Greatest Common Factor of 4677/694, 5845/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4677/694, 5845/766

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 4677/694,5845/766

Given fractions are 4677/694,5845/766

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 4677,5845

Greatest Common Factor of Numerators i.e. GCF of 4677,5845 is 1 .

LCM of Denominators means LCM of 694,766 as per the given fractions.

LCM of 694,766 is 265802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4677,5845

GCF of Fractions 4677/694,5845/766 is 1/265802

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

Greatest Common Factor of 4677,5845 By Matching Biggest Common Factor Method

Greatest Common Factor of 4677,5845 By Matching Biggest Common Factor Method

Factors of 4677

List of positive integer factors of 4677 that divides 4677 without a remainder.

1,3,1559,4677

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1,5,7,35,167,835,1169,5845

Greatest Common Factor

We found the factors 4677,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 4677,5845 is 1.

Lets's calculate LCM of 694,766

2 694, 766
347, 383

∴ So the LCM of the given numbers is 2 x 347 x 383 = 265802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265802

Therefore, the GCF of Fractions 4677/694,5845/766 is 1/265802

Least Common Multiple of 694,766 with GCF Formula

Least Common Multiple of 694,766 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 694,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,766) = 2

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

GCF(694,766) x common factors =2 x 1 = 2

LCM(694,766) = ( 694 × 766 ) / 2

LCM(694,766) = 531604 / 2

LCM(694,766) = 265802


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 4677/694, 5845/766

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 4677/694, 5845/766?

Answer: GCF of Numerators as per given numbers 4677/694, 5845/766 is

GCF of Numerators i.e. for 4677,5845 is 1

LCM of denominators i.e. for 694,766 is 265802.

Thus, GCF of Fractions is 1/265802.Finally, GCF of Fractions for 4677/694, 5845/766 is 1/265802.