Greatest Common Factor of 7838/197, 1003/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7838/197, 1003/132

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 7838/197,1003/132

Given fractions are 7838/197,1003/132

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 7838,1003

Greatest Common Factor of Numerators i.e. GCF of 7838,1003 is 1 .

LCM of Denominators means LCM of 197,132 as per the given fractions.

LCM of 197,132 is 26004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7838,1003

GCF of Fractions 7838/197,1003/132 is 1/26004

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

Greatest Common Factor of 7838,1003 By Matching Biggest Common Factor Method

Greatest Common Factor of 7838,1003 By Matching Biggest Common Factor Method

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1,2,3919,7838

Factors of 1003

List of positive integer factors of 1003 that divides 1003 without a remainder.

1,17,59,1003

Greatest Common Factor

We found the factors 7838,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 7838,1003 is 1.

Lets's calculate LCM of 197,132

Given numbers has no common factors except 1. So, there LCM is their product i.e 26004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26004

Therefore, the GCF of Fractions 7838/197,1003/132 is 1/26004

Least Common Multiple of 197,132 with GCF Formula

Least Common Multiple of 197,132 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 197,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,132) = 1

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

GCF(197,132) x common factors =1 x 1 = 1

LCM(197,132) = ( 197 × 132 ) / 1

LCM(197,132) = 26004 / 1

LCM(197,132) = 26004


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 7838/197, 1003/132

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 7838/197, 1003/132?

Answer: GCF of Numerators as per given numbers 7838/197, 1003/132 is

GCF of Numerators i.e. for 7838,1003 is 1

LCM of denominators i.e. for 197,132 is 26004.

Thus, GCF of Fractions is 1/26004.Finally, GCF of Fractions for 7838/197, 1003/132 is 1/26004.