LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 814/540, 993/540

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 814/540, 993/540 i.e 1/540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/540, 993/540.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 814/540,993/540?

Given fractions are 814/540,993/540

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 814/540,993/540, numerators are 814,993

Denominators are 540,540

The GCF of 814,993 is 1 .

LCM of 540,540 is 540.

The greatest common factor of 814/540,993/540 = [GCF of 814,993]/[LCM of 540,540]= 1/540

Therefore, the GCF of 814/540,993/540 is 1/540.

Greatest Common Factor of 814,993

To find the highest common factor of 814,993, we have to find the factors of both numbers and list the highest common factor.

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The factors of 993 are 1, 3, 331, 993

The HCF of 814,993 is 1.

Lets's calculate GCF of 814,993

Greatest Common Factor (GCF) of 814,993 By Common Division

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

Greatest Common Factor of 814,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,993 By Matching Biggest Common Factor Method

Now, list down the factors of 814

:

1,2,11,22,37,74,407,814

Now, list down the factors of 993

:

1,3,331,993

Greatest Common Factor

We found the factors 814,993 . The biggest common factor number is the GCF number.
So the greatest common factor 814,993 is 1.

Lets's calculate LCM of 540,540

Lowest Common Multiple of 540,540 using Common Division

2 540, 540
2 270, 270
3 135, 135
3 45, 45
3 15, 15
5 5, 5
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 1 x 1 = 540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540

Therefore, the GCF of Fractions 814/540,993/540 is 1/540

Least Common Multiple of 540,540 with GCF Formula

Least Common Multiple of 540,540 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 540,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,540) = 540

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

GCF(540,540) x common factors =540 x 1 = 540

LCM(540,540) = ( 540 × 540 ) / 540

LCM(540,540) = 291600 / 540

LCM(540,540) = 540


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 814/540, 993/540

1. What is the HCF of 814,993?

The HCF of 814,993 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 814/540, 993/540?

Answer: GCF of Numerators as per given numbers 814/540, 993/540 is

GCF of Numerators i.e. for 814,993 is 1

LCM of denominators i.e. for 540,540 is 540.

Thus, GCF of Fractions is 1/540.Finally, GCF of Fractions for 814/540, 993/540 is 1/540.