How to Find GCF of 2548/244, 3306/497?

GCF of 2548/244, 3306/497

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 2548/244, 3306/497 i.e 2/121268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2548/244, 3306/497.

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 2548/244,3306/497?

Given fractions are 2548/244,3306/497

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 2548/244,3306/497, numerators are 2548,3306

Denominators are 244,497

The GCF of 2548,3306 is 2 .

LCM of 244,497 is 121268.

The greatest common factor of 2548/244,3306/497 = [GCF of 2548,3306]/[LCM of 244,497]= 2/121268

Therefore, the GCF of 2548/244,3306/497 is 2/121268.

Greatest Common Factor of 2548,3306

To find the highest common factor of 2548,3306, we have to find the factors of both numbers and list the highest common factor.

The factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548

The factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306

The HCF of 2548,3306 is 2.

Lets's calculate GCF of 2548,3306

Greatest Common Factor (GCF) of 2548,3306 By Common Division

2	2548, 3306
	1274, 1653

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2548,3306 By Matching Biggest Common Factor Method

Now, list down the factors of 2548

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Now, list down the factors of 3306

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Greatest Common Factor

We found the factors 2548,3306 . The biggest common factor number is the GCF number.
So the greatest common factor 2548,3306 is 2.

Lets's calculate LCM of 244,497

Lowest Common Multiple of 244,497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 121268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121268

Therefore, the GCF of Fractions 2548/244,3306/497 is 2/121268

Least Common Multiple of 244,497 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 244,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,497) = 1

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

GCF(244,497) x common factors =1 x 1 = 1

LCM(244,497) = ( 244 × 497 ) / 1

LCM(244,497) = 121268 / 1

LCM(244,497) = 121268

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FAQs on GCF of Fractions of 2548/244, 3306/497

1. What is the HCF of 2548,3306?

The HCF of 2548,3306 is 2

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 2548/244, 3306/497?

Answer: GCF of Numerators as per given numbers 2548/244, 3306/497 is

GCF of Numerators i.e. for 2548,3306 is 2

LCM of denominators i.e. for 244,497 is 121268.

Thus, GCF of Fractions is 2/121268.Finally, GCF of Fractions for 2548/244, 3306/497 is 2/121268.