How to Find GCF of 9221/457, 2644/8295?

GCF of 9221/457, 2644/8295

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 9221/457, 2644/8295 i.e 1/3790815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9221/457, 2644/8295.

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 9221/457,2644/8295?

Given fractions are 9221/457,2644/8295

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 9221/457,2644/8295, numerators are 9221,2644

Denominators are 457,8295

The GCF of 9221,2644 is 1 .

LCM of 457,8295 is 3790815.

The greatest common factor of 9221/457,2644/8295 = [GCF of 9221,2644]/[LCM of 457,8295]= 1/3790815

Therefore, the GCF of 9221/457,2644/8295 is 1/3790815.

Greatest Common Factor of 9221,2644

To find the highest common factor of 9221,2644, we have to find the factors of both numbers and list the highest common factor.

The factors of 9221 are 1, 9221

The factors of 2644 are 1, 2, 4, 661, 1322, 2644

The HCF of 9221,2644 is 1.

Lets's calculate GCF of 9221,2644

Greatest Common Factor (GCF) of 9221,2644 By Common Division

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

Greatest Common Factor of 9221,2644 By Matching Biggest Common Factor Method

Now, list down the factors of 9221

1,9221

Now, list down the factors of 2644

1,2,4,661,1322,2644

Greatest Common Factor

We found the factors 9221,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 9221,2644 is 1.

Lets's calculate LCM of 457,8295

Lowest Common Multiple of 457,8295 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3790815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3790815

Therefore, the GCF of Fractions 9221/457,2644/8295 is 1/3790815

Least Common Multiple of 457,8295 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 457,8295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,8295) = 1

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

GCF(457,8295) x common factors =1 x 1 = 1

LCM(457,8295) = ( 457 × 8295 ) / 1

LCM(457,8295) = 3790815 / 1

LCM(457,8295) = 3790815

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FAQs on GCF of Fractions of 9221/457, 2644/8295

1. What is the HCF of 9221,2644?

The HCF of 9221,2644 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 9221/457, 2644/8295?

Answer: GCF of Numerators as per given numbers 9221/457, 2644/8295 is

GCF of Numerators i.e. for 9221,2644 is 1

LCM of denominators i.e. for 457,8295 is 3790815.

Thus, GCF of Fractions is 1/3790815.Finally, GCF of Fractions for 9221/457, 2644/8295 is 1/3790815.