How to Find GCF of 9789/255, 9065/1213?

GCF of 9789/255, 9065/1213

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 9789/255, 9065/1213 i.e 1/309315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9789/255, 9065/1213.

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 9789/255,9065/1213?

Given fractions are 9789/255,9065/1213

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 9789/255,9065/1213, numerators are 9789,9065

Denominators are 255,1213

The GCF of 9789,9065 is 1 .

LCM of 255,1213 is 309315.

The greatest common factor of 9789/255,9065/1213 = [GCF of 9789,9065]/[LCM of 255,1213]= 1/309315

Therefore, the GCF of 9789/255,9065/1213 is 1/309315.

Greatest Common Factor of 9789,9065

To find the highest common factor of 9789,9065, we have to find the factors of both numbers and list the highest common factor.

The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789

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

The HCF of 9789,9065 is 1.

Lets's calculate GCF of 9789,9065

Greatest Common Factor (GCF) of 9789,9065 By Common Division

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

Greatest Common Factor of 9789,9065 By Matching Biggest Common Factor Method

Now, list down the factors of 9789

1,3,13,39,251,753,3263,9789

Now, list down the factors of 9065

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

Greatest Common Factor

We found the factors 9789,9065 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,9065 is 1.

Lets's calculate LCM of 255,1213

Lowest Common Multiple of 255,1213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 309315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309315

Therefore, the GCF of Fractions 9789/255,9065/1213 is 1/309315

Least Common Multiple of 255,1213 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 255,1213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,1213) = 1

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

GCF(255,1213) x common factors =1 x 1 = 1

LCM(255,1213) = ( 255 × 1213 ) / 1

LCM(255,1213) = 309315 / 1

LCM(255,1213) = 309315

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FAQs on GCF of Fractions of 9789/255, 9065/1213

1. What is the HCF of 9789,9065?

The HCF of 9789,9065 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 9789/255, 9065/1213?

Answer: GCF of Numerators as per given numbers 9789/255, 9065/1213 is

GCF of Numerators i.e. for 9789,9065 is 1

LCM of denominators i.e. for 255,1213 is 309315.

Thus, GCF of Fractions is 1/309315.Finally, GCF of Fractions for 9789/255, 9065/1213 is 1/309315.