Greatest Common Factor of 5260/194, 7498/8026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5260/194, 7498/8026

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 5260/194,7498/8026

Given fractions are 5260/194,7498/8026

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 5260,7498

Greatest Common Factor of Numerators i.e. GCF of 5260,7498 is 2 .

LCM of Denominators means LCM of 194,8026 as per the given fractions.

LCM of 194,8026 is 778522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5260,7498

GCF of Fractions 5260/194,7498/8026 is 2/778522

2 5260, 7498
2630, 3749

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

Greatest Common Factor of 5260,7498 By Matching Biggest Common Factor Method

Greatest Common Factor of 5260,7498 By Matching Biggest Common Factor Method

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1,2,23,46,163,326,3749,7498

Greatest Common Factor

We found the factors 5260,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,7498 is 2.

Lets's calculate LCM of 194,8026

2 194, 8026
97, 4013

∴ So the LCM of the given numbers is 2 x 97 x 4013 = 778522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/778522

Therefore, the GCF of Fractions 5260/194,7498/8026 is 2/778522

Least Common Multiple of 194,8026 with GCF Formula

Least Common Multiple of 194,8026 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 194,8026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,8026) = 2

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

GCF(194,8026) x common factors =2 x 1 = 2

LCM(194,8026) = ( 194 × 8026 ) / 2

LCM(194,8026) = 1557044 / 2

LCM(194,8026) = 778522


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 5260/194, 7498/8026

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 5260/194, 7498/8026?

Answer: GCF of Numerators as per given numbers 5260/194, 7498/8026 is

GCF of Numerators i.e. for 5260,7498 is 2

LCM of denominators i.e. for 194,8026 is 778522.

Thus, GCF of Fractions is 2/778522.Finally, GCF of Fractions for 5260/194, 7498/8026 is 2/778522.