How to Find GCF of 3282/912, 3199/4584?

GCF of 3282/912, 3199/4584

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 3282/912, 3199/4584 i.e 1/174192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3282/912, 3199/4584.

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 3282/912,3199/4584?

Given fractions are 3282/912,3199/4584

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 3282/912,3199/4584, numerators are 3282,3199

Denominators are 912,4584

The GCF of 3282,3199 is 1 .

LCM of 912,4584 is 174192.

The greatest common factor of 3282/912,3199/4584 = [GCF of 3282,3199]/[LCM of 912,4584]= 1/174192

Therefore, the GCF of 3282/912,3199/4584 is 1/174192.

Greatest Common Factor of 3282,3199

To find the highest common factor of 3282,3199, we have to find the factors of both numbers and list the highest common factor.

The factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282

The factors of 3199 are 1, 7, 457, 3199

The HCF of 3282,3199 is 1.

Lets's calculate GCF of 3282,3199

Greatest Common Factor (GCF) of 3282,3199 By Common Division

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

Greatest Common Factor of 3282,3199 By Matching Biggest Common Factor Method

Now, list down the factors of 3282

1,2,3,6,547,1094,1641,3282

Now, list down the factors of 3199

1,7,457,3199

Greatest Common Factor

We found the factors 3282,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 3282,3199 is 1.

Lets's calculate LCM of 912,4584

Lowest Common Multiple of 912,4584 using Common Division

2	912, 4584
2	456, 2292
2	228, 1146
3	114, 573
	38, 191

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 38 x 191 = 174192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174192

Therefore, the GCF of Fractions 3282/912,3199/4584 is 1/174192

Least Common Multiple of 912,4584 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 912,4584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,4584) = 24

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

GCF(912,4584) x common factors =24 x 1 = 24

LCM(912,4584) = ( 912 × 4584 ) / 24

LCM(912,4584) = 4180608 / 24

LCM(912,4584) = 174192

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FAQs on GCF of Fractions of 3282/912, 3199/4584

1. What is the HCF of 3282,3199?

The HCF of 3282,3199 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 3282/912, 3199/4584?

Answer: GCF of Numerators as per given numbers 3282/912, 3199/4584 is

GCF of Numerators i.e. for 3282,3199 is 1

LCM of denominators i.e. for 912,4584 is 174192.

Thus, GCF of Fractions is 1/174192.Finally, GCF of Fractions for 3282/912, 3199/4584 is 1/174192.