Greatest Common Factor of 5836/310, 8126/9690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5836/310, 8126/9690

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 5836/310,8126/9690

Given fractions are 5836/310,8126/9690

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 5836,8126

Greatest Common Factor of Numerators i.e. GCF of 5836,8126 is 2 .

LCM of Denominators means LCM of 310,9690 as per the given fractions.

LCM of 310,9690 is 300390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5836,8126

GCF of Fractions 5836/310,8126/9690 is 2/300390

2 5836, 8126
2918, 4063

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

Greatest Common Factor of 5836,8126 By Matching Biggest Common Factor Method

Greatest Common Factor of 5836,8126 By Matching Biggest Common Factor Method

Factors of 5836

List of positive integer factors of 5836 that divides 5836 without a remainder.

1,2,4,1459,2918,5836

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Greatest Common Factor

We found the factors 5836,8126 . The biggest common factor number is the GCF number.
So the greatest common factor 5836,8126 is 2.

Lets's calculate LCM of 310,9690

2 310, 9690
5 155, 4845
31, 969

∴ So the LCM of the given numbers is 2 x 5 x 31 x 969 = 300390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300390

Therefore, the GCF of Fractions 5836/310,8126/9690 is 2/300390

Least Common Multiple of 310,9690 with GCF Formula

Least Common Multiple of 310,9690 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 310,9690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,9690) = 10

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

GCF(310,9690) x common factors =10 x 1 = 10

LCM(310,9690) = ( 310 × 9690 ) / 10

LCM(310,9690) = 3003900 / 10

LCM(310,9690) = 300390


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 5836/310, 8126/9690

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 5836/310, 8126/9690?

Answer: GCF of Numerators as per given numbers 5836/310, 8126/9690 is

GCF of Numerators i.e. for 5836,8126 is 2

LCM of denominators i.e. for 310,9690 is 300390.

Thus, GCF of Fractions is 2/300390.Finally, GCF of Fractions for 5836/310, 8126/9690 is 2/300390.