Greatest Common Factor of 734/76, 842/29, 873/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 734/76, 842/29, 873/751

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 734/76,842/29,873/751

Given fractions are 734/76,842/29,873/751

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 734,842,873

Greatest Common Factor of Numerators i.e. GCF of 734,842,873 is 1 .

LCM of Denominators means LCM of 76,29,751 as per the given fractions.

LCM of 76,29,751 is 1655204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 734,842,873

GCF of Fractions 734/76,842/29,873/751 is 1/1655204

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

Greatest Common Factor of 734,842,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,842,873 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 734,842,873 . The biggest common factor number is the GCF number.
So the greatest common factor 734,842,873 is 1.

Lets's calculate LCM of 76,29,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 1655204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1655204

Therefore, the GCF of Fractions 734/76,842/29,873/751 is 1/1655204

Least Common Multiple of 76,29,751 with GCF Formula

Least Common Multiple of 76,29,751 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 76,29,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,29,751) = 1

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

GCF(76,29,751) x common factors =1 x 1 = 1

LCM(76,29,751) = ( 76 × 29 × 751 ) / 1

LCM(76,29,751) = 1655204 / 1

LCM(76,29,751) = 1655204


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 734/76, 842/29, 873/751

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 734/76, 842/29, 873/751?

Answer: GCF of Numerators as per given numbers 734/76, 842/29, 873/751 is

GCF of Numerators i.e. for 734,842,873 is 1

LCM of denominators i.e. for 76,29,751 is 1655204.

Thus, GCF of Fractions is 1/1655204.Finally, GCF of Fractions for 734/76, 842/29, 873/751 is 1/1655204.