Greatest Common Factor of 1/19, 89/39, 87/298, 276/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/19, 89/39, 87/298, 276/218

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 1/19,89/39,87/298,276/218

Given fractions are 1/19,89/39,87/298,276/218

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 1,89,87,276

Greatest Common Factor of Numerators i.e. GCF of 1,89,87,276 is 1 .

LCM of Denominators means LCM of 19,39,298,218 as per the given fractions.

LCM of 19,39,298,218 is 24069162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,89,87,276

GCF of Fractions 1/19,89/39,87/298,276/218 is 1/24069162

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

Greatest Common Factor of 1,89,87,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,89,87,276 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 1,89,87,276 . The biggest common factor number is the GCF number.
So the greatest common factor 1,89,87,276 is 1.

Lets's calculate LCM of 19,39,298,218

2 19, 39, 298, 218
19, 39, 149, 109

∴ So the LCM of the given numbers is 2 x 19 x 39 x 149 x 109 = 24069162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24069162

Therefore, the GCF of Fractions 1/19,89/39,87/298,276/218 is 1/24069162

Least Common Multiple of 19,39,298,218 with GCF Formula

Least Common Multiple of 19,39,298,218 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 19,39,298,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,39,298,218) = 1

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

GCF(19,39,298,218) x common factors =1 x 2 = 2

LCM(19,39,298,218) = ( 19 × 39 × 298 × 218 ) / 2

LCM(19,39,298,218) = 48138324 / 2

LCM(19,39,298,218) = 24069162


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 1/19, 89/39, 87/298, 276/218

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 1/19, 89/39, 87/298, 276/218?

Answer: GCF of Numerators as per given numbers 1/19, 89/39, 87/298, 276/218 is

GCF of Numerators i.e. for 1,89,87,276 is 1

LCM of denominators i.e. for 19,39,298,218 is 24069162.

Thus, GCF of Fractions is 1/24069162.Finally, GCF of Fractions for 1/19, 89/39, 87/298, 276/218 is 1/24069162.