Greatest Common Factor of 4207/112, 4640/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4207/112, 4640/686

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 4207/112,4640/686

Given fractions are 4207/112,4640/686

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 4207,4640

Greatest Common Factor of Numerators i.e. GCF of 4207,4640 is 1 .

LCM of Denominators means LCM of 112,686 as per the given fractions.

LCM of 112,686 is 5488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4207,4640

GCF of Fractions 4207/112,4640/686 is 1/5488

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

Greatest Common Factor of 4207,4640 By Matching Biggest Common Factor Method

Greatest Common Factor of 4207,4640 By Matching Biggest Common Factor Method

Factors of 4207

List of positive integer factors of 4207 that divides 4207 without a remainder.

1,7,601,4207

Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640

Greatest Common Factor

We found the factors 4207,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 4207,4640 is 1.

Lets's calculate LCM of 112,686

2 112, 686
7 56, 343
8, 49

∴ So the LCM of the given numbers is 2 x 7 x 8 x 49 = 5488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5488

Therefore, the GCF of Fractions 4207/112,4640/686 is 1/5488

Least Common Multiple of 112,686 with GCF Formula

Least Common Multiple of 112,686 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 112,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,686) = 14

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

GCF(112,686) x common factors =14 x 1 = 14

LCM(112,686) = ( 112 × 686 ) / 14

LCM(112,686) = 76832 / 14

LCM(112,686) = 5488


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 4207/112, 4640/686

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 4207/112, 4640/686?

Answer: GCF of Numerators as per given numbers 4207/112, 4640/686 is

GCF of Numerators i.e. for 4207,4640 is 1

LCM of denominators i.e. for 112,686 is 5488.

Thus, GCF of Fractions is 1/5488.Finally, GCF of Fractions for 4207/112, 4640/686 is 1/5488.