Greatest Common Factor of 5/29, 44/39, 86/232, 350/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/29, 44/39, 86/232, 350/221

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 5/29,44/39,86/232,350/221

Given fractions are 5/29,44/39,86/232,350/221

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 5,44,86,350

Greatest Common Factor of Numerators i.e. GCF of 5,44,86,350 is 1 .

LCM of Denominators means LCM of 29,39,232,221 as per the given fractions.

LCM of 29,39,232,221 is 153816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,44,86,350

GCF of Fractions 5/29,44/39,86/232,350/221 is 1/153816

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

Greatest Common Factor of 5,44,86,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,44,86,350 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 5,44,86,350 . The biggest common factor number is the GCF number.
So the greatest common factor 5,44,86,350 is 1.

Lets's calculate LCM of 29,39,232,221

13 29, 39, 232, 221
29 29, 3, 232, 17
1, 3, 8, 17

∴ So the LCM of the given numbers is 13 x 29 x 1 x 3 x 8 x 17 = 153816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153816

Therefore, the GCF of Fractions 5/29,44/39,86/232,350/221 is 1/153816

Least Common Multiple of 29,39,232,221 with GCF Formula

Least Common Multiple of 29,39,232,221 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 29,39,232,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,39,232,221) = 1

common factors(in case of two or more numbers have common factors) = 377

GCF(29,39,232,221) x common factors =1 x 377 = 377

LCM(29,39,232,221) = ( 29 × 39 × 232 × 221 ) / 377

LCM(29,39,232,221) = 57988632 / 377

LCM(29,39,232,221) = 153816


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 5/29, 44/39, 86/232, 350/221

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 5/29, 44/39, 86/232, 350/221?

Answer: GCF of Numerators as per given numbers 5/29, 44/39, 86/232, 350/221 is

GCF of Numerators i.e. for 5,44,86,350 is 1

LCM of denominators i.e. for 29,39,232,221 is 153816.

Thus, GCF of Fractions is 1/153816.Finally, GCF of Fractions for 5/29, 44/39, 86/232, 350/221 is 1/153816.