Greatest Common Factor of 7048/293, 6680/6953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7048/293, 6680/6953

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 7048/293,6680/6953

Given fractions are 7048/293,6680/6953

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 7048,6680

Greatest Common Factor of Numerators i.e. GCF of 7048,6680 is 8 .

LCM of Denominators means LCM of 293,6953 as per the given fractions.

LCM of 293,6953 is 2037229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7048,6680

GCF of Fractions 7048/293,6680/6953 is 8/2037229

2 7048, 6680
2 3524, 3340
2 1762, 1670
881, 835

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7048,6680 By Matching Biggest Common Factor Method

Greatest Common Factor of 7048,6680 By Matching Biggest Common Factor Method

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1,2,4,8,881,1762,3524,7048

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680

Greatest Common Factor

We found the factors 7048,6680 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,6680 is 8.

Lets's calculate LCM of 293,6953

Given numbers has no common factors except 1. So, there LCM is their product i.e 2037229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2037229

Therefore, the GCF of Fractions 7048/293,6680/6953 is 8/2037229

Least Common Multiple of 293,6953 with GCF Formula

Least Common Multiple of 293,6953 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 293,6953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,6953) = 1

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

GCF(293,6953) x common factors =1 x 1 = 1

LCM(293,6953) = ( 293 × 6953 ) / 1

LCM(293,6953) = 2037229 / 1

LCM(293,6953) = 2037229


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 7048/293, 6680/6953

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 7048/293, 6680/6953?

Answer: GCF of Numerators as per given numbers 7048/293, 6680/6953 is

GCF of Numerators i.e. for 7048,6680 is 8

LCM of denominators i.e. for 293,6953 is 2037229.

Thus, GCF of Fractions is 8/2037229.Finally, GCF of Fractions for 7048/293, 6680/6953 is 8/2037229.