How to Find GCF of 5086/431, 3098/5251?

GCF of 5086/431, 3098/5251

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 5086/431, 3098/5251 i.e 2/2263181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5086/431, 3098/5251.

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 5086/431,3098/5251?

Given fractions are 5086/431,3098/5251

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 5086/431,3098/5251, numerators are 5086,3098

Denominators are 431,5251

The GCF of 5086,3098 is 2 .

LCM of 431,5251 is 2263181.

The greatest common factor of 5086/431,3098/5251 = [GCF of 5086,3098]/[LCM of 431,5251]= 2/2263181

Therefore, the GCF of 5086/431,3098/5251 is 2/2263181.

Greatest Common Factor of 5086,3098

To find the highest common factor of 5086,3098, we have to find the factors of both numbers and list the highest common factor.

The factors of 5086 are 1, 2, 2543, 5086

The factors of 3098 are 1, 2, 1549, 3098

The HCF of 5086,3098 is 2.

Lets's calculate GCF of 5086,3098

Greatest Common Factor (GCF) of 5086,3098 By Common Division

2	5086, 3098
	2543, 1549

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

Greatest Common Factor of 5086,3098 By Matching Biggest Common Factor Method

Now, list down the factors of 5086

1,2,2543,5086

Now, list down the factors of 3098

1,2,1549,3098

Greatest Common Factor

We found the factors 5086,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 5086,3098 is 2.

Lets's calculate LCM of 431,5251

Lowest Common Multiple of 431,5251 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2263181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2263181

Therefore, the GCF of Fractions 5086/431,3098/5251 is 2/2263181

Least Common Multiple of 431,5251 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 431,5251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,5251) = 1

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

GCF(431,5251) x common factors =1 x 1 = 1

LCM(431,5251) = ( 431 × 5251 ) / 1

LCM(431,5251) = 2263181 / 1

LCM(431,5251) = 2263181

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FAQs on GCF of Fractions of 5086/431, 3098/5251

1. What is the HCF of 5086,3098?

The HCF of 5086,3098 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 5086/431, 3098/5251?

Answer: GCF of Numerators as per given numbers 5086/431, 3098/5251 is

GCF of Numerators i.e. for 5086,3098 is 2

LCM of denominators i.e. for 431,5251 is 2263181.

Thus, GCF of Fractions is 2/2263181.Finally, GCF of Fractions for 5086/431, 3098/5251 is 2/2263181.