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GCD of 200, 760, 648, 588 Calculator

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


Online GCD Calculator is useful to find the GCD of 200, 760, 648, 588 quickly. Get the easiest ways to solve the greatest common divisor of 200, 760, 648, 588 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 760, 648, 588 with Factoring?

Given Input numbers are 200, 760, 648, 588

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

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588


GCD of numbers is the greatest common divisor

So, the GCD (200, 760, 648, 588) = 4.

Find GCD of 200, 760, 648, 588 using Prime Factorization

Given numbers are 200, 760, 648, 588

The list of prime factors of all numbers are

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

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 22

Therefore, GCD of 200, 760, 648, 588 is 4.

Steps to Calculate GCD of 200, 760, 648, 588 using LCM Formula

Given numbers are 200, 760, 648, 588

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

Apply this formula for all numbers.

Step1:

LCM(200, 760) = 3800

GCD(200, 760) = ( 200 x 760 ) / 3800

= 200 / 760

= 200


Step2:

LCM(40, 648) = 3240

GCD(40, 648) = ( 40 x 648 ) / 3240

= 40 / 648

= 40


Step3:

LCM(8, 588) = 1176

GCD(8, 588) = ( 8 x 588 ) / 1176

= 8 / 588

= 8


So, Greatest Common Divisor of 200, 760, 648, 588 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 760, 648, 588

Given numbers are 200, 760, 648, 588
The greatest common divisor of numbers 200, 760, 648, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 760, 648, 588 is 4.

FAQs on GCD of 200, 760, 648, 588 Calculator

1. What is the GCD of 200, 760, 648, 588?

GCD of given numbers 200, 760, 648, 588 is 4


2. How to calculate the greatest common divisor of 200, 760, 648, 588?

We can find the highest common divisor of 200, 760, 648, 588 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 200, 760, 648, 588 i.e 4.


3. How can I use the GCD of 200, 760, 648, 588Calculator?

Out the numbers 200, 760, 648, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.