Greatest Common Factor of 104/1114, 729/7262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/1114, 729/7262

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 104/1114,729/7262

Given fractions are 104/1114,729/7262

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 104,729

Greatest Common Factor of Numerators i.e. GCF of 104,729 is 1 .

LCM of Denominators means LCM of 1114,7262 as per the given fractions.

LCM of 1114,7262 is 4044934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,729

GCF of Fractions 104/1114,729/7262 is 1/4044934

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

Greatest Common Factor of 104,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,729 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 104,729 . The biggest common factor number is the GCF number.
So the greatest common factor 104,729 is 1.

Lets's calculate LCM of 1114,7262

2 1114, 7262
557, 3631

∴ So the LCM of the given numbers is 2 x 557 x 3631 = 4044934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4044934

Therefore, the GCF of Fractions 104/1114,729/7262 is 1/4044934

Least Common Multiple of 1114,7262 with GCF Formula

Least Common Multiple of 1114,7262 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 1114,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1114,7262) = 2

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

GCF(1114,7262) x common factors =2 x 1 = 2

LCM(1114,7262) = ( 1114 × 7262 ) / 2

LCM(1114,7262) = 8089868 / 2

LCM(1114,7262) = 4044934


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 104/1114, 729/7262

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 104/1114, 729/7262?

Answer: GCF of Numerators as per given numbers 104/1114, 729/7262 is

GCF of Numerators i.e. for 104,729 is 1

LCM of denominators i.e. for 1114,7262 is 4044934.

Thus, GCF of Fractions is 1/4044934.Finally, GCF of Fractions for 104/1114, 729/7262 is 1/4044934.