Greatest Common Factor of 77/13, 17/46, 526/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/13, 17/46, 526/334

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 77/13,17/46,526/334

Given fractions are 77/13,17/46,526/334

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 77,17,526

Greatest Common Factor of Numerators i.e. GCF of 77,17,526 is 1 .

LCM of Denominators means LCM of 13,46,334 as per the given fractions.

LCM of 13,46,334 is 99866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,17,526

GCF of Fractions 77/13,17/46,526/334 is 1/99866

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

Greatest Common Factor of 77,17,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,17,526 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 77,17,526 . The biggest common factor number is the GCF number.
So the greatest common factor 77,17,526 is 1.

Lets's calculate LCM of 13,46,334

2 13, 46, 334
13, 23, 167

∴ So the LCM of the given numbers is 2 x 13 x 23 x 167 = 99866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99866

Therefore, the GCF of Fractions 77/13,17/46,526/334 is 1/99866

Least Common Multiple of 13,46,334 with GCF Formula

Least Common Multiple of 13,46,334 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 13,46,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,46,334) = 1

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

GCF(13,46,334) x common factors =1 x 2 = 2

LCM(13,46,334) = ( 13 × 46 × 334 ) / 2

LCM(13,46,334) = 199732 / 2

LCM(13,46,334) = 99866


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 77/13, 17/46, 526/334

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 77/13, 17/46, 526/334?

Answer: GCF of Numerators as per given numbers 77/13, 17/46, 526/334 is

GCF of Numerators i.e. for 77,17,526 is 1

LCM of denominators i.e. for 13,46,334 is 99866.

Thus, GCF of Fractions is 1/99866.Finally, GCF of Fractions for 77/13, 17/46, 526/334 is 1/99866.