How to Find GCF of 9227/236, 7300/5441?

GCF of 9227/236, 7300/5441

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 9227/236, 7300/5441 i.e 1/1284076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9227/236, 7300/5441.

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 9227/236,7300/5441?

Given fractions are 9227/236,7300/5441

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 9227/236,7300/5441, numerators are 9227,7300

Denominators are 236,5441

The GCF of 9227,7300 is 1 .

LCM of 236,5441 is 1284076.

The greatest common factor of 9227/236,7300/5441 = [GCF of 9227,7300]/[LCM of 236,5441]= 1/1284076

Therefore, the GCF of 9227/236,7300/5441 is 1/1284076.

Greatest Common Factor of 9227,7300

To find the highest common factor of 9227,7300, we have to find the factors of both numbers and list the highest common factor.

The factors of 9227 are 1, 9227

The factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300

The HCF of 9227,7300 is 1.

Lets's calculate GCF of 9227,7300

Greatest Common Factor (GCF) of 9227,7300 By Common Division

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

Greatest Common Factor of 9227,7300 By Matching Biggest Common Factor Method

Now, list down the factors of 9227

1,9227

Now, list down the factors of 7300

1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300

Greatest Common Factor

We found the factors 9227,7300 . The biggest common factor number is the GCF number.
So the greatest common factor 9227,7300 is 1.

Lets's calculate LCM of 236,5441

Lowest Common Multiple of 236,5441 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1284076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1284076

Therefore, the GCF of Fractions 9227/236,7300/5441 is 1/1284076

Least Common Multiple of 236,5441 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 236,5441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,5441) = 1

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

GCF(236,5441) x common factors =1 x 1 = 1

LCM(236,5441) = ( 236 × 5441 ) / 1

LCM(236,5441) = 1284076 / 1

LCM(236,5441) = 1284076

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FAQs on GCF of Fractions of 9227/236, 7300/5441

1. What is the HCF of 9227,7300?

The HCF of 9227,7300 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 9227/236, 7300/5441?

Answer: GCF of Numerators as per given numbers 9227/236, 7300/5441 is

GCF of Numerators i.e. for 9227,7300 is 1

LCM of denominators i.e. for 236,5441 is 1284076.

Thus, GCF of Fractions is 1/1284076.Finally, GCF of Fractions for 9227/236, 7300/5441 is 1/1284076.