Greatest Common Factor of 29/78, 11/61, 361/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/78, 11/61, 361/458

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 29/78,11/61,361/458

Given fractions are 29/78,11/61,361/458

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 29,11,361

Greatest Common Factor of Numerators i.e. GCF of 29,11,361 is 1 .

LCM of Denominators means LCM of 78,61,458 as per the given fractions.

LCM of 78,61,458 is 1089582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,11,361

GCF of Fractions 29/78,11/61,361/458 is 1/1089582

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

Greatest Common Factor of 29,11,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,11,361 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 29,11,361 . The biggest common factor number is the GCF number.
So the greatest common factor 29,11,361 is 1.

Lets's calculate LCM of 78,61,458

2 78, 61, 458
39, 61, 229

∴ So the LCM of the given numbers is 2 x 39 x 61 x 229 = 1089582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1089582

Therefore, the GCF of Fractions 29/78,11/61,361/458 is 1/1089582

Least Common Multiple of 78,61,458 with GCF Formula

Least Common Multiple of 78,61,458 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 78,61,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,61,458) = 1

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

GCF(78,61,458) x common factors =1 x 2 = 2

LCM(78,61,458) = ( 78 × 61 × 458 ) / 2

LCM(78,61,458) = 2179164 / 2

LCM(78,61,458) = 1089582


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 29/78, 11/61, 361/458

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 29/78, 11/61, 361/458?

Answer: GCF of Numerators as per given numbers 29/78, 11/61, 361/458 is

GCF of Numerators i.e. for 29,11,361 is 1

LCM of denominators i.e. for 78,61,458 is 1089582.

Thus, GCF of Fractions is 1/1089582.Finally, GCF of Fractions for 29/78, 11/61, 361/458 is 1/1089582.