Greatest Common Factor of 1511/465, 8986/8226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1511/465, 8986/8226

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 1511/465,8986/8226

Given fractions are 1511/465,8986/8226

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 1511,8986

Greatest Common Factor of Numerators i.e. GCF of 1511,8986 is 1 .

LCM of Denominators means LCM of 465,8226 as per the given fractions.

LCM of 465,8226 is 1275030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1511,8986

GCF of Fractions 1511/465,8986/8226 is 1/1275030

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

Greatest Common Factor of 1511,8986 By Matching Biggest Common Factor Method

Greatest Common Factor of 1511,8986 By Matching Biggest Common Factor Method

Factors of 1511

List of positive integer factors of 1511 that divides 1511 without a remainder.

1,1511

Factors of 8986

List of positive integer factors of 8986 that divides 8986 without a remainder.

1,2,4493,8986

Greatest Common Factor

We found the factors 1511,8986 . The biggest common factor number is the GCF number.
So the greatest common factor 1511,8986 is 1.

Lets's calculate LCM of 465,8226

3 465, 8226
155, 2742

∴ So the LCM of the given numbers is 3 x 155 x 2742 = 1275030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1275030

Therefore, the GCF of Fractions 1511/465,8986/8226 is 1/1275030

Least Common Multiple of 465,8226 with GCF Formula

Least Common Multiple of 465,8226 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 465,8226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,8226) = 3

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

GCF(465,8226) x common factors =3 x 1 = 3

LCM(465,8226) = ( 465 × 8226 ) / 3

LCM(465,8226) = 3825090 / 3

LCM(465,8226) = 1275030


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 1511/465, 8986/8226

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 1511/465, 8986/8226?

Answer: GCF of Numerators as per given numbers 1511/465, 8986/8226 is

GCF of Numerators i.e. for 1511,8986 is 1

LCM of denominators i.e. for 465,8226 is 1275030.

Thus, GCF of Fractions is 1/1275030.Finally, GCF of Fractions for 1511/465, 8986/8226 is 1/1275030.