Greatest Common Factor of 6296/49, 8464/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6296/49, 8464/698

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 6296/49,8464/698

Given fractions are 6296/49,8464/698

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 6296,8464

Greatest Common Factor of Numerators i.e. GCF of 6296,8464 is 8 .

LCM of Denominators means LCM of 49,698 as per the given fractions.

LCM of 49,698 is 34202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6296,8464

GCF of Fractions 6296/49,8464/698 is 8/34202

2 6296, 8464
2 3148, 4232
2 1574, 2116
787, 1058

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

Greatest Common Factor of 6296,8464 By Matching Biggest Common Factor Method

Greatest Common Factor of 6296,8464 By Matching Biggest Common Factor Method

Factors of 6296

List of positive integer factors of 6296 that divides 6296 without a remainder.

1,2,4,8,787,1574,3148,6296

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 6296,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 6296,8464 is 8.

Lets's calculate LCM of 49,698

Given numbers has no common factors except 1. So, there LCM is their product i.e 34202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/34202

Therefore, the GCF of Fractions 6296/49,8464/698 is 8/34202

Least Common Multiple of 49,698 with GCF Formula

Least Common Multiple of 49,698 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 49,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,698) = 1

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

GCF(49,698) x common factors =1 x 1 = 1

LCM(49,698) = ( 49 × 698 ) / 1

LCM(49,698) = 34202 / 1

LCM(49,698) = 34202


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 6296/49, 8464/698

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 6296/49, 8464/698?

Answer: GCF of Numerators as per given numbers 6296/49, 8464/698 is

GCF of Numerators i.e. for 6296,8464 is 8

LCM of denominators i.e. for 49,698 is 34202.

Thus, GCF of Fractions is 8/34202.Finally, GCF of Fractions for 6296/49, 8464/698 is 8/34202.