Greatest Common Factor of 860/378, 245/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/378, 245/702

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 860/378,245/702

Given fractions are 860/378,245/702

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 860,245

Greatest Common Factor of Numerators i.e. GCF of 860,245 is 5 .

LCM of Denominators means LCM of 378,702 as per the given fractions.

LCM of 378,702 is 4914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,245

GCF of Fractions 860/378,245/702 is 5/4914

5 860, 245
172, 49

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 860,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,245 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 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 860,245 . The biggest common factor number is the GCF number.
So the greatest common factor 860,245 is 5.

Lets's calculate LCM of 378,702

2 378, 702
3 189, 351
3 63, 117
3 21, 39
7, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 13 = 4914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4914

Therefore, the GCF of Fractions 860/378,245/702 is 5/4914

Least Common Multiple of 378,702 with GCF Formula

Least Common Multiple of 378,702 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 378,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,702) = 54

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

GCF(378,702) x common factors =54 x 1 = 54

LCM(378,702) = ( 378 × 702 ) / 54

LCM(378,702) = 265356 / 54

LCM(378,702) = 4914


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 860/378, 245/702

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 860/378, 245/702?

Answer: GCF of Numerators as per given numbers 860/378, 245/702 is

GCF of Numerators i.e. for 860,245 is 5

LCM of denominators i.e. for 378,702 is 4914.

Thus, GCF of Fractions is 5/4914.Finally, GCF of Fractions for 860/378, 245/702 is 5/4914.