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 512/79, 230/983

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 512/79, 230/983 i.e 2/77657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/79, 230/983.

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 512/79,230/983?

Given fractions are 512/79,230/983

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 512/79,230/983, numerators are 512,230

Denominators are 79,983

The GCF of 512,230 is 2 .

LCM of 79,983 is 77657.

The greatest common factor of 512/79,230/983 = [GCF of 512,230]/[LCM of 79,983]= 2/77657

Therefore, the GCF of 512/79,230/983 is 2/77657.

Greatest Common Factor of 512,230

To find the highest common factor of 512,230, 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 230 are 1, 2, 5, 10, 23, 46, 115, 230

The HCF of 512,230 is 2.

Lets's calculate GCF of 512,230

Greatest Common Factor (GCF) of 512,230 By Common Division

2 512, 230
256, 115

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

Greatest Common Factor of 512,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,230 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 230

:

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 512,230 . The biggest common factor number is the GCF number.
So the greatest common factor 512,230 is 2.

Lets's calculate LCM of 79,983

Lowest Common Multiple of 79,983 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 77657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77657

Therefore, the GCF of Fractions 512/79,230/983 is 2/77657

Least Common Multiple of 79,983 with GCF Formula

Least Common Multiple of 79,983 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 79,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,983) = 1

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

GCF(79,983) x common factors =1 x 1 = 1

LCM(79,983) = ( 79 × 983 ) / 1

LCM(79,983) = 77657 / 1

LCM(79,983) = 77657


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 512/79, 230/983

1. What is the HCF of 512,230?

The HCF of 512,230 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 512/79, 230/983?

Answer: GCF of Numerators as per given numbers 512/79, 230/983 is

GCF of Numerators i.e. for 512,230 is 2

LCM of denominators i.e. for 79,983 is 77657.

Thus, GCF of Fractions is 2/77657.Finally, GCF of Fractions for 512/79, 230/983 is 2/77657.