Greatest Common Factor of 44/241, 76/520, 784/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/241, 76/520, 784/563

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 44/241,76/520,784/563

Given fractions are 44/241,76/520,784/563

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 44,76,784

Greatest Common Factor of Numerators i.e. GCF of 44,76,784 is 4 .

LCM of Denominators means LCM of 241,520,563 as per the given fractions.

LCM of 241,520,563 is 70555160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,76,784

GCF of Fractions 44/241,76/520,784/563 is 4/70555160

2 44, 76, 784
2 22, 38, 392
11, 19, 196

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 44,76,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,76,784 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 44,76,784 . The biggest common factor number is the GCF number.
So the greatest common factor 44,76,784 is 4.

Lets's calculate LCM of 241,520,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 70555160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/70555160

Therefore, the GCF of Fractions 44/241,76/520,784/563 is 4/70555160

Least Common Multiple of 241,520,563 with GCF Formula

Least Common Multiple of 241,520,563 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 241,520,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,520,563) = 1

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

GCF(241,520,563) x common factors =1 x 1 = 1

LCM(241,520,563) = ( 241 × 520 × 563 ) / 1

LCM(241,520,563) = 70555160 / 1

LCM(241,520,563) = 70555160


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 44/241, 76/520, 784/563

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 44/241, 76/520, 784/563?

Answer: GCF of Numerators as per given numbers 44/241, 76/520, 784/563 is

GCF of Numerators i.e. for 44,76,784 is 4

LCM of denominators i.e. for 241,520,563 is 70555160.

Thus, GCF of Fractions is 4/70555160.Finally, GCF of Fractions for 44/241, 76/520, 784/563 is 4/70555160.