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GCD of 708, 582, 200, 862 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 582, 200, 862 quickly. Get the easiest ways to solve the greatest common divisor of 708, 582, 200, 862 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 582, 200, 862 with Factoring?

Given Input numbers are 708, 582, 200, 862

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862


GCD of numbers is the greatest common divisor

So, the GCD (708, 582, 200, 862) = 2.

Find GCD of 708, 582, 200, 862 using Prime Factorization

Given numbers are 708, 582, 200, 862

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 582 are 2 x 3 x 97

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 862 are 2 x 431

The highest common occurrence is 21

Therefore, GCD of 708, 582, 200, 862 is 2.

Steps to Calculate GCD of 708, 582, 200, 862 using LCM Formula

Given numbers are 708, 582, 200, 862

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

Apply this formula for all numbers.

Step1:

LCM(708, 582) = 68676

GCD(708, 582) = ( 708 x 582 ) / 68676

= 708 / 582

= 708


Step2:

LCM(6, 200) = 600

GCD(6, 200) = ( 6 x 200 ) / 600

= 6 / 200

= 6


Step3:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2


So, Greatest Common Divisor of 708, 582, 200, 862 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 582, 200, 862

Given numbers are 708, 582, 200, 862
The greatest common divisor of numbers 708, 582, 200, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 582, 200, 862 is 2.

FAQs on GCD of 708, 582, 200, 862 Calculator

1. What is the GCD of 708, 582, 200, 862?

GCD of given numbers 708, 582, 200, 862 is 2


2. How to calculate the greatest common divisor of 708, 582, 200, 862?

We can find the highest common divisor of 708, 582, 200, 862 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 708, 582, 200, 862 i.e 2.


3. How can I use the GCD of 708, 582, 200, 862Calculator?

Out the numbers 708, 582, 200, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.