Greatest Common Factor of 4407/374, 7658/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4407/374, 7658/863

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 4407/374,7658/863

Given fractions are 4407/374,7658/863

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 4407,7658

Greatest Common Factor of Numerators i.e. GCF of 4407,7658 is 1 .

LCM of Denominators means LCM of 374,863 as per the given fractions.

LCM of 374,863 is 322762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4407,7658

GCF of Fractions 4407/374,7658/863 is 1/322762

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

Greatest Common Factor of 4407,7658 By Matching Biggest Common Factor Method

Greatest Common Factor of 4407,7658 By Matching Biggest Common Factor Method

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1,3,13,39,113,339,1469,4407

Factors of 7658

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

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

Greatest Common Factor

We found the factors 4407,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 4407,7658 is 1.

Lets's calculate LCM of 374,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 322762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322762

Therefore, the GCF of Fractions 4407/374,7658/863 is 1/322762

Least Common Multiple of 374,863 with GCF Formula

Least Common Multiple of 374,863 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 374,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,863) = 1

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

GCF(374,863) x common factors =1 x 1 = 1

LCM(374,863) = ( 374 × 863 ) / 1

LCM(374,863) = 322762 / 1

LCM(374,863) = 322762


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 4407/374, 7658/863

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 4407/374, 7658/863?

Answer: GCF of Numerators as per given numbers 4407/374, 7658/863 is

GCF of Numerators i.e. for 4407,7658 is 1

LCM of denominators i.e. for 374,863 is 322762.

Thus, GCF of Fractions is 1/322762.Finally, GCF of Fractions for 4407/374, 7658/863 is 1/322762.