How to Find GCF of 5406/198, 3028/4944?

GCF of 5406/198, 3028/4944

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 5406/198, 3028/4944 i.e 2/163152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5406/198, 3028/4944.

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 5406/198,3028/4944?

Given fractions are 5406/198,3028/4944

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 5406/198,3028/4944, numerators are 5406,3028

Denominators are 198,4944

The GCF of 5406,3028 is 2 .

LCM of 198,4944 is 163152.

The greatest common factor of 5406/198,3028/4944 = [GCF of 5406,3028]/[LCM of 198,4944]= 2/163152

Therefore, the GCF of 5406/198,3028/4944 is 2/163152.

Greatest Common Factor of 5406,3028

To find the highest common factor of 5406,3028, we have to find the factors of both numbers and list the highest common factor.

The factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406

The factors of 3028 are 1, 2, 4, 757, 1514, 3028

The HCF of 5406,3028 is 2.

Lets's calculate GCF of 5406,3028

Greatest Common Factor (GCF) of 5406,3028 By Common Division

2	5406, 3028
	2703, 1514

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

Greatest Common Factor of 5406,3028 By Matching Biggest Common Factor Method

Now, list down the factors of 5406

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Now, list down the factors of 3028

1,2,4,757,1514,3028

Greatest Common Factor

We found the factors 5406,3028 . The biggest common factor number is the GCF number.
So the greatest common factor 5406,3028 is 2.

Lets's calculate LCM of 198,4944

Lowest Common Multiple of 198,4944 using Common Division

2	198, 4944
3	99, 2472
	33, 824

∴ So the LCM of the given numbers is 2 x 3 x 33 x 824 = 163152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/163152

Therefore, the GCF of Fractions 5406/198,3028/4944 is 2/163152

Least Common Multiple of 198,4944 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 198,4944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,4944) = 6

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

GCF(198,4944) x common factors =6 x 1 = 6

LCM(198,4944) = ( 198 × 4944 ) / 6

LCM(198,4944) = 978912 / 6

LCM(198,4944) = 163152

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5406/198, 3028/4944

1. What is the HCF of 5406,3028?

The HCF of 5406,3028 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 5406/198, 3028/4944?

Answer: GCF of Numerators as per given numbers 5406/198, 3028/4944 is

GCF of Numerators i.e. for 5406,3028 is 2

LCM of denominators i.e. for 198,4944 is 163152.

Thus, GCF of Fractions is 2/163152.Finally, GCF of Fractions for 5406/198, 3028/4944 is 2/163152.