Greatest Common Factor of 5087/306, 1525/1014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5087/306, 1525/1014

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5087/306,1525/1014

Given fractions are 5087/306,1525/1014

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5087,1525

Greatest Common Factor of Numerators i.e. GCF of 5087,1525 is 1 .

LCM of Denominators means LCM of 306,1014 as per the given fractions.

LCM of 306,1014 is 51714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5087,1525

GCF of Fractions 5087/306,1525/1014 is 1/51714

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

Greatest Common Factor of 5087,1525 By Matching Biggest Common Factor Method

Greatest Common Factor of 5087,1525 By Matching Biggest Common Factor Method

Factors of 5087

List of positive integer factors of 5087 that divides 5087 without a remainder.

1,5087

Factors of 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1,5,25,61,305,1525

Greatest Common Factor

We found the factors 5087,1525 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,1525 is 1.

Lets's calculate LCM of 306,1014

2 306, 1014
3 153, 507
51, 169

∴ So the LCM of the given numbers is 2 x 3 x 51 x 169 = 51714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51714

Therefore, the GCF of Fractions 5087/306,1525/1014 is 1/51714

Least Common Multiple of 306,1014 with GCF Formula

Least Common Multiple of 306,1014 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 306,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,1014) = 6

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

GCF(306,1014) x common factors =6 x 1 = 6

LCM(306,1014) = ( 306 × 1014 ) / 6

LCM(306,1014) = 310284 / 6

LCM(306,1014) = 51714


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5087/306, 1525/1014

1. 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.

2. What is the GCF of Fractions for 5087/306, 1525/1014?

Answer: GCF of Numerators as per given numbers 5087/306, 1525/1014 is

GCF of Numerators i.e. for 5087,1525 is 1

LCM of denominators i.e. for 306,1014 is 51714.

Thus, GCF of Fractions is 1/51714.Finally, GCF of Fractions for 5087/306, 1525/1014 is 1/51714.