Greatest Common Factor of 8213/863, 7459/4467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8213/863, 7459/4467

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 8213/863,7459/4467

Given fractions are 8213/863,7459/4467

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 8213,7459

Greatest Common Factor of Numerators i.e. GCF of 8213,7459 is 1 .

LCM of Denominators means LCM of 863,4467 as per the given fractions.

LCM of 863,4467 is 3855021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8213,7459

GCF of Fractions 8213/863,7459/4467 is 1/3855021

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

Greatest Common Factor of 8213,7459 By Matching Biggest Common Factor Method

Greatest Common Factor of 8213,7459 By Matching Biggest Common Factor Method

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1,43,191,8213

Factors of 7459

List of positive integer factors of 7459 that divides 7459 without a remainder.

1,7459

Greatest Common Factor

We found the factors 8213,7459 . The biggest common factor number is the GCF number.
So the greatest common factor 8213,7459 is 1.

Lets's calculate LCM of 863,4467

Given numbers has no common factors except 1. So, there LCM is their product i.e 3855021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3855021

Therefore, the GCF of Fractions 8213/863,7459/4467 is 1/3855021

Least Common Multiple of 863,4467 with GCF Formula

Least Common Multiple of 863,4467 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 863,4467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,4467) = 1

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

GCF(863,4467) x common factors =1 x 1 = 1

LCM(863,4467) = ( 863 × 4467 ) / 1

LCM(863,4467) = 3855021 / 1

LCM(863,4467) = 3855021


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 8213/863, 7459/4467

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 8213/863, 7459/4467?

Answer: GCF of Numerators as per given numbers 8213/863, 7459/4467 is

GCF of Numerators i.e. for 8213,7459 is 1

LCM of denominators i.e. for 863,4467 is 3855021.

Thus, GCF of Fractions is 1/3855021.Finally, GCF of Fractions for 8213/863, 7459/4467 is 1/3855021.