Greatest Common Factor of 860/49, 4640/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/49, 4640/742

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 860/49,4640/742

Given fractions are 860/49,4640/742

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 860,4640

Greatest Common Factor of Numerators i.e. GCF of 860,4640 is 20 .

LCM of Denominators means LCM of 49,742 as per the given fractions.

LCM of 49,742 is 5194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,4640

GCF of Fractions 860/49,4640/742 is 20/5194

2 860, 4640
2 430, 2320
5 215, 1160
43, 232

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 860,4640 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,4640 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

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 860,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 860,4640 is 20.

Lets's calculate LCM of 49,742

7 49, 742
7, 106

∴ So the LCM of the given numbers is 7 x 7 x 106 = 5194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/5194

Therefore, the GCF of Fractions 860/49,4640/742 is 20/5194

Least Common Multiple of 49,742 with GCF Formula

Least Common Multiple of 49,742 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 49,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,742) = 7

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

GCF(49,742) x common factors =7 x 1 = 7

LCM(49,742) = ( 49 × 742 ) / 7

LCM(49,742) = 36358 / 7

LCM(49,742) = 5194


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 860/49, 4640/742

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 860/49, 4640/742?

Answer: GCF of Numerators as per given numbers 860/49, 4640/742 is

GCF of Numerators i.e. for 860,4640 is 20

LCM of denominators i.e. for 49,742 is 5194.

Thus, GCF of Fractions is 20/5194.Finally, GCF of Fractions for 860/49, 4640/742 is 20/5194.