How to Find GCF of 8615/906, 2042/9239?

GCF of 8615/906, 2042/9239

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 8615/906, 2042/9239 i.e 1/8370534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8615/906, 2042/9239.

Enter two or more fractions separated by "commas"

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

What is the GCF of 8615/906,2042/9239?

Given fractions are 8615/906,2042/9239

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 8615/906,2042/9239, numerators are 8615,2042

Denominators are 906,9239

The GCF of 8615,2042 is 1 .

LCM of 906,9239 is 8370534.

The greatest common factor of 8615/906,2042/9239 = [GCF of 8615,2042]/[LCM of 906,9239]= 1/8370534

Therefore, the GCF of 8615/906,2042/9239 is 1/8370534.

Greatest Common Factor of 8615,2042

To find the highest common factor of 8615,2042, we have to find the factors of both numbers and list the highest common factor.

The factors of 8615 are 1, 5, 1723, 8615

The factors of 2042 are 1, 2, 1021, 2042

The HCF of 8615,2042 is 1.

Lets's calculate GCF of 8615,2042

Greatest Common Factor (GCF) of 8615,2042 By Common Division

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

Greatest Common Factor of 8615,2042 By Matching Biggest Common Factor Method

Now, list down the factors of 8615

1,5,1723,8615

Now, list down the factors of 2042

1,2,1021,2042

Greatest Common Factor

We found the factors 8615,2042 . The biggest common factor number is the GCF number.
So the greatest common factor 8615,2042 is 1.

Lets's calculate LCM of 906,9239

Lowest Common Multiple of 906,9239 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8370534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8370534

Therefore, the GCF of Fractions 8615/906,2042/9239 is 1/8370534

Least Common Multiple of 906,9239 with GCF Formula

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

We need to calculate greatest common factor of 906,9239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,9239) = 1

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

GCF(906,9239) x common factors =1 x 1 = 1

LCM(906,9239) = ( 906 × 9239 ) / 1

LCM(906,9239) = 8370534 / 1

LCM(906,9239) = 8370534

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8615/906, 2042/9239

1. What is the HCF of 8615,2042?

The HCF of 8615,2042 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 8615/906, 2042/9239?

Answer: GCF of Numerators as per given numbers 8615/906, 2042/9239 is

GCF of Numerators i.e. for 8615,2042 is 1

LCM of denominators i.e. for 906,9239 is 8370534.

Thus, GCF of Fractions is 1/8370534.Finally, GCF of Fractions for 8615/906, 2042/9239 is 1/8370534.