 516 using Prime Factorization

Given numbers are 320, 700, 559, 516

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 559 are 13 x 43

Prime factors of 516 are 2 x 2 x 3 x 43

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

Steps to Calculate GCD of 320, 700, 559, 516 using LCM Formula

Given numbers are 320, 700, 559, 516

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

Apply this formula for all numbers.

Step1:

LCM(320, 700) = 11200

GCD(320, 700) = ( 320 x 700 ) / 11200

= 320 / 700

= 320


Step2:

LCM(20, 559) = 11180

GCD(20, 559) = ( 20 x 559 ) / 11180

= 20 / 559

= 20


Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1


So, Greatest Common Divisor of 320, 700, 559, 516 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 700, 559, 516

Given numbers are 320, 700, 559, 516
The greatest common divisor of numbers 320, 700, 559, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 700, 559, 516 is 1.

FAQs on GCD of 320, 700, 559, 516 Calculator

1. What is the GCD of 320, 700, 559, 516?

GCD of given numbers 320, 700, 559, 516 is 1


2. How to calculate the greatest common divisor of 320, 700, 559, 516?

We can find the highest common divisor of 320, 700, 559, 516 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 320, 700, 559, 516 i.e 1.


3. How can I use the GCD of 320, 700, 559, 516Calculator?

Out the numbers 320, 700, 559, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.