How to Find GCF of 9221/603, 8791/896?

GCF of 9221/603, 8791/896

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 9221/603, 8791/896 i.e 1/540288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9221/603, 8791/896.

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 9221/603,8791/896?

Given fractions are 9221/603,8791/896

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 9221/603,8791/896, numerators are 9221,8791

Denominators are 603,896

The GCF of 9221,8791 is 1 .

LCM of 603,896 is 540288.

The greatest common factor of 9221/603,8791/896 = [GCF of 9221,8791]/[LCM of 603,896]= 1/540288

Therefore, the GCF of 9221/603,8791/896 is 1/540288.

Greatest Common Factor of 9221,8791

To find the highest common factor of 9221,8791, 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 8791 are 1, 59, 149, 8791

The HCF of 9221,8791 is 1.

Lets's calculate GCF of 9221,8791

Greatest Common Factor (GCF) of 9221,8791 By Common Division

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

Greatest Common Factor of 9221,8791 By Matching Biggest Common Factor Method

Now, list down the factors of 9221

1,9221

Now, list down the factors of 8791

1,59,149,8791

Greatest Common Factor

We found the factors 9221,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 9221,8791 is 1.

Lets's calculate LCM of 603,896

Lowest Common Multiple of 603,896 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 540288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540288

Therefore, the GCF of Fractions 9221/603,8791/896 is 1/540288

Least Common Multiple of 603,896 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 603,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,896) = 1

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

GCF(603,896) x common factors =1 x 1 = 1

LCM(603,896) = ( 603 × 896 ) / 1

LCM(603,896) = 540288 / 1

LCM(603,896) = 540288

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FAQs on GCF of Fractions of 9221/603, 8791/896

1. What is the HCF of 9221,8791?

The HCF of 9221,8791 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 9221/603, 8791/896?

Answer: GCF of Numerators as per given numbers 9221/603, 8791/896 is

GCF of Numerators i.e. for 9221,8791 is 1

LCM of denominators i.e. for 603,896 is 540288.

Thus, GCF of Fractions is 1/540288.Finally, GCF of Fractions for 9221/603, 8791/896 is 1/540288.