Greatest Common Factor of 6146/986, 2206/1231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6146/986, 2206/1231

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 6146/986,2206/1231

Given fractions are 6146/986,2206/1231

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 6146,2206

Greatest Common Factor of Numerators i.e. GCF of 6146,2206 is 2 .

LCM of Denominators means LCM of 986,1231 as per the given fractions.

LCM of 986,1231 is 1213766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6146,2206

GCF of Fractions 6146/986,2206/1231 is 2/1213766

2 6146, 2206
3073, 1103

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

Greatest Common Factor of 6146,2206 By Matching Biggest Common Factor Method

Greatest Common Factor of 6146,2206 By Matching Biggest Common Factor Method

Factors of 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1,2,7,14,439,878,3073,6146

Factors of 2206

List of positive integer factors of 2206 that divides 2206 without a remainder.

1,2,1103,2206

Greatest Common Factor

We found the factors 6146,2206 . The biggest common factor number is the GCF number.
So the greatest common factor 6146,2206 is 2.

Lets's calculate LCM of 986,1231

Given numbers has no common factors except 1. So, there LCM is their product i.e 1213766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1213766

Therefore, the GCF of Fractions 6146/986,2206/1231 is 2/1213766

Least Common Multiple of 986,1231 with GCF Formula

Least Common Multiple of 986,1231 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 986,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,1231) = 1

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

GCF(986,1231) x common factors =1 x 1 = 1

LCM(986,1231) = ( 986 × 1231 ) / 1

LCM(986,1231) = 1213766 / 1

LCM(986,1231) = 1213766


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 6146/986, 2206/1231

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 6146/986, 2206/1231?

Answer: GCF of Numerators as per given numbers 6146/986, 2206/1231 is

GCF of Numerators i.e. for 6146,2206 is 2

LCM of denominators i.e. for 986,1231 is 1213766.

Thus, GCF of Fractions is 2/1213766.Finally, GCF of Fractions for 6146/986, 2206/1231 is 2/1213766.