How to Find GCF of 8594/242, 8261/4413?

GCF of 8594/242, 8261/4413

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 8594/242, 8261/4413 i.e 1/1067946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8594/242, 8261/4413.

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 8594/242,8261/4413?

Given fractions are 8594/242,8261/4413

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 8594/242,8261/4413, numerators are 8594,8261

Denominators are 242,4413

The GCF of 8594,8261 is 1 .

LCM of 242,4413 is 1067946.

The greatest common factor of 8594/242,8261/4413 = [GCF of 8594,8261]/[LCM of 242,4413]= 1/1067946

Therefore, the GCF of 8594/242,8261/4413 is 1/1067946.

Greatest Common Factor of 8594,8261

To find the highest common factor of 8594,8261, we have to find the factors of both numbers and list the highest common factor.

The factors of 8594 are 1, 2, 4297, 8594

The factors of 8261 are 1, 11, 751, 8261

The HCF of 8594,8261 is 1.

Lets's calculate GCF of 8594,8261

Greatest Common Factor (GCF) of 8594,8261 By Common Division

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

Greatest Common Factor of 8594,8261 By Matching Biggest Common Factor Method

Now, list down the factors of 8594

1,2,4297,8594

Now, list down the factors of 8261

1,11,751,8261

Greatest Common Factor

We found the factors 8594,8261 . The biggest common factor number is the GCF number.
So the greatest common factor 8594,8261 is 1.

Lets's calculate LCM of 242,4413

Lowest Common Multiple of 242,4413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1067946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1067946

Therefore, the GCF of Fractions 8594/242,8261/4413 is 1/1067946

Least Common Multiple of 242,4413 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 242,4413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,4413) = 1

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

GCF(242,4413) x common factors =1 x 1 = 1

LCM(242,4413) = ( 242 × 4413 ) / 1

LCM(242,4413) = 1067946 / 1

LCM(242,4413) = 1067946

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FAQs on GCF of Fractions of 8594/242, 8261/4413

1. What is the HCF of 8594,8261?

The HCF of 8594,8261 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 8594/242, 8261/4413?

Answer: GCF of Numerators as per given numbers 8594/242, 8261/4413 is

GCF of Numerators i.e. for 8594,8261 is 1

LCM of denominators i.e. for 242,4413 is 1067946.

Thus, GCF of Fractions is 1/1067946.Finally, GCF of Fractions for 8594/242, 8261/4413 is 1/1067946.