How to Find GCF of 747/320, 3583/9130?

GCF of 747/320, 3583/9130

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 747/320, 3583/9130 i.e 1/292160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/320, 3583/9130.

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 747/320,3583/9130?

Given fractions are 747/320,3583/9130

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 747/320,3583/9130, numerators are 747,3583

Denominators are 320,9130

The GCF of 747,3583 is 1 .

LCM of 320,9130 is 292160.

The greatest common factor of 747/320,3583/9130 = [GCF of 747,3583]/[LCM of 320,9130]= 1/292160

Therefore, the GCF of 747/320,3583/9130 is 1/292160.

Greatest Common Factor of 747,3583

To find the highest common factor of 747,3583, we have to find the factors of both numbers and list the highest common factor.

The factors of 747 are 1, 3, 9, 83, 249, 747

The factors of 3583 are 1, 3583

The HCF of 747,3583 is 1.

Lets's calculate GCF of 747,3583

Greatest Common Factor (GCF) of 747,3583 By Common Division

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

Greatest Common Factor of 747,3583 By Matching Biggest Common Factor Method

Now, list down the factors of 747

1,3,9,83,249,747

Now, list down the factors of 3583

1,3583

Greatest Common Factor

We found the factors 747,3583 . The biggest common factor number is the GCF number.
So the greatest common factor 747,3583 is 1.

Lets's calculate LCM of 320,9130

Lowest Common Multiple of 320,9130 using Common Division

2	320, 9130
5	160, 4565
	32, 913

∴ So the LCM of the given numbers is 2 x 5 x 32 x 913 = 292160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292160

Therefore, the GCF of Fractions 747/320,3583/9130 is 1/292160

Least Common Multiple of 320,9130 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 320,9130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9130) = 10

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

GCF(320,9130) x common factors =10 x 1 = 10

LCM(320,9130) = ( 320 × 9130 ) / 10

LCM(320,9130) = 2921600 / 10

LCM(320,9130) = 292160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 747/320, 3583/9130

1. What is the HCF of 747,3583?

The HCF of 747,3583 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 747/320, 3583/9130?

Answer: GCF of Numerators as per given numbers 747/320, 3583/9130 is

GCF of Numerators i.e. for 747,3583 is 1

LCM of denominators i.e. for 320,9130 is 292160.

Thus, GCF of Fractions is 1/292160.Finally, GCF of Fractions for 747/320, 3583/9130 is 1/292160.