Greatest Common Factor of 6956/246, 2229/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6956/246, 2229/174

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 6956/246,2229/174

Given fractions are 6956/246,2229/174

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 6956,2229

Greatest Common Factor of Numerators i.e. GCF of 6956,2229 is 1 .

LCM of Denominators means LCM of 246,174 as per the given fractions.

LCM of 246,174 is 7134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6956,2229

GCF of Fractions 6956/246,2229/174 is 1/7134

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6956,2229 By Matching Biggest Common Factor Method

Greatest Common Factor of 6956,2229 By Matching Biggest Common Factor Method

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1,2,4,37,47,74,94,148,188,1739,3478,6956

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1,3,743,2229

Greatest Common Factor

We found the factors 6956,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 6956,2229 is 1.

Lets's calculate LCM of 246,174

2 246, 174
3 123, 87
41, 29

∴ So the LCM of the given numbers is 2 x 3 x 41 x 29 = 7134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7134

Therefore, the GCF of Fractions 6956/246,2229/174 is 1/7134

Least Common Multiple of 246,174 with GCF Formula

Least Common Multiple of 246,174 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 246,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,174) = 6

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

GCF(246,174) x common factors =6 x 1 = 6

LCM(246,174) = ( 246 × 174 ) / 6

LCM(246,174) = 42804 / 6

LCM(246,174) = 7134


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 6956/246, 2229/174

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 6956/246, 2229/174?

Answer: GCF of Numerators as per given numbers 6956/246, 2229/174 is

GCF of Numerators i.e. for 6956,2229 is 1

LCM of denominators i.e. for 246,174 is 7134.

Thus, GCF of Fractions is 1/7134.Finally, GCF of Fractions for 6956/246, 2229/174 is 1/7134.