Greatest Common Factor of 5838/71, 8030/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5838/71, 8030/302

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 5838/71,8030/302

Given fractions are 5838/71,8030/302

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 5838,8030

Greatest Common Factor of Numerators i.e. GCF of 5838,8030 is 2 .

LCM of Denominators means LCM of 71,302 as per the given fractions.

LCM of 71,302 is 21442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5838,8030

GCF of Fractions 5838/71,8030/302 is 2/21442

2 5838, 8030
2919, 4015

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5838,8030 By Matching Biggest Common Factor Method

Greatest Common Factor of 5838,8030 By Matching Biggest Common Factor Method

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Greatest Common Factor

We found the factors 5838,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 5838,8030 is 2.

Lets's calculate LCM of 71,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 21442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21442

Therefore, the GCF of Fractions 5838/71,8030/302 is 2/21442

Least Common Multiple of 71,302 with GCF Formula

Least Common Multiple of 71,302 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 71,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,302) = 1

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

GCF(71,302) x common factors =1 x 1 = 1

LCM(71,302) = ( 71 × 302 ) / 1

LCM(71,302) = 21442 / 1

LCM(71,302) = 21442


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 5838/71, 8030/302

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 5838/71, 8030/302?

Answer: GCF of Numerators as per given numbers 5838/71, 8030/302 is

GCF of Numerators i.e. for 5838,8030 is 2

LCM of denominators i.e. for 71,302 is 21442.

Thus, GCF of Fractions is 2/21442.Finally, GCF of Fractions for 5838/71, 8030/302 is 2/21442.