Greatest Common Factor of 584/13, 361/67, 467/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/13, 361/67, 467/278

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 584/13,361/67,467/278

Given fractions are 584/13,361/67,467/278

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 584,361,467

Greatest Common Factor of Numerators i.e. GCF of 584,361,467 is 1 .

LCM of Denominators means LCM of 13,67,278 as per the given fractions.

LCM of 13,67,278 is 242138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,361,467

GCF of Fractions 584/13,361/67,467/278 is 1/242138

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

Greatest Common Factor of 584,361,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,361,467 By Matching Biggest Common Factor Method

Factors of 584

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

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

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 584,361,467 . The biggest common factor number is the GCF number.
So the greatest common factor 584,361,467 is 1.

Lets's calculate LCM of 13,67,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 242138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242138

Therefore, the GCF of Fractions 584/13,361/67,467/278 is 1/242138

Least Common Multiple of 13,67,278 with GCF Formula

Least Common Multiple of 13,67,278 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 13,67,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,67,278) = 1

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

GCF(13,67,278) x common factors =1 x 1 = 1

LCM(13,67,278) = ( 13 × 67 × 278 ) / 1

LCM(13,67,278) = 242138 / 1

LCM(13,67,278) = 242138


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 584/13, 361/67, 467/278

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 584/13, 361/67, 467/278?

Answer: GCF of Numerators as per given numbers 584/13, 361/67, 467/278 is

GCF of Numerators i.e. for 584,361,467 is 1

LCM of denominators i.e. for 13,67,278 is 242138.

Thus, GCF of Fractions is 1/242138.Finally, GCF of Fractions for 584/13, 361/67, 467/278 is 1/242138.