Greatest Common Factor of 6966/30, 7138/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6966/30, 7138/466

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 6966/30,7138/466

Given fractions are 6966/30,7138/466

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 6966,7138

Greatest Common Factor of Numerators i.e. GCF of 6966,7138 is 86 .

LCM of Denominators means LCM of 30,466 as per the given fractions.

LCM of 30,466 is 6990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6966,7138

GCF of Fractions 6966/30,7138/466 is 86/6990

2 6966, 7138
43 3483, 3569
81, 83

∴ So the GCF of the given numbers is 2 x 43 = 86

Greatest Common Factor of 6966,7138 By Matching Biggest Common Factor Method

Greatest Common Factor of 6966,7138 By Matching Biggest Common Factor Method

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Greatest Common Factor

We found the factors 6966,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 6966,7138 is 86.

Lets's calculate LCM of 30,466

2 30, 466
15, 233

∴ So the LCM of the given numbers is 2 x 15 x 233 = 6990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 86/6990

Therefore, the GCF of Fractions 6966/30,7138/466 is 86/6990

Least Common Multiple of 30,466 with GCF Formula

Least Common Multiple of 30,466 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 30,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,466) = 2

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

GCF(30,466) x common factors =2 x 1 = 2

LCM(30,466) = ( 30 × 466 ) / 2

LCM(30,466) = 13980 / 2

LCM(30,466) = 6990


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 6966/30, 7138/466

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 6966/30, 7138/466?

Answer: GCF of Numerators as per given numbers 6966/30, 7138/466 is

GCF of Numerators i.e. for 6966,7138 is 86

LCM of denominators i.e. for 30,466 is 6990.

Thus, GCF of Fractions is 86/6990.Finally, GCF of Fractions for 6966/30, 7138/466 is 86/6990.