Greatest Common Factor of 7085/721, 6969/4060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7085/721, 6969/4060

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 7085/721,6969/4060

Given fractions are 7085/721,6969/4060

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 7085,6969

Greatest Common Factor of Numerators i.e. GCF of 7085,6969 is 1 .

LCM of Denominators means LCM of 721,4060 as per the given fractions.

LCM of 721,4060 is 418180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7085,6969

GCF of Fractions 7085/721,6969/4060 is 1/418180

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

Greatest Common Factor of 7085,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 7085,6969 By Matching Biggest Common Factor Method

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1,5,13,65,109,545,1417,7085

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 7085,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,6969 is 1.

Lets's calculate LCM of 721,4060

7 721, 4060
103, 580

∴ So the LCM of the given numbers is 7 x 103 x 580 = 418180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418180

Therefore, the GCF of Fractions 7085/721,6969/4060 is 1/418180

Least Common Multiple of 721,4060 with GCF Formula

Least Common Multiple of 721,4060 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 721,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,4060) = 7

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

GCF(721,4060) x common factors =7 x 1 = 7

LCM(721,4060) = ( 721 × 4060 ) / 7

LCM(721,4060) = 2927260 / 7

LCM(721,4060) = 418180


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 7085/721, 6969/4060

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 7085/721, 6969/4060?

Answer: GCF of Numerators as per given numbers 7085/721, 6969/4060 is

GCF of Numerators i.e. for 7085,6969 is 1

LCM of denominators i.e. for 721,4060 is 418180.

Thus, GCF of Fractions is 1/418180.Finally, GCF of Fractions for 7085/721, 6969/4060 is 1/418180.