Greatest Common Factor of 10/451, 17/574, 739/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/451, 17/574, 739/791

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 10/451,17/574,739/791

Given fractions are 10/451,17/574,739/791

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 10,17,739

Greatest Common Factor of Numerators i.e. GCF of 10,17,739 is 1 .

LCM of Denominators means LCM of 451,574,791 as per the given fractions.

LCM of 451,574,791 is 713482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,17,739

GCF of Fractions 10/451,17/574,739/791 is 1/713482

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

Greatest Common Factor of 10,17,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,17,739 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 10,17,739 . The biggest common factor number is the GCF number.
So the greatest common factor 10,17,739 is 1.

Lets's calculate LCM of 451,574,791

7 451, 574, 791
41 451, 82, 113
11, 2, 113

∴ So the LCM of the given numbers is 7 x 41 x 11 x 2 x 113 = 713482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713482

Therefore, the GCF of Fractions 10/451,17/574,739/791 is 1/713482

Least Common Multiple of 451,574,791 with GCF Formula

Least Common Multiple of 451,574,791 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 451,574,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,574,791) = 1

common factors(in case of two or more numbers have common factors) = 287

GCF(451,574,791) x common factors =1 x 287 = 287

LCM(451,574,791) = ( 451 × 574 × 791 ) / 287

LCM(451,574,791) = 204769334 / 287

LCM(451,574,791) = 713482


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 10/451, 17/574, 739/791

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 10/451, 17/574, 739/791?

Answer: GCF of Numerators as per given numbers 10/451, 17/574, 739/791 is

GCF of Numerators i.e. for 10,17,739 is 1

LCM of denominators i.e. for 451,574,791 is 713482.

Thus, GCF of Fractions is 1/713482.Finally, GCF of Fractions for 10/451, 17/574, 739/791 is 1/713482.