How to Find GCF of 9065/897, 2283/4231?

GCF of 9065/897, 2283/4231

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 9065/897, 2283/4231 i.e 1/3795207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9065/897, 2283/4231.

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 9065/897,2283/4231?

Given fractions are 9065/897,2283/4231

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 9065/897,2283/4231, numerators are 9065,2283

Denominators are 897,4231

The GCF of 9065,2283 is 1 .

LCM of 897,4231 is 3795207.

The greatest common factor of 9065/897,2283/4231 = [GCF of 9065,2283]/[LCM of 897,4231]= 1/3795207

Therefore, the GCF of 9065/897,2283/4231 is 1/3795207.

Greatest Common Factor of 9065,2283

To find the highest common factor of 9065,2283, 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 2283 are 1, 3, 761, 2283

The HCF of 9065,2283 is 1.

Lets's calculate GCF of 9065,2283

Greatest Common Factor (GCF) of 9065,2283 By Common Division

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

Greatest Common Factor of 9065,2283 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 2283

1,3,761,2283

Greatest Common Factor

We found the factors 9065,2283 . The biggest common factor number is the GCF number.
So the greatest common factor 9065,2283 is 1.

Lets's calculate LCM of 897,4231

Lowest Common Multiple of 897,4231 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3795207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3795207

Therefore, the GCF of Fractions 9065/897,2283/4231 is 1/3795207

Least Common Multiple of 897,4231 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 897,4231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,4231) = 1

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

GCF(897,4231) x common factors =1 x 1 = 1

LCM(897,4231) = ( 897 × 4231 ) / 1

LCM(897,4231) = 3795207 / 1

LCM(897,4231) = 3795207

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FAQs on GCF of Fractions of 9065/897, 2283/4231

1. What is the HCF of 9065,2283?

The HCF of 9065,2283 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 9065/897, 2283/4231?

Answer: GCF of Numerators as per given numbers 9065/897, 2283/4231 is

GCF of Numerators i.e. for 9065,2283 is 1

LCM of denominators i.e. for 897,4231 is 3795207.

Thus, GCF of Fractions is 1/3795207.Finally, GCF of Fractions for 9065/897, 2283/4231 is 1/3795207.