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GCD of 660, 200, 964, 254 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 200, 964, 254 quickly. Get the easiest ways to solve the greatest common divisor of 660, 200, 964, 254 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 200, 964, 254 with Factoring?

Given Input numbers are 660, 200, 964, 254

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254


GCD of numbers is the greatest common divisor

So, the GCD (660, 200, 964, 254) = 2.

Find GCD of 660, 200, 964, 254 using Prime Factorization

Given numbers are 660, 200, 964, 254

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 964 are 2 x 2 x 241

Prime factors of 254 are 2 x 127

The highest common occurrence is 21

Therefore, GCD of 660, 200, 964, 254 is 2.

Steps to Calculate GCD of 660, 200, 964, 254 using LCM Formula

Given numbers are 660, 200, 964, 254

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

Apply this formula for all numbers.

Step1:

LCM(660, 200) = 6600

GCD(660, 200) = ( 660 x 200 ) / 6600

= 660 / 200

= 660


Step2:

LCM(20, 964) = 4820

GCD(20, 964) = ( 20 x 964 ) / 4820

= 20 / 964

= 20


Step3:

LCM(4, 254) = 508

GCD(4, 254) = ( 4 x 254 ) / 508

= 4 / 254

= 4


So, Greatest Common Divisor of 660, 200, 964, 254 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 200, 964, 254

Given numbers are 660, 200, 964, 254
The greatest common divisor of numbers 660, 200, 964, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 200, 964, 254 is 2.

FAQs on GCD of 660, 200, 964, 254 Calculator

1. What is the GCD of 660, 200, 964, 254?

GCD of given numbers 660, 200, 964, 254 is 2


2. How to calculate the greatest common divisor of 660, 200, 964, 254?

We can find the highest common divisor of 660, 200, 964, 254 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 660, 200, 964, 254 i.e 2.


3. How can I use the GCD of 660, 200, 964, 254Calculator?

Out the numbers 660, 200, 964, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.