Greatest Common Factor of 740/861, 8198/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 740/861, 8198/755

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 740/861,8198/755

Given fractions are 740/861,8198/755

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 740,8198

Greatest Common Factor of Numerators i.e. GCF of 740,8198 is 2 .

LCM of Denominators means LCM of 861,755 as per the given fractions.

LCM of 861,755 is 650055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 740,8198

GCF of Fractions 740/861,8198/755 is 2/650055

2 740, 8198
370, 4099

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

Greatest Common Factor of 740,8198 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,8198 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1,2,4099,8198

Greatest Common Factor

We found the factors 740,8198 . The biggest common factor number is the GCF number.
So the greatest common factor 740,8198 is 2.

Lets's calculate LCM of 861,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 650055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/650055

Therefore, the GCF of Fractions 740/861,8198/755 is 2/650055

Least Common Multiple of 861,755 with GCF Formula

Least Common Multiple of 861,755 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 861,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,755) = 1

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

GCF(861,755) x common factors =1 x 1 = 1

LCM(861,755) = ( 861 × 755 ) / 1

LCM(861,755) = 650055 / 1

LCM(861,755) = 650055


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 740/861, 8198/755

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 740/861, 8198/755?

Answer: GCF of Numerators as per given numbers 740/861, 8198/755 is

GCF of Numerators i.e. for 740,8198 is 2

LCM of denominators i.e. for 861,755 is 650055.

Thus, GCF of Fractions is 2/650055.Finally, GCF of Fractions for 740/861, 8198/755 is 2/650055.