Greatest Common Factor of 7001/11, 3978/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7001/11, 3978/530

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 7001/11,3978/530

Given fractions are 7001/11,3978/530

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 7001,3978

Greatest Common Factor of Numerators i.e. GCF of 7001,3978 is 1 .

LCM of Denominators means LCM of 11,530 as per the given fractions.

LCM of 11,530 is 5830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7001,3978

GCF of Fractions 7001/11,3978/530 is 1/5830

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

Greatest Common Factor of 7001,3978 By Matching Biggest Common Factor Method

Greatest Common Factor of 7001,3978 By Matching Biggest Common Factor Method

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1,7001

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Greatest Common Factor

We found the factors 7001,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 7001,3978 is 1.

Lets's calculate LCM of 11,530

Given numbers has no common factors except 1. So, there LCM is their product i.e 5830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5830

Therefore, the GCF of Fractions 7001/11,3978/530 is 1/5830

Least Common Multiple of 11,530 with GCF Formula

Least Common Multiple of 11,530 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 11,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,530) = 1

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

GCF(11,530) x common factors =1 x 1 = 1

LCM(11,530) = ( 11 × 530 ) / 1

LCM(11,530) = 5830 / 1

LCM(11,530) = 5830


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 7001/11, 3978/530

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 7001/11, 3978/530?

Answer: GCF of Numerators as per given numbers 7001/11, 3978/530 is

GCF of Numerators i.e. for 7001,3978 is 1

LCM of denominators i.e. for 11,530 is 5830.

Thus, GCF of Fractions is 1/5830.Finally, GCF of Fractions for 7001/11, 3978/530 is 1/5830.