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 305/540, 457/684

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 305/540, 457/684 i.e 1/10260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 305/540, 457/684.

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 305/540,457/684?

Given fractions are 305/540,457/684

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 305/540,457/684, numerators are 305,457

Denominators are 540,684

The GCF of 305,457 is 1 .

LCM of 540,684 is 10260.

The greatest common factor of 305/540,457/684 = [GCF of 305,457]/[LCM of 540,684]= 1/10260

Therefore, the GCF of 305/540,457/684 is 1/10260.

Greatest Common Factor of 305,457

To find the highest common factor of 305,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 305 are 1, 5, 61, 305

The factors of 457 are 1, 457

The HCF of 305,457 is 1.

Lets's calculate GCF of 305,457

Greatest Common Factor (GCF) of 305,457 By Common Division

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

Greatest Common Factor of 305,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,457 By Matching Biggest Common Factor Method

Now, list down the factors of 305

:

1,5,61,305

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 305,457 . The biggest common factor number is the GCF number.
So the greatest common factor 305,457 is 1.

Lets's calculate LCM of 540,684

Lowest Common Multiple of 540,684 using Common Division

2 540, 684
2 270, 342
3 135, 171
3 45, 57
15, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 15 x 19 = 10260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10260

Therefore, the GCF of Fractions 305/540,457/684 is 1/10260

Least Common Multiple of 540,684 with GCF Formula

Least Common Multiple of 540,684 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 540,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,684) = 36

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

GCF(540,684) x common factors =36 x 1 = 36

LCM(540,684) = ( 540 × 684 ) / 36

LCM(540,684) = 369360 / 36

LCM(540,684) = 10260


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 305/540, 457/684

1. What is the HCF of 305,457?

The HCF of 305,457 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 305/540, 457/684?

Answer: GCF of Numerators as per given numbers 305/540, 457/684 is

GCF of Numerators i.e. for 305,457 is 1

LCM of denominators i.e. for 540,684 is 10260.

Thus, GCF of Fractions is 1/10260.Finally, GCF of Fractions for 305/540, 457/684 is 1/10260.