Greatest Common Factor of 512/467, 712/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/467, 712/245

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 512/467,712/245

Given fractions are 512/467,712/245

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 512,712

Greatest Common Factor of Numerators i.e. GCF of 512,712 is 8 .

LCM of Denominators means LCM of 467,245 as per the given fractions.

LCM of 467,245 is 114415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,712

GCF of Fractions 512/467,712/245 is 8/114415

2 512, 712
2 256, 356
2 128, 178
64, 89

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 512,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,712 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

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

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 512,712 . The biggest common factor number is the GCF number.
So the greatest common factor 512,712 is 8.

Lets's calculate LCM of 467,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 114415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/114415

Therefore, the GCF of Fractions 512/467,712/245 is 8/114415

Least Common Multiple of 467,245 with GCF Formula

Least Common Multiple of 467,245 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 467,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,245) = 1

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

GCF(467,245) x common factors =1 x 1 = 1

LCM(467,245) = ( 467 × 245 ) / 1

LCM(467,245) = 114415 / 1

LCM(467,245) = 114415


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 512/467, 712/245

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 512/467, 712/245?

Answer: GCF of Numerators as per given numbers 512/467, 712/245 is

GCF of Numerators i.e. for 512,712 is 8

LCM of denominators i.e. for 467,245 is 114415.

Thus, GCF of Fractions is 8/114415.Finally, GCF of Fractions for 512/467, 712/245 is 8/114415.