Greatest Common Factor of 554/80, 138/96, 511/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 554/80, 138/96, 511/409

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 554/80,138/96,511/409

Given fractions are 554/80,138/96,511/409

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 554,138,511

Greatest Common Factor of Numerators i.e. GCF of 554,138,511 is 1 .

LCM of Denominators means LCM of 80,96,409 as per the given fractions.

LCM of 80,96,409 is 196320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,138,511

GCF of Fractions 554/80,138/96,511/409 is 1/196320

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

Greatest Common Factor of 554,138,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,138,511 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 554,138,511 . The biggest common factor number is the GCF number.
So the greatest common factor 554,138,511 is 1.


Lets's calculate LCM of 80,96,409

2 80, 96, 409
2 40, 48, 409
2 20, 24, 409
2 10, 12, 409
5, 6, 409

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 6 x 409 = 196320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196320

Therefore, the GCF of Fractions 554/80,138/96,511/409 is 1/196320

Least Common Multiple of 80,96,409 with GCF Formula

Least Common Multiple of 80,96,409 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 80,96,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,96,409) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(80,96,409) x common factors =1 x 16 = 16

LCM(80,96,409) = ( 80 × 96 × 409 ) / 16

LCM(80,96,409) = 3141120 / 16

LCM(80,96,409) = 196320


GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 554/80, 138/96, 511/409

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 554/80, 138/96, 511/409?

Answer: GCF of Numerators as per given numbers 554/80, 138/96, 511/409 is

GCF of Numerators i.e. for 554,138,511 is 1

LCM of denominators i.e. for 80,96,409 is 196320.

Thus, GCF of Fractions is 1/196320.Finally, GCF of Fractions for 554/80, 138/96, 511/409 is 1/196320.