Greatest Common Factor of 5/98, 19/77, 13/188, 900/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/98, 19/77, 13/188, 900/287

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 5/98,19/77,13/188,900/287

Given fractions are 5/98,19/77,13/188,900/287

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 5,19,13,900

Greatest Common Factor of Numerators i.e. GCF of 5,19,13,900 is 1 .

LCM of Denominators means LCM of 98,77,188,287 as per the given fractions.

LCM of 98,77,188,287 is 4154612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,19,13,900

GCF of Fractions 5/98,19/77,13/188,900/287 is 1/4154612

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

Greatest Common Factor of 5,19,13,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,19,13,900 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 5,19,13,900 . The biggest common factor number is the GCF number.
So the greatest common factor 5,19,13,900 is 1.

Lets's calculate LCM of 98,77,188,287

2 98, 77, 188, 287
7 49, 77, 94, 287
7, 11, 94, 41

∴ So the LCM of the given numbers is 2 x 7 x 7 x 11 x 94 x 41 = 4154612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4154612

Therefore, the GCF of Fractions 5/98,19/77,13/188,900/287 is 1/4154612

Least Common Multiple of 98,77,188,287 with GCF Formula

Least Common Multiple of 98,77,188,287 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 98,77,188,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,77,188,287) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(98,77,188,287) x common factors =1 x 98 = 98

LCM(98,77,188,287) = ( 98 × 77 × 188 × 287 ) / 98

LCM(98,77,188,287) = 407151976 / 98

LCM(98,77,188,287) = 4154612


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 5/98, 19/77, 13/188, 900/287

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 5/98, 19/77, 13/188, 900/287?

Answer: GCF of Numerators as per given numbers 5/98, 19/77, 13/188, 900/287 is

GCF of Numerators i.e. for 5,19,13,900 is 1

LCM of denominators i.e. for 98,77,188,287 is 4154612.

Thus, GCF of Fractions is 1/4154612.Finally, GCF of Fractions for 5/98, 19/77, 13/188, 900/287 is 1/4154612.