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GCD of 748, 894, 444, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 894, 444, 420 quickly. Get the easiest ways to solve the greatest common divisor of 748, 894, 444, 420 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 894, 444, 420 with Factoring?

Given Input numbers are 748, 894, 444, 420

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (748, 894, 444, 420) = 2.

Find GCD of 748, 894, 444, 420 using Prime Factorization

Given numbers are 748, 894, 444, 420

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 894 are 2 x 3 x 149

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 748, 894, 444, 420 is 2.

Steps to Calculate GCD of 748, 894, 444, 420 using LCM Formula

Given numbers are 748, 894, 444, 420

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

Apply this formula for all numbers.

Step1:

LCM(748, 894) = 334356

GCD(748, 894) = ( 748 x 894 ) / 334356

= 748 / 894

= 748


Step2:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2


Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2


So, Greatest Common Divisor of 748, 894, 444, 420 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 894, 444, 420

Given numbers are 748, 894, 444, 420
The greatest common divisor of numbers 748, 894, 444, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 894, 444, 420 is 2.

FAQs on GCD of 748, 894, 444, 420 Calculator

1. What is the GCD of 748, 894, 444, 420?

GCD of given numbers 748, 894, 444, 420 is 2


2. How to calculate the greatest common divisor of 748, 894, 444, 420?

We can find the highest common divisor of 748, 894, 444, 420 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 748, 894, 444, 420 i.e 2.


3. How can I use the GCD of 748, 894, 444, 420Calculator?

Out the numbers 748, 894, 444, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.