Greatest Common Factor of 247/913, 3114/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/913, 3114/830

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 247/913,3114/830

Given fractions are 247/913,3114/830

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 247,3114

Greatest Common Factor of Numerators i.e. GCF of 247,3114 is 1 .

LCM of Denominators means LCM of 913,830 as per the given fractions.

LCM of 913,830 is 9130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,3114

GCF of Fractions 247/913,3114/830 is 1/9130

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

Greatest Common Factor of 247,3114 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,3114 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Greatest Common Factor

We found the factors 247,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 247,3114 is 1.

Lets's calculate LCM of 913,830

83 913, 830
11, 10

∴ So the LCM of the given numbers is 83 x 11 x 10 = 9130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9130

Therefore, the GCF of Fractions 247/913,3114/830 is 1/9130

Least Common Multiple of 913,830 with GCF Formula

Least Common Multiple of 913,830 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 913,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,830) = 83

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

GCF(913,830) x common factors =83 x 1 = 83

LCM(913,830) = ( 913 × 830 ) / 83

LCM(913,830) = 757790 / 83

LCM(913,830) = 9130


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 247/913, 3114/830

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 247/913, 3114/830?

Answer: GCF of Numerators as per given numbers 247/913, 3114/830 is

GCF of Numerators i.e. for 247,3114 is 1

LCM of denominators i.e. for 913,830 is 9130.

Thus, GCF of Fractions is 1/9130.Finally, GCF of Fractions for 247/913, 3114/830 is 1/9130.