How to Find GCF of 7475/320, 9773/9471?

GCF of 7475/320, 9773/9471

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 7475/320, 9773/9471 i.e 1/3030720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7475/320, 9773/9471.

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 7475/320,9773/9471?

Given fractions are 7475/320,9773/9471

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 7475/320,9773/9471, numerators are 7475,9773

Denominators are 320,9471

The GCF of 7475,9773 is 1 .

LCM of 320,9471 is 3030720.

The greatest common factor of 7475/320,9773/9471 = [GCF of 7475,9773]/[LCM of 320,9471]= 1/3030720

Therefore, the GCF of 7475/320,9773/9471 is 1/3030720.

Greatest Common Factor of 7475,9773

To find the highest common factor of 7475,9773, we have to find the factors of both numbers and list the highest common factor.

The factors of 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475

The factors of 9773 are 1, 29, 337, 9773

The HCF of 7475,9773 is 1.

Lets's calculate GCF of 7475,9773

Greatest Common Factor (GCF) of 7475,9773 By Common Division

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

Greatest Common Factor of 7475,9773 By Matching Biggest Common Factor Method

Now, list down the factors of 7475

1,5,13,23,25,65,115,299,325,575,1495,7475

Now, list down the factors of 9773

1,29,337,9773

Greatest Common Factor

We found the factors 7475,9773 . The biggest common factor number is the GCF number.
So the greatest common factor 7475,9773 is 1.

Lets's calculate LCM of 320,9471

Lowest Common Multiple of 320,9471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3030720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3030720

Therefore, the GCF of Fractions 7475/320,9773/9471 is 1/3030720

Least Common Multiple of 320,9471 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 320,9471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9471) = 1

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

GCF(320,9471) x common factors =1 x 1 = 1

LCM(320,9471) = ( 320 × 9471 ) / 1

LCM(320,9471) = 3030720 / 1

LCM(320,9471) = 3030720

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FAQs on GCF of Fractions of 7475/320, 9773/9471

1. What is the HCF of 7475,9773?

The HCF of 7475,9773 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 7475/320, 9773/9471?

Answer: GCF of Numerators as per given numbers 7475/320, 9773/9471 is

GCF of Numerators i.e. for 7475,9773 is 1

LCM of denominators i.e. for 320,9471 is 3030720.

Thus, GCF of Fractions is 1/3030720.Finally, GCF of Fractions for 7475/320, 9773/9471 is 1/3030720.