How to Find GCF of 9361/284, 1304/584?

GCF of 9361/284, 1304/584

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 9361/284, 1304/584 i.e 1/41464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9361/284, 1304/584.

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 9361/284,1304/584?

Given fractions are 9361/284,1304/584

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 9361/284,1304/584, numerators are 9361,1304

Denominators are 284,584

The GCF of 9361,1304 is 1 .

LCM of 284,584 is 41464.

The greatest common factor of 9361/284,1304/584 = [GCF of 9361,1304]/[LCM of 284,584]= 1/41464

Therefore, the GCF of 9361/284,1304/584 is 1/41464.

Greatest Common Factor of 9361,1304

To find the highest common factor of 9361,1304, we have to find the factors of both numbers and list the highest common factor.

The factors of 9361 are 1, 11, 23, 37, 253, 407, 851, 9361

The factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304

The HCF of 9361,1304 is 1.

Lets's calculate GCF of 9361,1304

Greatest Common Factor (GCF) of 9361,1304 By Common Division

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

Greatest Common Factor of 9361,1304 By Matching Biggest Common Factor Method

Now, list down the factors of 9361

1,11,23,37,253,407,851,9361

Now, list down the factors of 1304

1,2,4,8,163,326,652,1304

Greatest Common Factor

We found the factors 9361,1304 . The biggest common factor number is the GCF number.
So the greatest common factor 9361,1304 is 1.

Lets's calculate LCM of 284,584

Lowest Common Multiple of 284,584 using Common Division

2	284, 584
2	142, 292
	71, 146

∴ So the LCM of the given numbers is 2 x 2 x 71 x 146 = 41464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41464

Therefore, the GCF of Fractions 9361/284,1304/584 is 1/41464

Least Common Multiple of 284,584 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 284,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,584) = 4

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

GCF(284,584) x common factors =4 x 1 = 4

LCM(284,584) = ( 284 × 584 ) / 4

LCM(284,584) = 165856 / 4

LCM(284,584) = 41464

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9361/284, 1304/584

1. What is the HCF of 9361,1304?

The HCF of 9361,1304 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 9361/284, 1304/584?

Answer: GCF of Numerators as per given numbers 9361/284, 1304/584 is

GCF of Numerators i.e. for 9361,1304 is 1

LCM of denominators i.e. for 284,584 is 41464.

Thus, GCF of Fractions is 1/41464.Finally, GCF of Fractions for 9361/284, 1304/584 is 1/41464.