LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 370, 886, 456 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, 886, 456 quickly. Get the easiest ways to solve the greatest common divisor of 370, 886, 456 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 886, 456 with Factoring?

Given Input numbers are 370, 886, 456

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 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456


GCD of numbers is the greatest common divisor

So, the GCD (370, 886, 456) = 2.

Find GCD of 370, 886, 456 using Prime Factorization

Given numbers are 370, 886, 456

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 886 are 2 x 443

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 370, 886, 456 is 2.

Steps to Calculate GCD of 370, 886, 456 using LCM Formula

Given numbers are 370, 886, 456

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

Apply this formula for all numbers.

Step1:

LCM(370, 886) = 163910

GCD(370, 886) = ( 370 x 886 ) / 163910

= 370 / 886

= 370


Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2


So, Greatest Common Divisor of 370, 886, 456 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 886, 456

Given numbers are 370, 886, 456
The greatest common divisor of numbers 370, 886, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 886, 456 is 2.

FAQs on GCD of 370, 886, 456 Calculator

1. What is the GCD of 370, 886, 456?

GCD of given numbers 370, 886, 456 is 2


2. How to calculate the greatest common divisor of 370, 886, 456?

We can find the highest common divisor of 370, 886, 456 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, 886, 456 i.e 2.


3. How can I use the GCD of 370, 886, 456Calculator?

Out the numbers 370, 886, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.