Greatest Common Factor of 7973/14, 9415/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7973/14, 9415/692

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 7973/14,9415/692

Given fractions are 7973/14,9415/692

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 7973,9415

Greatest Common Factor of Numerators i.e. GCF of 7973,9415 is 7 .

LCM of Denominators means LCM of 14,692 as per the given fractions.

LCM of 14,692 is 4844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7973,9415

GCF of Fractions 7973/14,9415/692 is 7/4844

7 7973, 9415
1139, 1345

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7973,9415 By Matching Biggest Common Factor Method

Greatest Common Factor of 7973,9415 By Matching Biggest Common Factor Method

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Factors of 9415

List of positive integer factors of 9415 that divides 9415 without a remainder.

1,5,7,35,269,1345,1883,9415

Greatest Common Factor

We found the factors 7973,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,9415 is 7.

Lets's calculate LCM of 14,692

2 14, 692
7, 346

∴ So the LCM of the given numbers is 2 x 7 x 346 = 4844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4844

Therefore, the GCF of Fractions 7973/14,9415/692 is 7/4844

Least Common Multiple of 14,692 with GCF Formula

Least Common Multiple of 14,692 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 14,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,692) = 2

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

GCF(14,692) x common factors =2 x 1 = 2

LCM(14,692) = ( 14 × 692 ) / 2

LCM(14,692) = 9688 / 2

LCM(14,692) = 4844


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 7973/14, 9415/692

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 7973/14, 9415/692?

Answer: GCF of Numerators as per given numbers 7973/14, 9415/692 is

GCF of Numerators i.e. for 7973,9415 is 7

LCM of denominators i.e. for 14,692 is 4844.

Thus, GCF of Fractions is 7/4844.Finally, GCF of Fractions for 7973/14, 9415/692 is 7/4844.