Greatest Common Factor of 916/380, 2720/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/380, 2720/793

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 916/380,2720/793

Given fractions are 916/380,2720/793

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 916,2720

Greatest Common Factor of Numerators i.e. GCF of 916,2720 is 4 .

LCM of Denominators means LCM of 380,793 as per the given fractions.

LCM of 380,793 is 301340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,2720

GCF of Fractions 916/380,2720/793 is 4/301340

2 916, 2720
2 458, 1360
229, 680

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 916,2720 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,2720 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Greatest Common Factor

We found the factors 916,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 916,2720 is 4.

Lets's calculate LCM of 380,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 301340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/301340

Therefore, the GCF of Fractions 916/380,2720/793 is 4/301340

Least Common Multiple of 380,793 with GCF Formula

Least Common Multiple of 380,793 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 380,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,793) = 1

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

GCF(380,793) x common factors =1 x 1 = 1

LCM(380,793) = ( 380 × 793 ) / 1

LCM(380,793) = 301340 / 1

LCM(380,793) = 301340


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 916/380, 2720/793

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 916/380, 2720/793?

Answer: GCF of Numerators as per given numbers 916/380, 2720/793 is

GCF of Numerators i.e. for 916,2720 is 4

LCM of denominators i.e. for 380,793 is 301340.

Thus, GCF of Fractions is 4/301340.Finally, GCF of Fractions for 916/380, 2720/793 is 4/301340.