Greatest Common Factor of 8312/231, 6870/4618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8312/231, 6870/4618

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 8312/231,6870/4618

Given fractions are 8312/231,6870/4618

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 8312,6870

Greatest Common Factor of Numerators i.e. GCF of 8312,6870 is 2 .

LCM of Denominators means LCM of 231,4618 as per the given fractions.

LCM of 231,4618 is 1066758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8312,6870

GCF of Fractions 8312/231,6870/4618 is 2/1066758

2 8312, 6870
4156, 3435

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

Greatest Common Factor of 8312,6870 By Matching Biggest Common Factor Method

Greatest Common Factor of 8312,6870 By Matching Biggest Common Factor Method

Factors of 8312

List of positive integer factors of 8312 that divides 8312 without a remainder.

1,2,4,8,1039,2078,4156,8312

Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870

Greatest Common Factor

We found the factors 8312,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 8312,6870 is 2.

Lets's calculate LCM of 231,4618

Given numbers has no common factors except 1. So, there LCM is their product i.e 1066758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1066758

Therefore, the GCF of Fractions 8312/231,6870/4618 is 2/1066758

Least Common Multiple of 231,4618 with GCF Formula

Least Common Multiple of 231,4618 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 231,4618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,4618) = 1

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

GCF(231,4618) x common factors =1 x 1 = 1

LCM(231,4618) = ( 231 × 4618 ) / 1

LCM(231,4618) = 1066758 / 1

LCM(231,4618) = 1066758


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 8312/231, 6870/4618

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 8312/231, 6870/4618?

Answer: GCF of Numerators as per given numbers 8312/231, 6870/4618 is

GCF of Numerators i.e. for 8312,6870 is 2

LCM of denominators i.e. for 231,4618 is 1066758.

Thus, GCF of Fractions is 2/1066758.Finally, GCF of Fractions for 8312/231, 6870/4618 is 2/1066758.