How to Find GCF of 5258/638, 3101/4630?

GCF of 5258/638, 3101/4630

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 5258/638, 3101/4630 i.e 1/1476970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5258/638, 3101/4630.

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 5258/638,3101/4630?

Given fractions are 5258/638,3101/4630

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 5258/638,3101/4630, numerators are 5258,3101

Denominators are 638,4630

The GCF of 5258,3101 is 1 .

LCM of 638,4630 is 1476970.

The greatest common factor of 5258/638,3101/4630 = [GCF of 5258,3101]/[LCM of 638,4630]= 1/1476970

Therefore, the GCF of 5258/638,3101/4630 is 1/1476970.

Greatest Common Factor of 5258,3101

To find the highest common factor of 5258,3101, we have to find the factors of both numbers and list the highest common factor.

The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258

The factors of 3101 are 1, 7, 443, 3101

The HCF of 5258,3101 is 1.

Lets's calculate GCF of 5258,3101

Greatest Common Factor (GCF) of 5258,3101 By Common Division

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

Greatest Common Factor of 5258,3101 By Matching Biggest Common Factor Method

Now, list down the factors of 5258

1,2,11,22,239,478,2629,5258

Now, list down the factors of 3101

1,7,443,3101

Greatest Common Factor

We found the factors 5258,3101 . The biggest common factor number is the GCF number.
So the greatest common factor 5258,3101 is 1.

Lets's calculate LCM of 638,4630

Lowest Common Multiple of 638,4630 using Common Division

2	638, 4630
	319, 2315

∴ So the LCM of the given numbers is 2 x 319 x 2315 = 1476970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1476970

Therefore, the GCF of Fractions 5258/638,3101/4630 is 1/1476970

Least Common Multiple of 638,4630 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 638,4630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,4630) = 2

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

GCF(638,4630) x common factors =2 x 1 = 2

LCM(638,4630) = ( 638 × 4630 ) / 2

LCM(638,4630) = 2953940 / 2

LCM(638,4630) = 1476970

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FAQs on GCF of Fractions of 5258/638, 3101/4630

1. What is the HCF of 5258,3101?

The HCF of 5258,3101 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 5258/638, 3101/4630?

Answer: GCF of Numerators as per given numbers 5258/638, 3101/4630 is

GCF of Numerators i.e. for 5258,3101 is 1

LCM of denominators i.e. for 638,4630 is 1476970.

Thus, GCF of Fractions is 1/1476970.Finally, GCF of Fractions for 5258/638, 3101/4630 is 1/1476970.