Greatest Common Factor of 5146/69, 6308/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5146/69, 6308/302

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 5146/69,6308/302

Given fractions are 5146/69,6308/302

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 5146,6308

Greatest Common Factor of Numerators i.e. GCF of 5146,6308 is 166 .

LCM of Denominators means LCM of 69,302 as per the given fractions.

LCM of 69,302 is 20838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5146,6308

GCF of Fractions 5146/69,6308/302 is 166/20838

2 5146, 6308
83 2573, 3154
31, 38

∴ So the GCF of the given numbers is 2 x 83 = 166

Greatest Common Factor of 5146,6308 By Matching Biggest Common Factor Method

Greatest Common Factor of 5146,6308 By Matching Biggest Common Factor Method

Factors of 5146

List of positive integer factors of 5146 that divides 5146 without a remainder.

1,2,31,62,83,166,2573,5146

Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1,2,4,19,38,76,83,166,332,1577,3154,6308

Greatest Common Factor

We found the factors 5146,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 5146,6308 is 166.

Lets's calculate LCM of 69,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 20838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 166/20838

Therefore, the GCF of Fractions 5146/69,6308/302 is 166/20838

Least Common Multiple of 69,302 with GCF Formula

Least Common Multiple of 69,302 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 69,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,302) = 1

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

GCF(69,302) x common factors =1 x 1 = 1

LCM(69,302) = ( 69 × 302 ) / 1

LCM(69,302) = 20838 / 1

LCM(69,302) = 20838


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 5146/69, 6308/302

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 5146/69, 6308/302?

Answer: GCF of Numerators as per given numbers 5146/69, 6308/302 is

GCF of Numerators i.e. for 5146,6308 is 166

LCM of denominators i.e. for 69,302 is 20838.

Thus, GCF of Fractions is 166/20838.Finally, GCF of Fractions for 5146/69, 6308/302 is 166/20838.