How to Find GCF of 3301/194, 9228/1266?

GCF of 3301/194, 9228/1266

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 3301/194, 9228/1266 i.e 1/122802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3301/194, 9228/1266.

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 3301/194,9228/1266?

Given fractions are 3301/194,9228/1266

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 3301/194,9228/1266, numerators are 3301,9228

Denominators are 194,1266

The GCF of 3301,9228 is 1 .

LCM of 194,1266 is 122802.

The greatest common factor of 3301/194,9228/1266 = [GCF of 3301,9228]/[LCM of 194,1266]= 1/122802

Therefore, the GCF of 3301/194,9228/1266 is 1/122802.

Greatest Common Factor of 3301,9228

To find the highest common factor of 3301,9228, we have to find the factors of both numbers and list the highest common factor.

The factors of 3301 are 1, 3301

The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228

The HCF of 3301,9228 is 1.

Lets's calculate GCF of 3301,9228

Greatest Common Factor (GCF) of 3301,9228 By Common Division

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

Greatest Common Factor of 3301,9228 By Matching Biggest Common Factor Method

Now, list down the factors of 3301

1,3301

Now, list down the factors of 9228

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Greatest Common Factor

We found the factors 3301,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 3301,9228 is 1.

Lets's calculate LCM of 194,1266

Lowest Common Multiple of 194,1266 using Common Division

2	194, 1266
	97, 633

∴ So the LCM of the given numbers is 2 x 97 x 633 = 122802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122802

Therefore, the GCF of Fractions 3301/194,9228/1266 is 1/122802

Least Common Multiple of 194,1266 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 194,1266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,1266) = 2

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

GCF(194,1266) x common factors =2 x 1 = 2

LCM(194,1266) = ( 194 × 1266 ) / 2

LCM(194,1266) = 245604 / 2

LCM(194,1266) = 122802

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FAQs on GCF of Fractions of 3301/194, 9228/1266

1. What is the HCF of 3301,9228?

The HCF of 3301,9228 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 3301/194, 9228/1266?

Answer: GCF of Numerators as per given numbers 3301/194, 9228/1266 is

GCF of Numerators i.e. for 3301,9228 is 1

LCM of denominators i.e. for 194,1266 is 122802.

Thus, GCF of Fractions is 1/122802.Finally, GCF of Fractions for 3301/194, 9228/1266 is 1/122802.