How to Find GCF of 9226/510, 7191/1577?

GCF of 9226/510, 7191/1577

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 9226/510, 7191/1577 i.e 1/804270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9226/510, 7191/1577.

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 9226/510,7191/1577?

Given fractions are 9226/510,7191/1577

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 9226/510,7191/1577, numerators are 9226,7191

Denominators are 510,1577

The GCF of 9226,7191 is 1 .

LCM of 510,1577 is 804270.

The greatest common factor of 9226/510,7191/1577 = [GCF of 9226,7191]/[LCM of 510,1577]= 1/804270

Therefore, the GCF of 9226/510,7191/1577 is 1/804270.

Greatest Common Factor of 9226,7191

To find the highest common factor of 9226,7191, we have to find the factors of both numbers and list the highest common factor.

The factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226

The factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191

The HCF of 9226,7191 is 1.

Lets's calculate GCF of 9226,7191

Greatest Common Factor (GCF) of 9226,7191 By Common Division

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

Greatest Common Factor of 9226,7191 By Matching Biggest Common Factor Method

Now, list down the factors of 9226

1,2,7,14,659,1318,4613,9226

Now, list down the factors of 7191

1,3,9,17,47,51,141,153,423,799,2397,7191

Greatest Common Factor

We found the factors 9226,7191 . The biggest common factor number is the GCF number.
So the greatest common factor 9226,7191 is 1.

Lets's calculate LCM of 510,1577

Lowest Common Multiple of 510,1577 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 804270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804270

Therefore, the GCF of Fractions 9226/510,7191/1577 is 1/804270

Least Common Multiple of 510,1577 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 510,1577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,1577) = 1

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

GCF(510,1577) x common factors =1 x 1 = 1

LCM(510,1577) = ( 510 × 1577 ) / 1

LCM(510,1577) = 804270 / 1

LCM(510,1577) = 804270

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FAQs on GCF of Fractions of 9226/510, 7191/1577

1. What is the HCF of 9226,7191?

The HCF of 9226,7191 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 9226/510, 7191/1577?

Answer: GCF of Numerators as per given numbers 9226/510, 7191/1577 is

GCF of Numerators i.e. for 9226,7191 is 1

LCM of denominators i.e. for 510,1577 is 804270.

Thus, GCF of Fractions is 1/804270.Finally, GCF of Fractions for 9226/510, 7191/1577 is 1/804270.