Greatest Common Factor of 44/597, 440/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/597, 440/252

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 44/597,440/252

Given fractions are 44/597,440/252

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 44,440

Greatest Common Factor of Numerators i.e. GCF of 44,440 is 44 .

LCM of Denominators means LCM of 597,252 as per the given fractions.

LCM of 597,252 is 50148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,440

GCF of Fractions 44/597,440/252 is 44/50148

2 44, 440
2 22, 220
11 11, 110
1, 10

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 44,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,440 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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 44,440 . The biggest common factor number is the GCF number.
So the greatest common factor 44,440 is 44.

Lets's calculate LCM of 597,252

3 597, 252
199, 84

∴ So the LCM of the given numbers is 3 x 199 x 84 = 50148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/50148

Therefore, the GCF of Fractions 44/597,440/252 is 44/50148

Least Common Multiple of 597,252 with GCF Formula

Least Common Multiple of 597,252 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 597,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,252) = 3

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

GCF(597,252) x common factors =3 x 1 = 3

LCM(597,252) = ( 597 × 252 ) / 3

LCM(597,252) = 150444 / 3

LCM(597,252) = 50148


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 44/597, 440/252

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 44/597, 440/252?

Answer: GCF of Numerators as per given numbers 44/597, 440/252 is

GCF of Numerators i.e. for 44,440 is 44

LCM of denominators i.e. for 597,252 is 50148.

Thus, GCF of Fractions is 44/50148.Finally, GCF of Fractions for 44/597, 440/252 is 44/50148.