How to Find GCF of 5338/614, 5146/9333?

GCF of 5338/614, 5146/9333

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 5338/614, 5146/9333 i.e 2/5730462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5338/614, 5146/9333.

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 5338/614,5146/9333?

Given fractions are 5338/614,5146/9333

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 5338/614,5146/9333, numerators are 5338,5146

Denominators are 614,9333

The GCF of 5338,5146 is 2 .

LCM of 614,9333 is 5730462.

The greatest common factor of 5338/614,5146/9333 = [GCF of 5338,5146]/[LCM of 614,9333]= 2/5730462

Therefore, the GCF of 5338/614,5146/9333 is 2/5730462.

Greatest Common Factor of 5338,5146

To find the highest common factor of 5338,5146, we have to find the factors of both numbers and list the highest common factor.

The factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338

The factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146

The HCF of 5338,5146 is 2.

Lets's calculate GCF of 5338,5146

Greatest Common Factor (GCF) of 5338,5146 By Common Division

2	5338, 5146
	2669, 2573

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

Greatest Common Factor of 5338,5146 By Matching Biggest Common Factor Method

Now, list down the factors of 5338

1,2,17,34,157,314,2669,5338

Now, list down the factors of 5146

1,2,31,62,83,166,2573,5146

Greatest Common Factor

We found the factors 5338,5146 . The biggest common factor number is the GCF number.
So the greatest common factor 5338,5146 is 2.

Lets's calculate LCM of 614,9333

Lowest Common Multiple of 614,9333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5730462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5730462

Therefore, the GCF of Fractions 5338/614,5146/9333 is 2/5730462

Least Common Multiple of 614,9333 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 614,9333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,9333) = 1

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

GCF(614,9333) x common factors =1 x 1 = 1

LCM(614,9333) = ( 614 × 9333 ) / 1

LCM(614,9333) = 5730462 / 1

LCM(614,9333) = 5730462

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5338/614, 5146/9333

1. What is the HCF of 5338,5146?

The HCF of 5338,5146 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 5338/614, 5146/9333?

Answer: GCF of Numerators as per given numbers 5338/614, 5146/9333 is

GCF of Numerators i.e. for 5338,5146 is 2

LCM of denominators i.e. for 614,9333 is 5730462.

Thus, GCF of Fractions is 2/5730462.Finally, GCF of Fractions for 5338/614, 5146/9333 is 2/5730462.