How to Find GCF of 327/488, 9270/564?

GCF of 327/488, 9270/564

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 327/488, 9270/564 i.e 3/68808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/488, 9270/564.

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 327/488,9270/564?

Given fractions are 327/488,9270/564

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 327/488,9270/564, numerators are 327,9270

Denominators are 488,564

The GCF of 327,9270 is 3 .

LCM of 488,564 is 68808.

The greatest common factor of 327/488,9270/564 = [GCF of 327,9270]/[LCM of 488,564]= 3/68808

Therefore, the GCF of 327/488,9270/564 is 3/68808.

Greatest Common Factor of 327,9270

To find the highest common factor of 327,9270, we have to find the factors of both numbers and list the highest common factor.

The factors of 327 are 1, 3, 109, 327

The factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270

The HCF of 327,9270 is 3.

Lets's calculate GCF of 327,9270

Greatest Common Factor (GCF) of 327,9270 By Common Division

3	327, 9270
	109, 3090

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

Greatest Common Factor of 327,9270 By Matching Biggest Common Factor Method

Now, list down the factors of 327

1,3,109,327

Now, list down the factors of 9270

1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270

Greatest Common Factor

We found the factors 327,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 327,9270 is 3.

Lets's calculate LCM of 488,564

Lowest Common Multiple of 488,564 using Common Division

2	488, 564
2	244, 282
	122, 141

∴ So the LCM of the given numbers is 2 x 2 x 122 x 141 = 68808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68808

Therefore, the GCF of Fractions 327/488,9270/564 is 3/68808

Least Common Multiple of 488,564 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 488,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,564) = 4

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

GCF(488,564) x common factors =4 x 1 = 4

LCM(488,564) = ( 488 × 564 ) / 4

LCM(488,564) = 275232 / 4

LCM(488,564) = 68808

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FAQs on GCF of Fractions of 327/488, 9270/564

1. What is the HCF of 327,9270?

The HCF of 327,9270 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 327/488, 9270/564?

Answer: GCF of Numerators as per given numbers 327/488, 9270/564 is

GCF of Numerators i.e. for 327,9270 is 3

LCM of denominators i.e. for 488,564 is 68808.

Thus, GCF of Fractions is 3/68808.Finally, GCF of Fractions for 327/488, 9270/564 is 3/68808.