How to Find GCF of 5970/498, 4217/8191?

GCF of 5970/498, 4217/8191

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 5970/498, 4217/8191 i.e 1/4079118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5970/498, 4217/8191.

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 5970/498,4217/8191?

Given fractions are 5970/498,4217/8191

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 5970/498,4217/8191, numerators are 5970,4217

Denominators are 498,8191

The GCF of 5970,4217 is 1 .

LCM of 498,8191 is 4079118.

The greatest common factor of 5970/498,4217/8191 = [GCF of 5970,4217]/[LCM of 498,8191]= 1/4079118

Therefore, the GCF of 5970/498,4217/8191 is 1/4079118.

Greatest Common Factor of 5970,4217

To find the highest common factor of 5970,4217, we have to find the factors of both numbers and list the highest common factor.

The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970

The factors of 4217 are 1, 4217

The HCF of 5970,4217 is 1.

Lets's calculate GCF of 5970,4217

Greatest Common Factor (GCF) of 5970,4217 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5970,4217 By Matching Biggest Common Factor Method

Now, list down the factors of 5970

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Now, list down the factors of 4217

1,4217

Greatest Common Factor

We found the factors 5970,4217 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,4217 is 1.

Lets's calculate LCM of 498,8191

Lowest Common Multiple of 498,8191 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4079118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4079118

Therefore, the GCF of Fractions 5970/498,4217/8191 is 1/4079118

Least Common Multiple of 498,8191 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 498,8191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,8191) = 1

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

GCF(498,8191) x common factors =1 x 1 = 1

LCM(498,8191) = ( 498 × 8191 ) / 1

LCM(498,8191) = 4079118 / 1

LCM(498,8191) = 4079118

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5970/498, 4217/8191

1. What is the HCF of 5970,4217?

The HCF of 5970,4217 is 1

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 5970/498, 4217/8191?

Answer: GCF of Numerators as per given numbers 5970/498, 4217/8191 is

GCF of Numerators i.e. for 5970,4217 is 1

LCM of denominators i.e. for 498,8191 is 4079118.

Thus, GCF of Fractions is 1/4079118.Finally, GCF of Fractions for 5970/498, 4217/8191 is 1/4079118.