Greatest Common Factor of 413/29, 942/5080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/29, 942/5080

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 413/29,942/5080

Given fractions are 413/29,942/5080

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 413,942

Greatest Common Factor of Numerators i.e. GCF of 413,942 is 1 .

LCM of Denominators means LCM of 29,5080 as per the given fractions.

LCM of 29,5080 is 147320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,942

GCF of Fractions 413/29,942/5080 is 1/147320

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

Greatest Common Factor of 413,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,942 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 413,942 . The biggest common factor number is the GCF number.
So the greatest common factor 413,942 is 1.

Lets's calculate LCM of 29,5080

Given numbers has no common factors except 1. So, there LCM is their product i.e 147320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147320

Therefore, the GCF of Fractions 413/29,942/5080 is 1/147320

Least Common Multiple of 29,5080 with GCF Formula

Least Common Multiple of 29,5080 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 29,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,5080) = 1

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

GCF(29,5080) x common factors =1 x 1 = 1

LCM(29,5080) = ( 29 × 5080 ) / 1

LCM(29,5080) = 147320 / 1

LCM(29,5080) = 147320


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 413/29, 942/5080

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 413/29, 942/5080?

Answer: GCF of Numerators as per given numbers 413/29, 942/5080 is

GCF of Numerators i.e. for 413,942 is 1

LCM of denominators i.e. for 29,5080 is 147320.

Thus, GCF of Fractions is 1/147320.Finally, GCF of Fractions for 413/29, 942/5080 is 1/147320.