How to Find GCF of 9241/810, 1645/9382?

GCF of 9241/810, 1645/9382

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 9241/810, 1645/9382 i.e 1/3799710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9241/810, 1645/9382.

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 9241/810,1645/9382?

Given fractions are 9241/810,1645/9382

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 9241/810,1645/9382, numerators are 9241,1645

Denominators are 810,9382

The GCF of 9241,1645 is 1 .

LCM of 810,9382 is 3799710.

The greatest common factor of 9241/810,1645/9382 = [GCF of 9241,1645]/[LCM of 810,9382]= 1/3799710

Therefore, the GCF of 9241/810,1645/9382 is 1/3799710.

Greatest Common Factor of 9241,1645

To find the highest common factor of 9241,1645, we have to find the factors of both numbers and list the highest common factor.

The factors of 9241 are 1, 9241

The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645

The HCF of 9241,1645 is 1.

Lets's calculate GCF of 9241,1645

Greatest Common Factor (GCF) of 9241,1645 By Common Division

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

Greatest Common Factor of 9241,1645 By Matching Biggest Common Factor Method

Now, list down the factors of 9241

1,9241

Now, list down the factors of 1645

1,5,7,35,47,235,329,1645

Greatest Common Factor

We found the factors 9241,1645 . The biggest common factor number is the GCF number.
So the greatest common factor 9241,1645 is 1.

Lets's calculate LCM of 810,9382

Lowest Common Multiple of 810,9382 using Common Division

2	810, 9382
	405, 4691

∴ So the LCM of the given numbers is 2 x 405 x 4691 = 3799710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3799710

Therefore, the GCF of Fractions 9241/810,1645/9382 is 1/3799710

Least Common Multiple of 810,9382 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 810,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,9382) = 2

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

GCF(810,9382) x common factors =2 x 1 = 2

LCM(810,9382) = ( 810 × 9382 ) / 2

LCM(810,9382) = 7599420 / 2

LCM(810,9382) = 3799710

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FAQs on GCF of Fractions of 9241/810, 1645/9382

1. What is the HCF of 9241,1645?

The HCF of 9241,1645 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 9241/810, 1645/9382?

Answer: GCF of Numerators as per given numbers 9241/810, 1645/9382 is

GCF of Numerators i.e. for 9241,1645 is 1

LCM of denominators i.e. for 810,9382 is 3799710.

Thus, GCF of Fractions is 1/3799710.Finally, GCF of Fractions for 9241/810, 1645/9382 is 1/3799710.