How to Find GCF of 146/444, 5198/996?

GCF of 146/444, 5198/996

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 146/444, 5198/996 i.e 2/36852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/444, 5198/996.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 146/444,5198/996?

Given fractions are 146/444,5198/996

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 146/444,5198/996, numerators are 146,5198

Denominators are 444,996

The GCF of 146,5198 is 2 .

LCM of 444,996 is 36852.

The greatest common factor of 146/444,5198/996 = [GCF of 146,5198]/[LCM of 444,996]= 2/36852

Therefore, the GCF of 146/444,5198/996 is 2/36852.

Greatest Common Factor of 146,5198

To find the highest common factor of 146,5198, we have to find the factors of both numbers and list the highest common factor.

The factors of 146 are 1, 2, 73, 146

The factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198

The HCF of 146,5198 is 2.

Lets's calculate GCF of 146,5198

Greatest Common Factor (GCF) of 146,5198 By Common Division

2	146, 5198
	73, 2599

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

Greatest Common Factor of 146,5198 By Matching Biggest Common Factor Method

Now, list down the factors of 146

1,2,73,146

Now, list down the factors of 5198

1,2,23,46,113,226,2599,5198

Greatest Common Factor

We found the factors 146,5198 . The biggest common factor number is the GCF number.
So the greatest common factor 146,5198 is 2.

Lets's calculate LCM of 444,996

Lowest Common Multiple of 444,996 using Common Division

2	444, 996
2	222, 498
3	111, 249
	37, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 83 = 36852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36852

Therefore, the GCF of Fractions 146/444,5198/996 is 2/36852

Least Common Multiple of 444,996 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 444,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,996) = 12

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

GCF(444,996) x common factors =12 x 1 = 12

LCM(444,996) = ( 444 × 996 ) / 12

LCM(444,996) = 442224 / 12

LCM(444,996) = 36852

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 146/444, 5198/996

1. What is the HCF of 146,5198?

The HCF of 146,5198 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 146/444, 5198/996?

Answer: GCF of Numerators as per given numbers 146/444, 5198/996 is

GCF of Numerators i.e. for 146,5198 is 2

LCM of denominators i.e. for 444,996 is 36852.

Thus, GCF of Fractions is 2/36852.Finally, GCF of Fractions for 146/444, 5198/996 is 2/36852.