How to Find GCF of 9473/612, 8237/3844?

GCF of 9473/612, 8237/3844

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 9473/612, 8237/3844 i.e 1/588132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9473/612, 8237/3844.

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 9473/612,8237/3844?

Given fractions are 9473/612,8237/3844

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 9473/612,8237/3844, numerators are 9473,8237

Denominators are 612,3844

The GCF of 9473,8237 is 1 .

LCM of 612,3844 is 588132.

The greatest common factor of 9473/612,8237/3844 = [GCF of 9473,8237]/[LCM of 612,3844]= 1/588132

Therefore, the GCF of 9473/612,8237/3844 is 1/588132.

Greatest Common Factor of 9473,8237

To find the highest common factor of 9473,8237, we have to find the factors of both numbers and list the highest common factor.

The factors of 9473 are 1, 9473

The factors of 8237 are 1, 8237

The HCF of 9473,8237 is 1.

Lets's calculate GCF of 9473,8237

Greatest Common Factor (GCF) of 9473,8237 By Common Division

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

Greatest Common Factor of 9473,8237 By Matching Biggest Common Factor Method

Now, list down the factors of 9473

1,9473

Now, list down the factors of 8237

1,8237

Greatest Common Factor

We found the factors 9473,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 9473,8237 is 1.

Lets's calculate LCM of 612,3844

Lowest Common Multiple of 612,3844 using Common Division

2	612, 3844
2	306, 1922
	153, 961

∴ So the LCM of the given numbers is 2 x 2 x 153 x 961 = 588132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588132

Therefore, the GCF of Fractions 9473/612,8237/3844 is 1/588132

Least Common Multiple of 612,3844 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 612,3844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,3844) = 4

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

GCF(612,3844) x common factors =4 x 1 = 4

LCM(612,3844) = ( 612 × 3844 ) / 4

LCM(612,3844) = 2352528 / 4

LCM(612,3844) = 588132

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FAQs on GCF of Fractions of 9473/612, 8237/3844

1. What is the HCF of 9473,8237?

The HCF of 9473,8237 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 9473/612, 8237/3844?

Answer: GCF of Numerators as per given numbers 9473/612, 8237/3844 is

GCF of Numerators i.e. for 9473,8237 is 1

LCM of denominators i.e. for 612,3844 is 588132.

Thus, GCF of Fractions is 1/588132.Finally, GCF of Fractions for 9473/612, 8237/3844 is 1/588132.