Greatest Common Factor of 7441/819, 5812/1420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7441/819, 5812/1420

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 7441/819,5812/1420

Given fractions are 7441/819,5812/1420

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 7441,5812

Greatest Common Factor of Numerators i.e. GCF of 7441,5812 is 1 .

LCM of Denominators means LCM of 819,1420 as per the given fractions.

LCM of 819,1420 is 1162980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7441,5812

GCF of Fractions 7441/819,5812/1420 is 1/1162980

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

Greatest Common Factor of 7441,5812 By Matching Biggest Common Factor Method

Greatest Common Factor of 7441,5812 By Matching Biggest Common Factor Method

Factors of 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1,7,1063,7441

Factors of 5812

List of positive integer factors of 5812 that divides 5812 without a remainder.

1,2,4,1453,2906,5812

Greatest Common Factor

We found the factors 7441,5812 . The biggest common factor number is the GCF number.
So the greatest common factor 7441,5812 is 1.

Lets's calculate LCM of 819,1420

Given numbers has no common factors except 1. So, there LCM is their product i.e 1162980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1162980

Therefore, the GCF of Fractions 7441/819,5812/1420 is 1/1162980

Least Common Multiple of 819,1420 with GCF Formula

Least Common Multiple of 819,1420 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 819,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,1420) = 1

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

GCF(819,1420) x common factors =1 x 1 = 1

LCM(819,1420) = ( 819 × 1420 ) / 1

LCM(819,1420) = 1162980 / 1

LCM(819,1420) = 1162980


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 7441/819, 5812/1420

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 7441/819, 5812/1420?

Answer: GCF of Numerators as per given numbers 7441/819, 5812/1420 is

GCF of Numerators i.e. for 7441,5812 is 1

LCM of denominators i.e. for 819,1420 is 1162980.

Thus, GCF of Fractions is 1/1162980.Finally, GCF of Fractions for 7441/819, 5812/1420 is 1/1162980.