Greatest Common Factor of 19/77, 781/99, 340/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/77, 781/99, 340/227

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 19/77,781/99,340/227

Given fractions are 19/77,781/99,340/227

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 19,781,340

Greatest Common Factor of Numerators i.e. GCF of 19,781,340 is 1 .

LCM of Denominators means LCM of 77,99,227 as per the given fractions.

LCM of 77,99,227 is 157311 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,781,340

GCF of Fractions 19/77,781/99,340/227 is 1/157311

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

Greatest Common Factor of 19,781,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,781,340 By Matching Biggest Common Factor Method

Factors of 19

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

1,19

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 19,781,340 . The biggest common factor number is the GCF number.
So the greatest common factor 19,781,340 is 1.

Lets's calculate LCM of 77,99,227

11 77, 99, 227
7, 9, 227

∴ So the LCM of the given numbers is 11 x 7 x 9 x 227 = 157311

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157311

Therefore, the GCF of Fractions 19/77,781/99,340/227 is 1/157311

Least Common Multiple of 77,99,227 with GCF Formula

Least Common Multiple of 77,99,227 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 77,99,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,99,227) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,99,227) x common factors =1 x 11 = 11

LCM(77,99,227) = ( 77 × 99 × 227 ) / 11

LCM(77,99,227) = 1730421 / 11

LCM(77,99,227) = 157311


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 19/77, 781/99, 340/227

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 19/77, 781/99, 340/227?

Answer: GCF of Numerators as per given numbers 19/77, 781/99, 340/227 is

GCF of Numerators i.e. for 19,781,340 is 1

LCM of denominators i.e. for 77,99,227 is 157311.

Thus, GCF of Fractions is 1/157311.Finally, GCF of Fractions for 19/77, 781/99, 340/227 is 1/157311.