How to Find GCF of 5198/117, 4222/1388?

GCF of 5198/117, 4222/1388

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 5198/117, 4222/1388 i.e 2/162396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5198/117, 4222/1388.

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 5198/117,4222/1388?

Given fractions are 5198/117,4222/1388

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 5198/117,4222/1388, numerators are 5198,4222

Denominators are 117,1388

The GCF of 5198,4222 is 2 .

LCM of 117,1388 is 162396.

The greatest common factor of 5198/117,4222/1388 = [GCF of 5198,4222]/[LCM of 117,1388]= 2/162396

Therefore, the GCF of 5198/117,4222/1388 is 2/162396.

Greatest Common Factor of 5198,4222

To find the highest common factor of 5198,4222, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 4222 are 1, 2, 2111, 4222

The HCF of 5198,4222 is 2.

Lets's calculate GCF of 5198,4222

Greatest Common Factor (GCF) of 5198,4222 By Common Division

2	5198, 4222
	2599, 2111

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

Greatest Common Factor of 5198,4222 By Matching Biggest Common Factor Method

Now, list down the factors of 5198

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

Now, list down the factors of 4222

1,2,2111,4222

Greatest Common Factor

We found the factors 5198,4222 . The biggest common factor number is the GCF number.
So the greatest common factor 5198,4222 is 2.

Lets's calculate LCM of 117,1388

Lowest Common Multiple of 117,1388 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 162396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162396

Therefore, the GCF of Fractions 5198/117,4222/1388 is 2/162396

Least Common Multiple of 117,1388 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 117,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,1388) = 1

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

GCF(117,1388) x common factors =1 x 1 = 1

LCM(117,1388) = ( 117 × 1388 ) / 1

LCM(117,1388) = 162396 / 1

LCM(117,1388) = 162396

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5198/117, 4222/1388

1. What is the HCF of 5198,4222?

The HCF of 5198,4222 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 5198/117, 4222/1388?

Answer: GCF of Numerators as per given numbers 5198/117, 4222/1388 is

GCF of Numerators i.e. for 5198,4222 is 2

LCM of denominators i.e. for 117,1388 is 162396.

Thus, GCF of Fractions is 2/162396.Finally, GCF of Fractions for 5198/117, 4222/1388 is 2/162396.