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GCD of 600, 500, 706, 801 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 500, 706, 801 quickly. Get the easiest ways to solve the greatest common divisor of 600, 500, 706, 801 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 500, 706, 801 with Factoring?

Given Input numbers are 600, 500, 706, 801

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801


GCD of numbers is the greatest common divisor

So, the GCD (600, 500, 706, 801) = 1.

Find GCD of 600, 500, 706, 801 using Prime Factorization

Given numbers are 600, 500, 706, 801

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 706 are 2 x 353

Prime factors of 801 are 3 x 3 x 89

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

Steps to Calculate GCD of 600, 500, 706, 801 using LCM Formula

Given numbers are 600, 500, 706, 801

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

Apply this formula for all numbers.

Step1:

LCM(600, 500) = 3000

GCD(600, 500) = ( 600 x 500 ) / 3000

= 600 / 500

= 600


Step2:

LCM(100, 706) = 35300

GCD(100, 706) = ( 100 x 706 ) / 35300

= 100 / 706

= 100


Step3:

LCM(2, 801) = 1602

GCD(2, 801) = ( 2 x 801 ) / 1602

= 2 / 801

= 2


So, Greatest Common Divisor of 600, 500, 706, 801 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 500, 706, 801

Given numbers are 600, 500, 706, 801
The greatest common divisor of numbers 600, 500, 706, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 500, 706, 801 is 1.

FAQs on GCD of 600, 500, 706, 801 Calculator

1. What is the GCD of 600, 500, 706, 801?

GCD of given numbers 600, 500, 706, 801 is 1


2. How to calculate the greatest common divisor of 600, 500, 706, 801?

We can find the highest common divisor of 600, 500, 706, 801 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 600, 500, 706, 801 i.e 1.


3. How can I use the GCD of 600, 500, 706, 801Calculator?

Out the numbers 600, 500, 706, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.