How to Find GCF of 9531/480, 4271/4966?

GCF of 9531/480, 4271/4966

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 9531/480, 4271/4966 i.e 1/1191840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9531/480, 4271/4966.

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 9531/480,4271/4966?

Given fractions are 9531/480,4271/4966

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 9531/480,4271/4966, numerators are 9531,4271

Denominators are 480,4966

The GCF of 9531,4271 is 1 .

LCM of 480,4966 is 1191840.

The greatest common factor of 9531/480,4271/4966 = [GCF of 9531,4271]/[LCM of 480,4966]= 1/1191840

Therefore, the GCF of 9531/480,4271/4966 is 1/1191840.

Greatest Common Factor of 9531,4271

To find the highest common factor of 9531,4271, we have to find the factors of both numbers and list the highest common factor.

The factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531

The factors of 4271 are 1, 4271

The HCF of 9531,4271 is 1.

Lets's calculate GCF of 9531,4271

Greatest Common Factor (GCF) of 9531,4271 By Common Division

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

Greatest Common Factor of 9531,4271 By Matching Biggest Common Factor Method

Now, list down the factors of 9531

1,3,9,27,353,1059,3177,9531

Now, list down the factors of 4271

1,4271

Greatest Common Factor

We found the factors 9531,4271 . The biggest common factor number is the GCF number.
So the greatest common factor 9531,4271 is 1.

Lets's calculate LCM of 480,4966

Lowest Common Multiple of 480,4966 using Common Division

2	480, 4966
	240, 2483

∴ So the LCM of the given numbers is 2 x 240 x 2483 = 1191840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1191840

Therefore, the GCF of Fractions 9531/480,4271/4966 is 1/1191840

Least Common Multiple of 480,4966 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 480,4966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,4966) = 2

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

GCF(480,4966) x common factors =2 x 1 = 2

LCM(480,4966) = ( 480 × 4966 ) / 2

LCM(480,4966) = 2383680 / 2

LCM(480,4966) = 1191840

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FAQs on GCF of Fractions of 9531/480, 4271/4966

1. What is the HCF of 9531,4271?

The HCF of 9531,4271 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 9531/480, 4271/4966?

Answer: GCF of Numerators as per given numbers 9531/480, 4271/4966 is

GCF of Numerators i.e. for 9531,4271 is 1

LCM of denominators i.e. for 480,4966 is 1191840.

Thus, GCF of Fractions is 1/1191840.Finally, GCF of Fractions for 9531/480, 4271/4966 is 1/1191840.