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GCD of 370, 878, 224, 424 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 878, 224, 424 quickly. Get the easiest ways to solve the greatest common divisor of 370, 878, 224, 424 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 878, 224, 424 with Factoring?

Given Input numbers are 370, 878, 224, 424

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424


GCD of numbers is the greatest common divisor

So, the GCD (370, 878, 224, 424) = 2.

Find GCD of 370, 878, 224, 424 using Prime Factorization

Given numbers are 370, 878, 224, 424

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 878 are 2 x 439

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 21

Therefore, GCD of 370, 878, 224, 424 is 2.

Steps to Calculate GCD of 370, 878, 224, 424 using LCM Formula

Given numbers are 370, 878, 224, 424

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

Apply this formula for all numbers.

Step1:

LCM(370, 878) = 162430

GCD(370, 878) = ( 370 x 878 ) / 162430

= 370 / 878

= 370


Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2


Step3:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2


So, Greatest Common Divisor of 370, 878, 224, 424 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 878, 224, 424

Given numbers are 370, 878, 224, 424
The greatest common divisor of numbers 370, 878, 224, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 878, 224, 424 is 2.

FAQs on GCD of 370, 878, 224, 424 Calculator

1. What is the GCD of 370, 878, 224, 424?

GCD of given numbers 370, 878, 224, 424 is 2


2. How to calculate the greatest common divisor of 370, 878, 224, 424?

We can find the highest common divisor of 370, 878, 224, 424 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 370, 878, 224, 424 i.e 2.


3. How can I use the GCD of 370, 878, 224, 424Calculator?

Out the numbers 370, 878, 224, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.