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GCF of 1831/518, 5010/5761

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 1831/518, 5010/5761 i.e 1/426314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1831/518, 5010/5761.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1831/518,5010/5761?

Given fractions are 1831/518,5010/5761

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 1831/518,5010/5761, numerators are 1831,5010

Denominators are 518,5761

The GCF of 1831,5010 is 1 .

LCM of 518,5761 is 426314.

The greatest common factor of 1831/518,5010/5761 = [GCF of 1831,5010]/[LCM of 518,5761]= 1/426314

Therefore, the GCF of 1831/518,5010/5761 is 1/426314.

Greatest Common Factor of 1831,5010

To find the highest common factor of 1831,5010, we have to find the factors of both numbers and list the highest common factor.

The factors of 1831 are 1, 1831

The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010

The HCF of 1831,5010 is 1.

Lets's calculate GCF of 1831,5010

Greatest Common Factor (GCF) of 1831,5010 By Common Division

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

Greatest Common Factor of 1831,5010 By Matching Biggest Common Factor Method

Greatest Common Factor of 1831,5010 By Matching Biggest Common Factor Method

Now, list down the factors of 1831

:

1,1831

Now, list down the factors of 5010

:

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Greatest Common Factor

We found the factors 1831,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 1831,5010 is 1.


Lets's calculate LCM of 518,5761

Lowest Common Multiple of 518,5761 using Common Division

7 518, 5761
74, 823

∴ So the LCM of the given numbers is 7 x 74 x 823 = 426314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426314

Therefore, the GCF of Fractions 1831/518,5010/5761 is 1/426314

Least Common Multiple of 518,5761 with GCF Formula

Least Common Multiple of 518,5761 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 518,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,5761) = 7

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

GCF(518,5761) x common factors =7 x 1 = 7

LCM(518,5761) = ( 518 × 5761 ) / 7

LCM(518,5761) = 2984198 / 7

LCM(518,5761) = 426314


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1831/518, 5010/5761

1. What is the HCF of 1831,5010?

The HCF of 1831,5010 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 1831/518, 5010/5761?

Answer: GCF of Numerators as per given numbers 1831/518, 5010/5761 is

GCF of Numerators i.e. for 1831,5010 is 1

LCM of denominators i.e. for 518,5761 is 426314.

Thus, GCF of Fractions is 1/426314.Finally, GCF of Fractions for 1831/518, 5010/5761 is 1/426314.