Greatest Common Factor of 29/238, 6632/9310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/238, 6632/9310

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 29/238,6632/9310

Given fractions are 29/238,6632/9310

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 29,6632

Greatest Common Factor of Numerators i.e. GCF of 29,6632 is 1 .

LCM of Denominators means LCM of 238,9310 as per the given fractions.

LCM of 238,9310 is 158270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,6632

GCF of Fractions 29/238,6632/9310 is 1/158270

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

Greatest Common Factor of 29,6632 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,6632 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 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1,2,4,8,829,1658,3316,6632

Greatest Common Factor

We found the factors 29,6632 . The biggest common factor number is the GCF number.
So the greatest common factor 29,6632 is 1.

Lets's calculate LCM of 238,9310

2 238, 9310
7 119, 4655
17, 665

∴ So the LCM of the given numbers is 2 x 7 x 17 x 665 = 158270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158270

Therefore, the GCF of Fractions 29/238,6632/9310 is 1/158270

Least Common Multiple of 238,9310 with GCF Formula

Least Common Multiple of 238,9310 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 238,9310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,9310) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(238,9310) x common factors =14 x 1 = 14

LCM(238,9310) = ( 238 × 9310 ) / 14

LCM(238,9310) = 2215780 / 14

LCM(238,9310) = 158270


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 29/238, 6632/9310

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 29/238, 6632/9310?

Answer: GCF of Numerators as per given numbers 29/238, 6632/9310 is

GCF of Numerators i.e. for 29,6632 is 1

LCM of denominators i.e. for 238,9310 is 158270.

Thus, GCF of Fractions is 1/158270.Finally, GCF of Fractions for 29/238, 6632/9310 is 1/158270.