Greatest Common Factor of 4760/87, 4678/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4760/87, 4678/766

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 4760/87,4678/766

Given fractions are 4760/87,4678/766

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 4760,4678

Greatest Common Factor of Numerators i.e. GCF of 4760,4678 is 2 .

LCM of Denominators means LCM of 87,766 as per the given fractions.

LCM of 87,766 is 66642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4760,4678

GCF of Fractions 4760/87,4678/766 is 2/66642

2 4760, 4678
2380, 2339

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4760,4678 By Matching Biggest Common Factor Method

Greatest Common Factor of 4760,4678 By Matching Biggest Common Factor Method

Factors of 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Greatest Common Factor

We found the factors 4760,4678 . The biggest common factor number is the GCF number.
So the greatest common factor 4760,4678 is 2.

Lets's calculate LCM of 87,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 66642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66642

Therefore, the GCF of Fractions 4760/87,4678/766 is 2/66642

Least Common Multiple of 87,766 with GCF Formula

Least Common Multiple of 87,766 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 87,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,766) = 1

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

GCF(87,766) x common factors =1 x 1 = 1

LCM(87,766) = ( 87 × 766 ) / 1

LCM(87,766) = 66642 / 1

LCM(87,766) = 66642


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 4760/87, 4678/766

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 4760/87, 4678/766?

Answer: GCF of Numerators as per given numbers 4760/87, 4678/766 is

GCF of Numerators i.e. for 4760,4678 is 2

LCM of denominators i.e. for 87,766 is 66642.

Thus, GCF of Fractions is 2/66642.Finally, GCF of Fractions for 4760/87, 4678/766 is 2/66642.