Greatest Common Factor of 5810/20, 8434/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5810/20, 8434/986

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 5810/20,8434/986

Given fractions are 5810/20,8434/986

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 5810,8434

Greatest Common Factor of Numerators i.e. GCF of 5810,8434 is 2 .

LCM of Denominators means LCM of 20,986 as per the given fractions.

LCM of 20,986 is 9860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5810,8434

GCF of Fractions 5810/20,8434/986 is 2/9860

2 5810, 8434
2905, 4217

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

Greatest Common Factor of 5810,8434 By Matching Biggest Common Factor Method

Greatest Common Factor of 5810,8434 By Matching Biggest Common Factor Method

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810

Factors of 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1,2,4217,8434

Greatest Common Factor

We found the factors 5810,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 5810,8434 is 2.

Lets's calculate LCM of 20,986

2 20, 986
10, 493

∴ So the LCM of the given numbers is 2 x 10 x 493 = 9860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9860

Therefore, the GCF of Fractions 5810/20,8434/986 is 2/9860

Least Common Multiple of 20,986 with GCF Formula

Least Common Multiple of 20,986 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 20,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,986) = 2

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

GCF(20,986) x common factors =2 x 1 = 2

LCM(20,986) = ( 20 × 986 ) / 2

LCM(20,986) = 19720 / 2

LCM(20,986) = 9860


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 5810/20, 8434/986

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 5810/20, 8434/986?

Answer: GCF of Numerators as per given numbers 5810/20, 8434/986 is

GCF of Numerators i.e. for 5810,8434 is 2

LCM of denominators i.e. for 20,986 is 9860.

Thus, GCF of Fractions is 2/9860.Finally, GCF of Fractions for 5810/20, 8434/986 is 2/9860.