How to Find GCF of 9287/872, 3731/8006?

GCF of 9287/872, 3731/8006

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 9287/872, 3731/8006 i.e 1/3490616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9287/872, 3731/8006.

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 9287/872,3731/8006?

Given fractions are 9287/872,3731/8006

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 9287/872,3731/8006, numerators are 9287,3731

Denominators are 872,8006

The GCF of 9287,3731 is 1 .

LCM of 872,8006 is 3490616.

The greatest common factor of 9287/872,3731/8006 = [GCF of 9287,3731]/[LCM of 872,8006]= 1/3490616

Therefore, the GCF of 9287/872,3731/8006 is 1/3490616.

Greatest Common Factor of 9287,3731

To find the highest common factor of 9287,3731, we have to find the factors of both numbers and list the highest common factor.

The factors of 9287 are 1, 37, 251, 9287

The factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731

The HCF of 9287,3731 is 1.

Lets's calculate GCF of 9287,3731

Greatest Common Factor (GCF) of 9287,3731 By Common Division

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

Greatest Common Factor of 9287,3731 By Matching Biggest Common Factor Method

Now, list down the factors of 9287

1,37,251,9287

Now, list down the factors of 3731

1,7,13,41,91,287,533,3731

Greatest Common Factor

We found the factors 9287,3731 . The biggest common factor number is the GCF number.
So the greatest common factor 9287,3731 is 1.

Lets's calculate LCM of 872,8006

Lowest Common Multiple of 872,8006 using Common Division

2	872, 8006
	436, 4003

∴ So the LCM of the given numbers is 2 x 436 x 4003 = 3490616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3490616

Therefore, the GCF of Fractions 9287/872,3731/8006 is 1/3490616

Least Common Multiple of 872,8006 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 872,8006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,8006) = 2

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

GCF(872,8006) x common factors =2 x 1 = 2

LCM(872,8006) = ( 872 × 8006 ) / 2

LCM(872,8006) = 6981232 / 2

LCM(872,8006) = 3490616

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FAQs on GCF of Fractions of 9287/872, 3731/8006

1. What is the HCF of 9287,3731?

The HCF of 9287,3731 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 9287/872, 3731/8006?

Answer: GCF of Numerators as per given numbers 9287/872, 3731/8006 is

GCF of Numerators i.e. for 9287,3731 is 1

LCM of denominators i.e. for 872,8006 is 3490616.

Thus, GCF of Fractions is 1/3490616.Finally, GCF of Fractions for 9287/872, 3731/8006 is 1/3490616.