How to Find GCF of 9575/369, 7247/7281?

GCF of 9575/369, 7247/7281

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 9575/369, 7247/7281 i.e 1/298521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9575/369, 7247/7281.

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 9575/369,7247/7281?

Given fractions are 9575/369,7247/7281

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 9575/369,7247/7281, numerators are 9575,7247

Denominators are 369,7281

The GCF of 9575,7247 is 1 .

LCM of 369,7281 is 298521.

The greatest common factor of 9575/369,7247/7281 = [GCF of 9575,7247]/[LCM of 369,7281]= 1/298521

Therefore, the GCF of 9575/369,7247/7281 is 1/298521.

Greatest Common Factor of 9575,7247

To find the highest common factor of 9575,7247, we have to find the factors of both numbers and list the highest common factor.

The factors of 9575 are 1, 5, 25, 383, 1915, 9575

The factors of 7247 are 1, 7247

The HCF of 9575,7247 is 1.

Lets's calculate GCF of 9575,7247

Greatest Common Factor (GCF) of 9575,7247 By Common Division

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

Greatest Common Factor of 9575,7247 By Matching Biggest Common Factor Method

Now, list down the factors of 9575

1,5,25,383,1915,9575

Now, list down the factors of 7247

1,7247

Greatest Common Factor

We found the factors 9575,7247 . The biggest common factor number is the GCF number.
So the greatest common factor 9575,7247 is 1.

Lets's calculate LCM of 369,7281

Lowest Common Multiple of 369,7281 using Common Division

3	369, 7281
3	123, 2427
	41, 809

∴ So the LCM of the given numbers is 3 x 3 x 41 x 809 = 298521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298521

Therefore, the GCF of Fractions 9575/369,7247/7281 is 1/298521

Least Common Multiple of 369,7281 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 369,7281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,7281) = 9

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

GCF(369,7281) x common factors =9 x 1 = 9

LCM(369,7281) = ( 369 × 7281 ) / 9

LCM(369,7281) = 2686689 / 9

LCM(369,7281) = 298521

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FAQs on GCF of Fractions of 9575/369, 7247/7281

1. What is the HCF of 9575,7247?

The HCF of 9575,7247 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 9575/369, 7247/7281?

Answer: GCF of Numerators as per given numbers 9575/369, 7247/7281 is

GCF of Numerators i.e. for 9575,7247 is 1

LCM of denominators i.e. for 369,7281 is 298521.

Thus, GCF of Fractions is 1/298521.Finally, GCF of Fractions for 9575/369, 7247/7281 is 1/298521.