Greatest Common Factor of 1581/310, 1085/5031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1581/310, 1085/5031

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 1581/310,1085/5031

Given fractions are 1581/310,1085/5031

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 1581,1085

Greatest Common Factor of Numerators i.e. GCF of 1581,1085 is 31 .

LCM of Denominators means LCM of 310,5031 as per the given fractions.

LCM of 310,5031 is 1559610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1581,1085

GCF of Fractions 1581/310,1085/5031 is 31/1559610

31 1581, 1085
51, 35

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 1581,1085 By Matching Biggest Common Factor Method

Greatest Common Factor of 1581,1085 By Matching Biggest Common Factor Method

Factors of 1581

List of positive integer factors of 1581 that divides 1581 without a remainder.

1,3,17,31,51,93,527,1581

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1,5,7,31,35,155,217,1085

Greatest Common Factor

We found the factors 1581,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 1581,1085 is 31.

Lets's calculate LCM of 310,5031

Given numbers has no common factors except 1. So, there LCM is their product i.e 1559610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1559610

Therefore, the GCF of Fractions 1581/310,1085/5031 is 31/1559610

Least Common Multiple of 310,5031 with GCF Formula

Least Common Multiple of 310,5031 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 310,5031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,5031) = 1

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

GCF(310,5031) x common factors =1 x 1 = 1

LCM(310,5031) = ( 310 × 5031 ) / 1

LCM(310,5031) = 1559610 / 1

LCM(310,5031) = 1559610


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 1581/310, 1085/5031

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 1581/310, 1085/5031?

Answer: GCF of Numerators as per given numbers 1581/310, 1085/5031 is

GCF of Numerators i.e. for 1581,1085 is 31

LCM of denominators i.e. for 310,5031 is 1559610.

Thus, GCF of Fractions is 31/1559610.Finally, GCF of Fractions for 1581/310, 1085/5031 is 31/1559610.