Greatest Common Factor of 1458/814, 8013/7544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1458/814, 8013/7544

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 1458/814,8013/7544

Given fractions are 1458/814,8013/7544

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 1458,8013

Greatest Common Factor of Numerators i.e. GCF of 1458,8013 is 3 .

LCM of Denominators means LCM of 814,7544 as per the given fractions.

LCM of 814,7544 is 3070408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1458,8013

GCF of Fractions 1458/814,8013/7544 is 3/3070408

3 1458, 8013
486, 2671

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1458,8013 By Matching Biggest Common Factor Method

Greatest Common Factor of 1458,8013 By Matching Biggest Common Factor Method

Factors of 1458

List of positive integer factors of 1458 that divides 1458 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458

Factors of 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1,3,2671,8013

Greatest Common Factor

We found the factors 1458,8013 . The biggest common factor number is the GCF number.
So the greatest common factor 1458,8013 is 3.

Lets's calculate LCM of 814,7544

2 814, 7544
407, 3772

∴ So the LCM of the given numbers is 2 x 407 x 3772 = 3070408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3070408

Therefore, the GCF of Fractions 1458/814,8013/7544 is 3/3070408

Least Common Multiple of 814,7544 with GCF Formula

Least Common Multiple of 814,7544 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 814,7544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,7544) = 2

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

GCF(814,7544) x common factors =2 x 1 = 2

LCM(814,7544) = ( 814 × 7544 ) / 2

LCM(814,7544) = 6140816 / 2

LCM(814,7544) = 3070408


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 1458/814, 8013/7544

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 1458/814, 8013/7544?

Answer: GCF of Numerators as per given numbers 1458/814, 8013/7544 is

GCF of Numerators i.e. for 1458,8013 is 3

LCM of denominators i.e. for 814,7544 is 3070408.

Thus, GCF of Fractions is 3/3070408.Finally, GCF of Fractions for 1458/814, 8013/7544 is 3/3070408.