Greatest Common Factor of 4119/771, 9019/7967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4119/771, 9019/7967

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 4119/771,9019/7967

Given fractions are 4119/771,9019/7967

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 4119,9019

Greatest Common Factor of Numerators i.e. GCF of 4119,9019 is 1 .

LCM of Denominators means LCM of 771,7967 as per the given fractions.

LCM of 771,7967 is 23901 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4119,9019

GCF of Fractions 4119/771,9019/7967 is 1/23901

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4119,9019 By Matching Biggest Common Factor Method

Greatest Common Factor of 4119,9019 By Matching Biggest Common Factor Method

Factors of 4119

List of positive integer factors of 4119 that divides 4119 without a remainder.

1,3,1373,4119

Factors of 9019

List of positive integer factors of 9019 that divides 9019 without a remainder.

1,29,311,9019

Greatest Common Factor

We found the factors 4119,9019 . The biggest common factor number is the GCF number.
So the greatest common factor 4119,9019 is 1.

Lets's calculate LCM of 771,7967

257 771, 7967
3, 31

∴ So the LCM of the given numbers is 257 x 3 x 31 = 23901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23901

Therefore, the GCF of Fractions 4119/771,9019/7967 is 1/23901

Least Common Multiple of 771,7967 with GCF Formula

Least Common Multiple of 771,7967 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 771,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,7967) = 257

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

GCF(771,7967) x common factors =257 x 1 = 257

LCM(771,7967) = ( 771 × 7967 ) / 257

LCM(771,7967) = 6142557 / 257

LCM(771,7967) = 23901


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 4119/771, 9019/7967

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 4119/771, 9019/7967?

Answer: GCF of Numerators as per given numbers 4119/771, 9019/7967 is

GCF of Numerators i.e. for 4119,9019 is 1

LCM of denominators i.e. for 771,7967 is 23901.

Thus, GCF of Fractions is 1/23901.Finally, GCF of Fractions for 4119/771, 9019/7967 is 1/23901.