Greatest Common Factor of 5845/830, 6712/9981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5845/830, 6712/9981

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 5845/830,6712/9981

Given fractions are 5845/830,6712/9981

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 5845,6712

Greatest Common Factor of Numerators i.e. GCF of 5845,6712 is 1 .

LCM of Denominators means LCM of 830,9981 as per the given fractions.

LCM of 830,9981 is 8284230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5845,6712

GCF of Fractions 5845/830,6712/9981 is 1/8284230

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

Greatest Common Factor of 5845,6712 By Matching Biggest Common Factor Method

Greatest Common Factor of 5845,6712 By Matching Biggest Common Factor Method

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1,5,7,35,167,835,1169,5845

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1,2,4,8,839,1678,3356,6712

Greatest Common Factor

We found the factors 5845,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 5845,6712 is 1.

Lets's calculate LCM of 830,9981

Given numbers has no common factors except 1. So, there LCM is their product i.e 8284230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8284230

Therefore, the GCF of Fractions 5845/830,6712/9981 is 1/8284230

Least Common Multiple of 830,9981 with GCF Formula

Least Common Multiple of 830,9981 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 830,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,9981) = 1

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

GCF(830,9981) x common factors =1 x 1 = 1

LCM(830,9981) = ( 830 × 9981 ) / 1

LCM(830,9981) = 8284230 / 1

LCM(830,9981) = 8284230


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 5845/830, 6712/9981

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 5845/830, 6712/9981?

Answer: GCF of Numerators as per given numbers 5845/830, 6712/9981 is

GCF of Numerators i.e. for 5845,6712 is 1

LCM of denominators i.e. for 830,9981 is 8284230.

Thus, GCF of Fractions is 1/8284230.Finally, GCF of Fractions for 5845/830, 6712/9981 is 1/8284230.