Greatest Common Factor of 14/77, 19/81, 623/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/77, 19/81, 623/477

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 14/77,19/81,623/477

Given fractions are 14/77,19/81,623/477

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 14,19,623

Greatest Common Factor of Numerators i.e. GCF of 14,19,623 is 1 .

LCM of Denominators means LCM of 77,81,477 as per the given fractions.

LCM of 77,81,477 is 330561 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,19,623

GCF of Fractions 14/77,19/81,623/477 is 1/330561

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

Greatest Common Factor of 14,19,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,19,623 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 19

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

1,19

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 14,19,623 . The biggest common factor number is the GCF number.
So the greatest common factor 14,19,623 is 1.

Lets's calculate LCM of 77,81,477

3 77, 81, 477
3 77, 27, 159
77, 9, 53

∴ So the LCM of the given numbers is 3 x 3 x 77 x 9 x 53 = 330561

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330561

Therefore, the GCF of Fractions 14/77,19/81,623/477 is 1/330561

Least Common Multiple of 77,81,477 with GCF Formula

Least Common Multiple of 77,81,477 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 77,81,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,81,477) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(77,81,477) x common factors =1 x 9 = 9

LCM(77,81,477) = ( 77 × 81 × 477 ) / 9

LCM(77,81,477) = 2975049 / 9

LCM(77,81,477) = 330561


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 14/77, 19/81, 623/477

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 14/77, 19/81, 623/477?

Answer: GCF of Numerators as per given numbers 14/77, 19/81, 623/477 is

GCF of Numerators i.e. for 14,19,623 is 1

LCM of denominators i.e. for 77,81,477 is 330561.

Thus, GCF of Fractions is 1/330561.Finally, GCF of Fractions for 14/77, 19/81, 623/477 is 1/330561.