How to Find GCF of 9273/152, 3273/1796?

GCF of 9273/152, 3273/1796

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 9273/152, 3273/1796 i.e 3/68248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9273/152, 3273/1796.

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 9273/152,3273/1796?

Given fractions are 9273/152,3273/1796

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 9273/152,3273/1796, numerators are 9273,3273

Denominators are 152,1796

The GCF of 9273,3273 is 3 .

LCM of 152,1796 is 68248.

The greatest common factor of 9273/152,3273/1796 = [GCF of 9273,3273]/[LCM of 152,1796]= 3/68248

Therefore, the GCF of 9273/152,3273/1796 is 3/68248.

Greatest Common Factor of 9273,3273

To find the highest common factor of 9273,3273, we have to find the factors of both numbers and list the highest common factor.

The factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273

The factors of 3273 are 1, 3, 1091, 3273

The HCF of 9273,3273 is 3.

Lets's calculate GCF of 9273,3273

Greatest Common Factor (GCF) of 9273,3273 By Common Division

3	9273, 3273
	3091, 1091

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

Greatest Common Factor of 9273,3273 By Matching Biggest Common Factor Method

Now, list down the factors of 9273

1,3,11,33,281,843,3091,9273

Now, list down the factors of 3273

1,3,1091,3273

Greatest Common Factor

We found the factors 9273,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 9273,3273 is 3.

Lets's calculate LCM of 152,1796

Lowest Common Multiple of 152,1796 using Common Division

2	152, 1796
2	76, 898
	38, 449

∴ So the LCM of the given numbers is 2 x 2 x 38 x 449 = 68248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68248

Therefore, the GCF of Fractions 9273/152,3273/1796 is 3/68248

Least Common Multiple of 152,1796 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 152,1796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,1796) = 4

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

GCF(152,1796) x common factors =4 x 1 = 4

LCM(152,1796) = ( 152 × 1796 ) / 4

LCM(152,1796) = 272992 / 4

LCM(152,1796) = 68248

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9273/152, 3273/1796

1. What is the HCF of 9273,3273?

The HCF of 9273,3273 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 9273/152, 3273/1796?

Answer: GCF of Numerators as per given numbers 9273/152, 3273/1796 is

GCF of Numerators i.e. for 9273,3273 is 3

LCM of denominators i.e. for 152,1796 is 68248.

Thus, GCF of Fractions is 3/68248.Finally, GCF of Fractions for 9273/152, 3273/1796 is 3/68248.