Greatest Common Factor of 6269/118, 2077/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6269/118, 2077/286

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 6269/118,2077/286

Given fractions are 6269/118,2077/286

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 6269,2077

Greatest Common Factor of Numerators i.e. GCF of 6269,2077 is 1 .

LCM of Denominators means LCM of 118,286 as per the given fractions.

LCM of 118,286 is 16874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6269,2077

GCF of Fractions 6269/118,2077/286 is 1/16874

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

Greatest Common Factor of 6269,2077 By Matching Biggest Common Factor Method

Greatest Common Factor of 6269,2077 By Matching Biggest Common Factor Method

Factors of 6269

List of positive integer factors of 6269 that divides 6269 without a remainder.

1,6269

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1,31,67,2077

Greatest Common Factor

We found the factors 6269,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 6269,2077 is 1.

Lets's calculate LCM of 118,286

2 118, 286
59, 143

∴ So the LCM of the given numbers is 2 x 59 x 143 = 16874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16874

Therefore, the GCF of Fractions 6269/118,2077/286 is 1/16874

Least Common Multiple of 118,286 with GCF Formula

Least Common Multiple of 118,286 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 118,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,286) = 2

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

GCF(118,286) x common factors =2 x 1 = 2

LCM(118,286) = ( 118 × 286 ) / 2

LCM(118,286) = 33748 / 2

LCM(118,286) = 16874


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 6269/118, 2077/286

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 6269/118, 2077/286?

Answer: GCF of Numerators as per given numbers 6269/118, 2077/286 is

GCF of Numerators i.e. for 6269,2077 is 1

LCM of denominators i.e. for 118,286 is 16874.

Thus, GCF of Fractions is 1/16874.Finally, GCF of Fractions for 6269/118, 2077/286 is 1/16874.