Greatest Common Factor of 434/54, 584/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 434/54, 584/295

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 434/54,584/295

Given fractions are 434/54,584/295

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 434,584

Greatest Common Factor of Numerators i.e. GCF of 434,584 is 2 .

LCM of Denominators means LCM of 54,295 as per the given fractions.

LCM of 54,295 is 15930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 434,584

GCF of Fractions 434/54,584/295 is 2/15930

2 434, 584
217, 292

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 434,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,584 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 434,584 . The biggest common factor number is the GCF number.
So the greatest common factor 434,584 is 2.

Lets's calculate LCM of 54,295

Given numbers has no common factors except 1. So, there LCM is their product i.e 15930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15930

Therefore, the GCF of Fractions 434/54,584/295 is 2/15930

Least Common Multiple of 54,295 with GCF Formula

Least Common Multiple of 54,295 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 54,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,295) = 1

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

GCF(54,295) x common factors =1 x 1 = 1

LCM(54,295) = ( 54 × 295 ) / 1

LCM(54,295) = 15930 / 1

LCM(54,295) = 15930


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 434/54, 584/295

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 434/54, 584/295?

Answer: GCF of Numerators as per given numbers 434/54, 584/295 is

GCF of Numerators i.e. for 434,584 is 2

LCM of denominators i.e. for 54,295 is 15930.

Thus, GCF of Fractions is 2/15930.Finally, GCF of Fractions for 434/54, 584/295 is 2/15930.