How to Find GCF of 3213/288, 5955/6680?

GCF of 3213/288, 5955/6680

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 3213/288, 5955/6680 i.e 3/240480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3213/288, 5955/6680.

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 3213/288,5955/6680?

Given fractions are 3213/288,5955/6680

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 3213/288,5955/6680, numerators are 3213,5955

Denominators are 288,6680

The GCF of 3213,5955 is 3 .

LCM of 288,6680 is 240480.

The greatest common factor of 3213/288,5955/6680 = [GCF of 3213,5955]/[LCM of 288,6680]= 3/240480

Therefore, the GCF of 3213/288,5955/6680 is 3/240480.

Greatest Common Factor of 3213,5955

To find the highest common factor of 3213,5955, we have to find the factors of both numbers and list the highest common factor.

The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213

The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955

The HCF of 3213,5955 is 3.

Lets's calculate GCF of 3213,5955

Greatest Common Factor (GCF) of 3213,5955 By Common Division

3	3213, 5955
	1071, 1985

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3213,5955 By Matching Biggest Common Factor Method

Now, list down the factors of 3213

1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213

Now, list down the factors of 5955

1,3,5,15,397,1191,1985,5955

Greatest Common Factor

We found the factors 3213,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,5955 is 3.

Lets's calculate LCM of 288,6680

Lowest Common Multiple of 288,6680 using Common Division

2	288, 6680
2	144, 3340
2	72, 1670
	36, 835

∴ So the LCM of the given numbers is 2 x 2 x 2 x 36 x 835 = 240480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/240480

Therefore, the GCF of Fractions 3213/288,5955/6680 is 3/240480

Least Common Multiple of 288,6680 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 288,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,6680) = 8

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

GCF(288,6680) x common factors =8 x 1 = 8

LCM(288,6680) = ( 288 × 6680 ) / 8

LCM(288,6680) = 1923840 / 8

LCM(288,6680) = 240480

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3213/288, 5955/6680

1. What is the HCF of 3213,5955?

The HCF of 3213,5955 is 3

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 3213/288, 5955/6680?

Answer: GCF of Numerators as per given numbers 3213/288, 5955/6680 is

GCF of Numerators i.e. for 3213,5955 is 3

LCM of denominators i.e. for 288,6680 is 240480.

Thus, GCF of Fractions is 3/240480.Finally, GCF of Fractions for 3213/288, 5955/6680 is 3/240480.