How to Find GCF of 3536/654, 8409/8944?

GCF of 3536/654, 8409/8944

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 3536/654, 8409/8944 i.e 1/2924688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3536/654, 8409/8944.

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 3536/654,8409/8944?

Given fractions are 3536/654,8409/8944

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 3536/654,8409/8944, numerators are 3536,8409

Denominators are 654,8944

The GCF of 3536,8409 is 1 .

LCM of 654,8944 is 2924688.

The greatest common factor of 3536/654,8409/8944 = [GCF of 3536,8409]/[LCM of 654,8944]= 1/2924688

Therefore, the GCF of 3536/654,8409/8944 is 1/2924688.

Greatest Common Factor of 3536,8409

To find the highest common factor of 3536,8409, we have to find the factors of both numbers and list the highest common factor.

The factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536

The factors of 8409 are 1, 3, 2803, 8409

The HCF of 3536,8409 is 1.

Lets's calculate GCF of 3536,8409

Greatest Common Factor (GCF) of 3536,8409 By Common Division

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

Greatest Common Factor of 3536,8409 By Matching Biggest Common Factor Method

Now, list down the factors of 3536

1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536

Now, list down the factors of 8409

1,3,2803,8409

Greatest Common Factor

We found the factors 3536,8409 . The biggest common factor number is the GCF number.
So the greatest common factor 3536,8409 is 1.

Lets's calculate LCM of 654,8944

Lowest Common Multiple of 654,8944 using Common Division

2	654, 8944
	327, 4472

∴ So the LCM of the given numbers is 2 x 327 x 4472 = 2924688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2924688

Therefore, the GCF of Fractions 3536/654,8409/8944 is 1/2924688

Least Common Multiple of 654,8944 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 654,8944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,8944) = 2

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

GCF(654,8944) x common factors =2 x 1 = 2

LCM(654,8944) = ( 654 × 8944 ) / 2

LCM(654,8944) = 5849376 / 2

LCM(654,8944) = 2924688

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3536/654, 8409/8944

1. What is the HCF of 3536,8409?

The HCF of 3536,8409 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 3536/654, 8409/8944?

Answer: GCF of Numerators as per given numbers 3536/654, 8409/8944 is

GCF of Numerators i.e. for 3536,8409 is 1

LCM of denominators i.e. for 654,8944 is 2924688.

Thus, GCF of Fractions is 1/2924688.Finally, GCF of Fractions for 3536/654, 8409/8944 is 1/2924688.