Greatest Common Factor of 55/427, 53/584, 796/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/427, 53/584, 796/666

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 55/427,53/584,796/666

Given fractions are 55/427,53/584,796/666

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 55,53,796

Greatest Common Factor of Numerators i.e. GCF of 55,53,796 is 1 .

LCM of Denominators means LCM of 427,584,666 as per the given fractions.

LCM of 427,584,666 is 83039544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,53,796

GCF of Fractions 55/427,53/584,796/666 is 1/83039544

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

Greatest Common Factor of 55,53,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,53,796 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 55,53,796 . The biggest common factor number is the GCF number.
So the greatest common factor 55,53,796 is 1.

Lets's calculate LCM of 427,584,666

2 427, 584, 666
427, 292, 333

∴ So the LCM of the given numbers is 2 x 427 x 292 x 333 = 83039544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83039544

Therefore, the GCF of Fractions 55/427,53/584,796/666 is 1/83039544

Least Common Multiple of 427,584,666 with GCF Formula

Least Common Multiple of 427,584,666 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 427,584,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,584,666) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(427,584,666) x common factors =1 x 2 = 2

LCM(427,584,666) = ( 427 × 584 × 666 ) / 2

LCM(427,584,666) = 166079088 / 2

LCM(427,584,666) = 83039544


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 55/427, 53/584, 796/666

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 55/427, 53/584, 796/666?

Answer: GCF of Numerators as per given numbers 55/427, 53/584, 796/666 is

GCF of Numerators i.e. for 55,53,796 is 1

LCM of denominators i.e. for 427,584,666 is 83039544.

Thus, GCF of Fractions is 1/83039544.Finally, GCF of Fractions for 55/427, 53/584, 796/666 is 1/83039544.