Greatest Common Factor of 866/10, 151/49, 741/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 866/10, 151/49, 741/390

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 866/10,151/49,741/390

Given fractions are 866/10,151/49,741/390

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 866,151,741

Greatest Common Factor of Numerators i.e. GCF of 866,151,741 is 1 .

LCM of Denominators means LCM of 10,49,390 as per the given fractions.

LCM of 10,49,390 is 19110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 866,151,741

GCF of Fractions 866/10,151/49,741/390 is 1/19110

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 866,151,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,151,741 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 866,151,741 . The biggest common factor number is the GCF number.
So the greatest common factor 866,151,741 is 1.

Lets's calculate LCM of 10,49,390

2 10, 49, 390
5 5, 49, 195
1, 49, 39

∴ So the LCM of the given numbers is 2 x 5 x 1 x 49 x 39 = 19110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19110

Therefore, the GCF of Fractions 866/10,151/49,741/390 is 1/19110

Least Common Multiple of 10,49,390 with GCF Formula

Least Common Multiple of 10,49,390 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 10,49,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,49,390) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,49,390) x common factors =1 x 10 = 10

LCM(10,49,390) = ( 10 × 49 × 390 ) / 10

LCM(10,49,390) = 191100 / 10

LCM(10,49,390) = 19110


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 866/10, 151/49, 741/390

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 866/10, 151/49, 741/390?

Answer: GCF of Numerators as per given numbers 866/10, 151/49, 741/390 is

GCF of Numerators i.e. for 866,151,741 is 1

LCM of denominators i.e. for 10,49,390 is 19110.

Thus, GCF of Fractions is 1/19110.Finally, GCF of Fractions for 866/10, 151/49, 741/390 is 1/19110.