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 512/22, 730/313

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 512/22, 730/313 i.e 2/6886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/22, 730/313.

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 512/22,730/313?

Given fractions are 512/22,730/313

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 512/22,730/313, numerators are 512,730

Denominators are 22,313

The GCF of 512,730 is 2 .

LCM of 22,313 is 6886.

The greatest common factor of 512/22,730/313 = [GCF of 512,730]/[LCM of 22,313]= 2/6886

Therefore, the GCF of 512/22,730/313 is 2/6886.

Greatest Common Factor of 512,730

To find the highest common factor of 512,730, we have to find the factors of both numbers and list the highest common factor.

The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730

The HCF of 512,730 is 2.

Lets's calculate GCF of 512,730

Greatest Common Factor (GCF) of 512,730 By Common Division

2 512, 730
256, 365

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 512,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,730 By Matching Biggest Common Factor Method

Now, list down the factors of 512

:

1,2,4,8,16,32,64,128,256,512

Now, list down the factors of 730

:

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 512,730 . The biggest common factor number is the GCF number.
So the greatest common factor 512,730 is 2.

Lets's calculate LCM of 22,313

Lowest Common Multiple of 22,313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6886

Therefore, the GCF of Fractions 512/22,730/313 is 2/6886

Least Common Multiple of 22,313 with GCF Formula

Least Common Multiple of 22,313 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 22,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,313) = 1

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

GCF(22,313) x common factors =1 x 1 = 1

LCM(22,313) = ( 22 × 313 ) / 1

LCM(22,313) = 6886 / 1

LCM(22,313) = 6886


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 512/22, 730/313

1. What is the HCF of 512,730?

The HCF of 512,730 is 2

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 512/22, 730/313?

Answer: GCF of Numerators as per given numbers 512/22, 730/313 is

GCF of Numerators i.e. for 512,730 is 2

LCM of denominators i.e. for 22,313 is 6886.

Thus, GCF of Fractions is 2/6886.Finally, GCF of Fractions for 512/22, 730/313 is 2/6886.