Greatest Common Factor of 1860/680, 7396/4865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1860/680, 7396/4865

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 1860/680,7396/4865

Given fractions are 1860/680,7396/4865

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 1860,7396

Greatest Common Factor of Numerators i.e. GCF of 1860,7396 is 4 .

LCM of Denominators means LCM of 680,4865 as per the given fractions.

LCM of 680,4865 is 661640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1860,7396

GCF of Fractions 1860/680,7396/4865 is 4/661640

2 1860, 7396
2 930, 3698
465, 1849

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1860,7396 By Matching Biggest Common Factor Method

Greatest Common Factor of 1860,7396 By Matching Biggest Common Factor Method

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1,2,4,43,86,172,1849,3698,7396

Greatest Common Factor

We found the factors 1860,7396 . The biggest common factor number is the GCF number.
So the greatest common factor 1860,7396 is 4.

Lets's calculate LCM of 680,4865

5 680, 4865
136, 973

∴ So the LCM of the given numbers is 5 x 136 x 973 = 661640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/661640

Therefore, the GCF of Fractions 1860/680,7396/4865 is 4/661640

Least Common Multiple of 680,4865 with GCF Formula

Least Common Multiple of 680,4865 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 680,4865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,4865) = 5

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

GCF(680,4865) x common factors =5 x 1 = 5

LCM(680,4865) = ( 680 × 4865 ) / 5

LCM(680,4865) = 3308200 / 5

LCM(680,4865) = 661640


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 1860/680, 7396/4865

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 1860/680, 7396/4865?

Answer: GCF of Numerators as per given numbers 1860/680, 7396/4865 is

GCF of Numerators i.e. for 1860,7396 is 4

LCM of denominators i.e. for 680,4865 is 661640.

Thus, GCF of Fractions is 4/661640.Finally, GCF of Fractions for 1860/680, 7396/4865 is 4/661640.