Greatest Common Factor of 8447/421, 4742/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8447/421, 4742/499

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 8447/421,4742/499

Given fractions are 8447/421,4742/499

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 8447,4742

Greatest Common Factor of Numerators i.e. GCF of 8447,4742 is 1 .

LCM of Denominators means LCM of 421,499 as per the given fractions.

LCM of 421,499 is 210079 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8447,4742

GCF of Fractions 8447/421,4742/499 is 1/210079

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

Greatest Common Factor of 8447,4742 By Matching Biggest Common Factor Method

Greatest Common Factor of 8447,4742 By Matching Biggest Common Factor Method

Factors of 8447

List of positive integer factors of 8447 that divides 8447 without a remainder.

1,8447

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Greatest Common Factor

We found the factors 8447,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 8447,4742 is 1.

Lets's calculate LCM of 421,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 210079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210079

Therefore, the GCF of Fractions 8447/421,4742/499 is 1/210079

Least Common Multiple of 421,499 with GCF Formula

Least Common Multiple of 421,499 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 421,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,499) = 1

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

GCF(421,499) x common factors =1 x 1 = 1

LCM(421,499) = ( 421 × 499 ) / 1

LCM(421,499) = 210079 / 1

LCM(421,499) = 210079


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 8447/421, 4742/499

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 8447/421, 4742/499?

Answer: GCF of Numerators as per given numbers 8447/421, 4742/499 is

GCF of Numerators i.e. for 8447,4742 is 1

LCM of denominators i.e. for 421,499 is 210079.

Thus, GCF of Fractions is 1/210079.Finally, GCF of Fractions for 8447/421, 4742/499 is 1/210079.