How to Find GCF of 3281/360, 8764/5292?

GCF of 3281/360, 8764/5292

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 3281/360, 8764/5292 i.e 1/52920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3281/360, 8764/5292.

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 3281/360,8764/5292?

Given fractions are 3281/360,8764/5292

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 3281/360,8764/5292, numerators are 3281,8764

Denominators are 360,5292

The GCF of 3281,8764 is 1 .

LCM of 360,5292 is 52920.

The greatest common factor of 3281/360,8764/5292 = [GCF of 3281,8764]/[LCM of 360,5292]= 1/52920

Therefore, the GCF of 3281/360,8764/5292 is 1/52920.

Greatest Common Factor of 3281,8764

To find the highest common factor of 3281,8764, we have to find the factors of both numbers and list the highest common factor.

The factors of 3281 are 1, 17, 193, 3281

The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

The HCF of 3281,8764 is 1.

Lets's calculate GCF of 3281,8764

Greatest Common Factor (GCF) of 3281,8764 By Common Division

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

Greatest Common Factor of 3281,8764 By Matching Biggest Common Factor Method

Now, list down the factors of 3281

1,17,193,3281

Now, list down the factors of 8764

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors 3281,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 3281,8764 is 1.

Lets's calculate LCM of 360,5292

Lowest Common Multiple of 360,5292 using Common Division

2	360, 5292
2	180, 2646
3	90, 1323
3	30, 441
	10, 147

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 x 147 = 52920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52920

Therefore, the GCF of Fractions 3281/360,8764/5292 is 1/52920

Least Common Multiple of 360,5292 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 360,5292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,5292) = 36

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

GCF(360,5292) x common factors =36 x 1 = 36

LCM(360,5292) = ( 360 × 5292 ) / 36

LCM(360,5292) = 1905120 / 36

LCM(360,5292) = 52920

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FAQs on GCF of Fractions of 3281/360, 8764/5292

1. What is the HCF of 3281,8764?

The HCF of 3281,8764 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 3281/360, 8764/5292?

Answer: GCF of Numerators as per given numbers 3281/360, 8764/5292 is

GCF of Numerators i.e. for 3281,8764 is 1

LCM of denominators i.e. for 360,5292 is 52920.

Thus, GCF of Fractions is 1/52920.Finally, GCF of Fractions for 3281/360, 8764/5292 is 1/52920.