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GCD of 632, 336, 862, 300 Calculator

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


Online GCD Calculator is useful to find the GCD of 632, 336, 862, 300 quickly. Get the easiest ways to solve the greatest common divisor of 632, 336, 862, 300 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 632, 336, 862, 300 with Factoring?

Given Input numbers are 632, 336, 862, 300

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

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 862 :

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

1, 2, 431, 862

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300


GCD of numbers is the greatest common divisor

So, the GCD (632, 336, 862, 300) = 2.

Find GCD of 632, 336, 862, 300 using Prime Factorization

Given numbers are 632, 336, 862, 300

The list of prime factors of all numbers are

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 862 are 2 x 431

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 632, 336, 862, 300 is 2.

Steps to Calculate GCD of 632, 336, 862, 300 using LCM Formula

Given numbers are 632, 336, 862, 300

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

Apply this formula for all numbers.

Step1:

LCM(632, 336) = 26544

GCD(632, 336) = ( 632 x 336 ) / 26544

= 632 / 336

= 632


Step2:

LCM(8, 862) = 3448

GCD(8, 862) = ( 8 x 862 ) / 3448

= 8 / 862

= 8


Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2


So, Greatest Common Divisor of 632, 336, 862, 300 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 632, 336, 862, 300

Given numbers are 632, 336, 862, 300
The greatest common divisor of numbers 632, 336, 862, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 336, 862, 300 is 2.

FAQs on GCD of 632, 336, 862, 300 Calculator

1. What is the GCD of 632, 336, 862, 300?

GCD of given numbers 632, 336, 862, 300 is 2


2. How to calculate the greatest common divisor of 632, 336, 862, 300?

We can find the highest common divisor of 632, 336, 862, 300 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 632, 336, 862, 300 i.e 2.


3. How can I use the GCD of 632, 336, 862, 300Calculator?

Out the numbers 632, 336, 862, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.