How to Find GCF of 5098/342, 5227/8894?

GCF of 5098/342, 5227/8894

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 5098/342, 5227/8894 i.e 1/1520874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5098/342, 5227/8894.

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 5098/342,5227/8894?

Given fractions are 5098/342,5227/8894

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 5098/342,5227/8894, numerators are 5098,5227

Denominators are 342,8894

The GCF of 5098,5227 is 1 .

LCM of 342,8894 is 1520874.

The greatest common factor of 5098/342,5227/8894 = [GCF of 5098,5227]/[LCM of 342,8894]= 1/1520874

Therefore, the GCF of 5098/342,5227/8894 is 1/1520874.

Greatest Common Factor of 5098,5227

To find the highest common factor of 5098,5227, we have to find the factors of both numbers and list the highest common factor.

The factors of 5098 are 1, 2, 2549, 5098

The factors of 5227 are 1, 5227

The HCF of 5098,5227 is 1.

Lets's calculate GCF of 5098,5227

Greatest Common Factor (GCF) of 5098,5227 By Common Division

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

Greatest Common Factor of 5098,5227 By Matching Biggest Common Factor Method

Now, list down the factors of 5098

1,2,2549,5098

Now, list down the factors of 5227

1,5227

Greatest Common Factor

We found the factors 5098,5227 . The biggest common factor number is the GCF number.
So the greatest common factor 5098,5227 is 1.

Lets's calculate LCM of 342,8894

Lowest Common Multiple of 342,8894 using Common Division

2	342, 8894
	171, 4447

∴ So the LCM of the given numbers is 2 x 171 x 4447 = 1520874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520874

Therefore, the GCF of Fractions 5098/342,5227/8894 is 1/1520874

Least Common Multiple of 342,8894 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 342,8894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,8894) = 2

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

GCF(342,8894) x common factors =2 x 1 = 2

LCM(342,8894) = ( 342 × 8894 ) / 2

LCM(342,8894) = 3041748 / 2

LCM(342,8894) = 1520874

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FAQs on GCF of Fractions of 5098/342, 5227/8894

1. What is the HCF of 5098,5227?

The HCF of 5098,5227 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 5098/342, 5227/8894?

Answer: GCF of Numerators as per given numbers 5098/342, 5227/8894 is

GCF of Numerators i.e. for 5098,5227 is 1

LCM of denominators i.e. for 342,8894 is 1520874.

Thus, GCF of Fractions is 1/1520874.Finally, GCF of Fractions for 5098/342, 5227/8894 is 1/1520874.