How to Find GCF of 9065/808, 2298/567?

GCF of 9065/808, 2298/567

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 9065/808, 2298/567 i.e 1/458136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9065/808, 2298/567.

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 9065/808,2298/567?

Given fractions are 9065/808,2298/567

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 9065/808,2298/567, numerators are 9065,2298

Denominators are 808,567

The GCF of 9065,2298 is 1 .

LCM of 808,567 is 458136.

The greatest common factor of 9065/808,2298/567 = [GCF of 9065,2298]/[LCM of 808,567]= 1/458136

Therefore, the GCF of 9065/808,2298/567 is 1/458136.

Greatest Common Factor of 9065,2298

To find the highest common factor of 9065,2298, we have to find the factors of both numbers and list the highest common factor.

The factors of 9065 are 1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813, 9065

The factors of 2298 are 1, 2, 3, 6, 383, 766, 1149, 2298

The HCF of 9065,2298 is 1.

Lets's calculate GCF of 9065,2298

Greatest Common Factor (GCF) of 9065,2298 By Common Division

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

Greatest Common Factor of 9065,2298 By Matching Biggest Common Factor Method

Now, list down the factors of 9065

1,5,7,35,37,49,185,245,259,1295,1813,9065

Now, list down the factors of 2298

1,2,3,6,383,766,1149,2298

Greatest Common Factor

We found the factors 9065,2298 . The biggest common factor number is the GCF number.
So the greatest common factor 9065,2298 is 1.

Lets's calculate LCM of 808,567

Lowest Common Multiple of 808,567 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 458136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/458136

Therefore, the GCF of Fractions 9065/808,2298/567 is 1/458136

Least Common Multiple of 808,567 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 808,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,567) = 1

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

GCF(808,567) x common factors =1 x 1 = 1

LCM(808,567) = ( 808 × 567 ) / 1

LCM(808,567) = 458136 / 1

LCM(808,567) = 458136

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FAQs on GCF of Fractions of 9065/808, 2298/567

1. What is the HCF of 9065,2298?

The HCF of 9065,2298 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 9065/808, 2298/567?

Answer: GCF of Numerators as per given numbers 9065/808, 2298/567 is

GCF of Numerators i.e. for 9065,2298 is 1

LCM of denominators i.e. for 808,567 is 458136.

Thus, GCF of Fractions is 1/458136.Finally, GCF of Fractions for 9065/808, 2298/567 is 1/458136.