How to Find GCF of 4198/488, 6422/5721?

GCF of 4198/488, 6422/5721

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 4198/488, 6422/5721 i.e 2/2791848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4198/488, 6422/5721.

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 4198/488,6422/5721?

Given fractions are 4198/488,6422/5721

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 4198/488,6422/5721, numerators are 4198,6422

Denominators are 488,5721

The GCF of 4198,6422 is 2 .

LCM of 488,5721 is 2791848.

The greatest common factor of 4198/488,6422/5721 = [GCF of 4198,6422]/[LCM of 488,5721]= 2/2791848

Therefore, the GCF of 4198/488,6422/5721 is 2/2791848.

Greatest Common Factor of 4198,6422

To find the highest common factor of 4198,6422, we have to find the factors of both numbers and list the highest common factor.

The factors of 4198 are 1, 2, 2099, 4198

The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422

The HCF of 4198,6422 is 2.

Lets's calculate GCF of 4198,6422

Greatest Common Factor (GCF) of 4198,6422 By Common Division

2	4198, 6422
	2099, 3211

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

Greatest Common Factor of 4198,6422 By Matching Biggest Common Factor Method

Now, list down the factors of 4198

1,2,2099,4198

Now, list down the factors of 6422

1,2,13,19,26,38,169,247,338,494,3211,6422

Greatest Common Factor

We found the factors 4198,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 4198,6422 is 2.

Lets's calculate LCM of 488,5721

Lowest Common Multiple of 488,5721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2791848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2791848

Therefore, the GCF of Fractions 4198/488,6422/5721 is 2/2791848

Least Common Multiple of 488,5721 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 488,5721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,5721) = 1

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

GCF(488,5721) x common factors =1 x 1 = 1

LCM(488,5721) = ( 488 × 5721 ) / 1

LCM(488,5721) = 2791848 / 1

LCM(488,5721) = 2791848

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FAQs on GCF of Fractions of 4198/488, 6422/5721

1. What is the HCF of 4198,6422?

The HCF of 4198,6422 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 4198/488, 6422/5721?

Answer: GCF of Numerators as per given numbers 4198/488, 6422/5721 is

GCF of Numerators i.e. for 4198,6422 is 2

LCM of denominators i.e. for 488,5721 is 2791848.

Thus, GCF of Fractions is 2/2791848.Finally, GCF of Fractions for 4198/488, 6422/5721 is 2/2791848.