How to Find GCF of 838/609, 2241/923?

GCF of 838/609, 2241/923

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 838/609, 2241/923 i.e 1/562107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/609, 2241/923.

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 838/609,2241/923?

Given fractions are 838/609,2241/923

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 838/609,2241/923, numerators are 838,2241

Denominators are 609,923

The GCF of 838,2241 is 1 .

LCM of 609,923 is 562107.

The greatest common factor of 838/609,2241/923 = [GCF of 838,2241]/[LCM of 609,923]= 1/562107

Therefore, the GCF of 838/609,2241/923 is 1/562107.

Greatest Common Factor of 838,2241

To find the highest common factor of 838,2241, we have to find the factors of both numbers and list the highest common factor.

The factors of 838 are 1, 2, 419, 838

The factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241

The HCF of 838,2241 is 1.

Lets's calculate GCF of 838,2241

Greatest Common Factor (GCF) of 838,2241 By Common Division

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

Greatest Common Factor of 838,2241 By Matching Biggest Common Factor Method

Now, list down the factors of 838

1,2,419,838

Now, list down the factors of 2241

1,3,9,27,83,249,747,2241

Greatest Common Factor

We found the factors 838,2241 . The biggest common factor number is the GCF number.
So the greatest common factor 838,2241 is 1.

Lets's calculate LCM of 609,923

Lowest Common Multiple of 609,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 562107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562107

Therefore, the GCF of Fractions 838/609,2241/923 is 1/562107

Least Common Multiple of 609,923 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 609,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,923) = 1

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

GCF(609,923) x common factors =1 x 1 = 1

LCM(609,923) = ( 609 × 923 ) / 1

LCM(609,923) = 562107 / 1

LCM(609,923) = 562107

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FAQs on GCF of Fractions of 838/609, 2241/923

1. What is the HCF of 838,2241?

The HCF of 838,2241 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 838/609, 2241/923?

Answer: GCF of Numerators as per given numbers 838/609, 2241/923 is

GCF of Numerators i.e. for 838,2241 is 1

LCM of denominators i.e. for 609,923 is 562107.

Thus, GCF of Fractions is 1/562107.Finally, GCF of Fractions for 838/609, 2241/923 is 1/562107.