How to Find GCF of 3289/896, 3339/1246?

GCF of 3289/896, 3339/1246

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 3289/896, 3339/1246 i.e 1/79744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3289/896, 3339/1246.

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 3289/896,3339/1246?

Given fractions are 3289/896,3339/1246

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 3289/896,3339/1246, numerators are 3289,3339

Denominators are 896,1246

The GCF of 3289,3339 is 1 .

LCM of 896,1246 is 79744.

The greatest common factor of 3289/896,3339/1246 = [GCF of 3289,3339]/[LCM of 896,1246]= 1/79744

Therefore, the GCF of 3289/896,3339/1246 is 1/79744.

Greatest Common Factor of 3289,3339

To find the highest common factor of 3289,3339, we have to find the factors of both numbers and list the highest common factor.

The factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289

The factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339

The HCF of 3289,3339 is 1.

Lets's calculate GCF of 3289,3339

Greatest Common Factor (GCF) of 3289,3339 By Common Division

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

Greatest Common Factor of 3289,3339 By Matching Biggest Common Factor Method

Now, list down the factors of 3289

1,11,13,23,143,253,299,3289

Now, list down the factors of 3339

1,3,7,9,21,53,63,159,371,477,1113,3339

Greatest Common Factor

We found the factors 3289,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 3289,3339 is 1.

Lets's calculate LCM of 896,1246

Lowest Common Multiple of 896,1246 using Common Division

2	896, 1246
7	448, 623
	64, 89

∴ So the LCM of the given numbers is 2 x 7 x 64 x 89 = 79744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79744

Therefore, the GCF of Fractions 3289/896,3339/1246 is 1/79744

Least Common Multiple of 896,1246 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 896,1246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,1246) = 14

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

GCF(896,1246) x common factors =14 x 1 = 14

LCM(896,1246) = ( 896 × 1246 ) / 14

LCM(896,1246) = 1116416 / 14

LCM(896,1246) = 79744

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FAQs on GCF of Fractions of 3289/896, 3339/1246

1. What is the HCF of 3289,3339?

The HCF of 3289,3339 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 3289/896, 3339/1246?

Answer: GCF of Numerators as per given numbers 3289/896, 3339/1246 is

GCF of Numerators i.e. for 3289,3339 is 1

LCM of denominators i.e. for 896,1246 is 79744.

Thus, GCF of Fractions is 1/79744.Finally, GCF of Fractions for 3289/896, 3339/1246 is 1/79744.