Greatest Common Factor of 512/241, 1474/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/241, 1474/216

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 512/241,1474/216

Given fractions are 512/241,1474/216

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 512,1474

Greatest Common Factor of Numerators i.e. GCF of 512,1474 is 2 .

LCM of Denominators means LCM of 241,216 as per the given fractions.

LCM of 241,216 is 52056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,1474

GCF of Fractions 512/241,1474/216 is 2/52056

2 512, 1474
256, 737

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

Greatest Common Factor of 512,1474 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,1474 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 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1,2,11,22,67,134,737,1474

Greatest Common Factor

We found the factors 512,1474 . The biggest common factor number is the GCF number.
So the greatest common factor 512,1474 is 2.

Lets's calculate LCM of 241,216

Given numbers has no common factors except 1. So, there LCM is their product i.e 52056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52056

Therefore, the GCF of Fractions 512/241,1474/216 is 2/52056

Least Common Multiple of 241,216 with GCF Formula

Least Common Multiple of 241,216 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 241,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,216) = 1

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

GCF(241,216) x common factors =1 x 1 = 1

LCM(241,216) = ( 241 × 216 ) / 1

LCM(241,216) = 52056 / 1

LCM(241,216) = 52056


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 512/241, 1474/216

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 512/241, 1474/216?

Answer: GCF of Numerators as per given numbers 512/241, 1474/216 is

GCF of Numerators i.e. for 512,1474 is 2

LCM of denominators i.e. for 241,216 is 52056.

Thus, GCF of Fractions is 2/52056.Finally, GCF of Fractions for 512/241, 1474/216 is 2/52056.