Greatest Common Factor of 9719/964, 1438/7842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9719/964, 1438/7842

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 9719/964,1438/7842

Given fractions are 9719/964,1438/7842

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 9719,1438

Greatest Common Factor of Numerators i.e. GCF of 9719,1438 is 1 .

LCM of Denominators means LCM of 964,7842 as per the given fractions.

LCM of 964,7842 is 3779844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9719,1438

GCF of Fractions 9719/964,1438/7842 is 1/3779844

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

Greatest Common Factor of 9719,1438 By Matching Biggest Common Factor Method

Greatest Common Factor of 9719,1438 By Matching Biggest Common Factor Method

Factors of 9719

List of positive integer factors of 9719 that divides 9719 without a remainder.

1,9719

Factors of 1438

List of positive integer factors of 1438 that divides 1438 without a remainder.

1,2,719,1438

Greatest Common Factor

We found the factors 9719,1438 . The biggest common factor number is the GCF number.
So the greatest common factor 9719,1438 is 1.

Lets's calculate LCM of 964,7842

2 964, 7842
482, 3921

∴ So the LCM of the given numbers is 2 x 482 x 3921 = 3779844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3779844

Therefore, the GCF of Fractions 9719/964,1438/7842 is 1/3779844

Least Common Multiple of 964,7842 with GCF Formula

Least Common Multiple of 964,7842 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 964,7842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,7842) = 2

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

GCF(964,7842) x common factors =2 x 1 = 2

LCM(964,7842) = ( 964 × 7842 ) / 2

LCM(964,7842) = 7559688 / 2

LCM(964,7842) = 3779844


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 9719/964, 1438/7842

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 9719/964, 1438/7842?

Answer: GCF of Numerators as per given numbers 9719/964, 1438/7842 is

GCF of Numerators i.e. for 9719,1438 is 1

LCM of denominators i.e. for 964,7842 is 3779844.

Thus, GCF of Fractions is 1/3779844.Finally, GCF of Fractions for 9719/964, 1438/7842 is 1/3779844.