Greatest Common Factor of 5555/723, 9076/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5555/723, 9076/693

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 5555/723,9076/693

Given fractions are 5555/723,9076/693

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 5555,9076

Greatest Common Factor of Numerators i.e. GCF of 5555,9076 is 1 .

LCM of Denominators means LCM of 723,693 as per the given fractions.

LCM of 723,693 is 167013 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5555,9076

GCF of Fractions 5555/723,9076/693 is 1/167013

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

Greatest Common Factor of 5555,9076 By Matching Biggest Common Factor Method

Greatest Common Factor of 5555,9076 By Matching Biggest Common Factor Method

Factors of 5555

List of positive integer factors of 5555 that divides 5555 without a remainder.

1,5,11,55,101,505,1111,5555

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1,2,4,2269,4538,9076

Greatest Common Factor

We found the factors 5555,9076 . The biggest common factor number is the GCF number.
So the greatest common factor 5555,9076 is 1.

Lets's calculate LCM of 723,693

3 723, 693
241, 231

∴ So the LCM of the given numbers is 3 x 241 x 231 = 167013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167013

Therefore, the GCF of Fractions 5555/723,9076/693 is 1/167013

Least Common Multiple of 723,693 with GCF Formula

Least Common Multiple of 723,693 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 723,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,693) = 3

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

GCF(723,693) x common factors =3 x 1 = 3

LCM(723,693) = ( 723 × 693 ) / 3

LCM(723,693) = 501039 / 3

LCM(723,693) = 167013


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 5555/723, 9076/693

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 5555/723, 9076/693?

Answer: GCF of Numerators as per given numbers 5555/723, 9076/693 is

GCF of Numerators i.e. for 5555,9076 is 1

LCM of denominators i.e. for 723,693 is 167013.

Thus, GCF of Fractions is 1/167013.Finally, GCF of Fractions for 5555/723, 9076/693 is 1/167013.