Greatest Common Factor of 3863/566, 7660/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3863/566, 7660/614

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 3863/566,7660/614

Given fractions are 3863/566,7660/614

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 3863,7660

Greatest Common Factor of Numerators i.e. GCF of 3863,7660 is 1 .

LCM of Denominators means LCM of 566,614 as per the given fractions.

LCM of 566,614 is 173762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3863,7660

GCF of Fractions 3863/566,7660/614 is 1/173762

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

Greatest Common Factor of 3863,7660 By Matching Biggest Common Factor Method

Greatest Common Factor of 3863,7660 By Matching Biggest Common Factor Method

Factors of 3863

List of positive integer factors of 3863 that divides 3863 without a remainder.

1,3863

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Greatest Common Factor

We found the factors 3863,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 3863,7660 is 1.

Lets's calculate LCM of 566,614

2 566, 614
283, 307

∴ So the LCM of the given numbers is 2 x 283 x 307 = 173762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173762

Therefore, the GCF of Fractions 3863/566,7660/614 is 1/173762

Least Common Multiple of 566,614 with GCF Formula

Least Common Multiple of 566,614 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 566,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,614) = 2

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

GCF(566,614) x common factors =2 x 1 = 2

LCM(566,614) = ( 566 × 614 ) / 2

LCM(566,614) = 347524 / 2

LCM(566,614) = 173762


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 3863/566, 7660/614

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 3863/566, 7660/614?

Answer: GCF of Numerators as per given numbers 3863/566, 7660/614 is

GCF of Numerators i.e. for 3863,7660 is 1

LCM of denominators i.e. for 566,614 is 173762.

Thus, GCF of Fractions is 1/173762.Finally, GCF of Fractions for 3863/566, 7660/614 is 1/173762.