Greatest Common Factor of 530/11, 231/44, 248/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 530/11, 231/44, 248/555

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 530/11,231/44,248/555

Given fractions are 530/11,231/44,248/555

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 530,231,248

Greatest Common Factor of Numerators i.e. GCF of 530,231,248 is 1 .

LCM of Denominators means LCM of 11,44,555 as per the given fractions.

LCM of 11,44,555 is 24420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 530,231,248

GCF of Fractions 530/11,231/44,248/555 is 1/24420

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

Greatest Common Factor of 530,231,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,231,248 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 530,231,248 . The biggest common factor number is the GCF number.
So the greatest common factor 530,231,248 is 1.

Lets's calculate LCM of 11,44,555

11 11, 44, 555
1, 4, 555

∴ So the LCM of the given numbers is 11 x 1 x 4 x 555 = 24420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24420

Therefore, the GCF of Fractions 530/11,231/44,248/555 is 1/24420

Least Common Multiple of 11,44,555 with GCF Formula

Least Common Multiple of 11,44,555 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 11,44,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,44,555) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,44,555) x common factors =1 x 11 = 11

LCM(11,44,555) = ( 11 × 44 × 555 ) / 11

LCM(11,44,555) = 268620 / 11

LCM(11,44,555) = 24420


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 530/11, 231/44, 248/555

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 530/11, 231/44, 248/555?

Answer: GCF of Numerators as per given numbers 530/11, 231/44, 248/555 is

GCF of Numerators i.e. for 530,231,248 is 1

LCM of denominators i.e. for 11,44,555 is 24420.

Thus, GCF of Fractions is 1/24420.Finally, GCF of Fractions for 530/11, 231/44, 248/555 is 1/24420.