Greatest Common Factor of 1528/615, 2067/9153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1528/615, 2067/9153

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 1528/615,2067/9153

Given fractions are 1528/615,2067/9153

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 1528,2067

Greatest Common Factor of Numerators i.e. GCF of 1528,2067 is 1 .

LCM of Denominators means LCM of 615,9153 as per the given fractions.

LCM of 615,9153 is 1876365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1528,2067

GCF of Fractions 1528/615,2067/9153 is 1/1876365

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

Greatest Common Factor of 1528,2067 By Matching Biggest Common Factor Method

Greatest Common Factor of 1528,2067 By Matching Biggest Common Factor Method

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1,3,13,39,53,159,689,2067

Greatest Common Factor

We found the factors 1528,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 1528,2067 is 1.

Lets's calculate LCM of 615,9153

3 615, 9153
205, 3051

∴ So the LCM of the given numbers is 3 x 205 x 3051 = 1876365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1876365

Therefore, the GCF of Fractions 1528/615,2067/9153 is 1/1876365

Least Common Multiple of 615,9153 with GCF Formula

Least Common Multiple of 615,9153 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 615,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,9153) = 3

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

GCF(615,9153) x common factors =3 x 1 = 3

LCM(615,9153) = ( 615 × 9153 ) / 3

LCM(615,9153) = 5629095 / 3

LCM(615,9153) = 1876365


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 1528/615, 2067/9153

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 1528/615, 2067/9153?

Answer: GCF of Numerators as per given numbers 1528/615, 2067/9153 is

GCF of Numerators i.e. for 1528,2067 is 1

LCM of denominators i.e. for 615,9153 is 1876365.

Thus, GCF of Fractions is 1/1876365.Finally, GCF of Fractions for 1528/615, 2067/9153 is 1/1876365.