Greatest Common Factor of 310/844, 380/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/844, 380/919

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 310/844,380/919

Given fractions are 310/844,380/919

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 310,380

Greatest Common Factor of Numerators i.e. GCF of 310,380 is 10 .

LCM of Denominators means LCM of 844,919 as per the given fractions.

LCM of 844,919 is 775636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,380

GCF of Fractions 310/844,380/919 is 10/775636

2 310, 380
5 155, 190
31, 38

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 310,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,380 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 310,380 . The biggest common factor number is the GCF number.
So the greatest common factor 310,380 is 10.

Lets's calculate LCM of 844,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 775636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/775636

Therefore, the GCF of Fractions 310/844,380/919 is 10/775636

Least Common Multiple of 844,919 with GCF Formula

Least Common Multiple of 844,919 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 844,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,919) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(844,919) x common factors =1 x 1 = 1

LCM(844,919) = ( 844 × 919 ) / 1

LCM(844,919) = 775636 / 1

LCM(844,919) = 775636


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 310/844, 380/919

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 310/844, 380/919?

Answer: GCF of Numerators as per given numbers 310/844, 380/919 is

GCF of Numerators i.e. for 310,380 is 10

LCM of denominators i.e. for 844,919 is 775636.

Thus, GCF of Fractions is 10/775636.Finally, GCF of Fractions for 310/844, 380/919 is 10/775636.