Greatest Common Factor of 1432/815, 4296/9979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1432/815, 4296/9979

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 1432/815,4296/9979

Given fractions are 1432/815,4296/9979

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 1432,4296

Greatest Common Factor of Numerators i.e. GCF of 1432,4296 is 1432 .

LCM of Denominators means LCM of 815,9979 as per the given fractions.

LCM of 815,9979 is 8132885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1432,4296

GCF of Fractions 1432/815,4296/9979 is 1432/8132885

2 1432, 4296
2 716, 2148
2 358, 1074
179 179, 537
1, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 179 = 1432

Greatest Common Factor of 1432,4296 By Matching Biggest Common Factor Method

Greatest Common Factor of 1432,4296 By Matching Biggest Common Factor Method

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

Factors of 4296

List of positive integer factors of 4296 that divides 4296 without a remainder.

1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296

Greatest Common Factor

We found the factors 1432,4296 . The biggest common factor number is the GCF number.
So the greatest common factor 1432,4296 is 1432.

Lets's calculate LCM of 815,9979

Given numbers has no common factors except 1. So, there LCM is their product i.e 8132885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1432/8132885

Therefore, the GCF of Fractions 1432/815,4296/9979 is 1432/8132885

Least Common Multiple of 815,9979 with GCF Formula

Least Common Multiple of 815,9979 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 815,9979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,9979) = 1

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

GCF(815,9979) x common factors =1 x 1 = 1

LCM(815,9979) = ( 815 × 9979 ) / 1

LCM(815,9979) = 8132885 / 1

LCM(815,9979) = 8132885


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 1432/815, 4296/9979

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 1432/815, 4296/9979?

Answer: GCF of Numerators as per given numbers 1432/815, 4296/9979 is

GCF of Numerators i.e. for 1432,4296 is 1432

LCM of denominators i.e. for 815,9979 is 8132885.

Thus, GCF of Fractions is 1432/8132885.Finally, GCF of Fractions for 1432/815, 4296/9979 is 1432/8132885.