Greatest Common Factor of 7658/86, 4018/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7658/86, 4018/707

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 7658/86,4018/707

Given fractions are 7658/86,4018/707

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 7658,4018

Greatest Common Factor of Numerators i.e. GCF of 7658,4018 is 14 .

LCM of Denominators means LCM of 86,707 as per the given fractions.

LCM of 86,707 is 60802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7658,4018

GCF of Fractions 7658/86,4018/707 is 14/60802

2 7658, 4018
7 3829, 2009
547, 287

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 7658,4018 By Matching Biggest Common Factor Method

Greatest Common Factor of 7658,4018 By Matching Biggest Common Factor Method

Factors of 7658

List of positive integer factors of 7658 that divides 7658 without a remainder.

1,2,7,14,547,1094,3829,7658

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors 7658,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 7658,4018 is 14.

Lets's calculate LCM of 86,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 60802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/60802

Therefore, the GCF of Fractions 7658/86,4018/707 is 14/60802

Least Common Multiple of 86,707 with GCF Formula

Least Common Multiple of 86,707 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 86,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,707) = 1

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

GCF(86,707) x common factors =1 x 1 = 1

LCM(86,707) = ( 86 × 707 ) / 1

LCM(86,707) = 60802 / 1

LCM(86,707) = 60802


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 7658/86, 4018/707

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 7658/86, 4018/707?

Answer: GCF of Numerators as per given numbers 7658/86, 4018/707 is

GCF of Numerators i.e. for 7658,4018 is 14

LCM of denominators i.e. for 86,707 is 60802.

Thus, GCF of Fractions is 14/60802.Finally, GCF of Fractions for 7658/86, 4018/707 is 14/60802.