How to Find GCF of 2483/266, 4810/9404?

GCF of 2483/266, 4810/9404

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 2483/266, 4810/9404 i.e 13/1250732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2483/266, 4810/9404.

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 2483/266,4810/9404?

Given fractions are 2483/266,4810/9404

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 2483/266,4810/9404, numerators are 2483,4810

Denominators are 266,9404

The GCF of 2483,4810 is 13 .

LCM of 266,9404 is 1250732.

The greatest common factor of 2483/266,4810/9404 = [GCF of 2483,4810]/[LCM of 266,9404]= 13/1250732

Therefore, the GCF of 2483/266,4810/9404 is 13/1250732.

Greatest Common Factor of 2483,4810

To find the highest common factor of 2483,4810, we have to find the factors of both numbers and list the highest common factor.

The factors of 2483 are 1, 13, 191, 2483

The factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810

The HCF of 2483,4810 is 13.

Lets's calculate GCF of 2483,4810

Greatest Common Factor (GCF) of 2483,4810 By Common Division

13	2483, 4810
	191, 370

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2483,4810 By Matching Biggest Common Factor Method

Now, list down the factors of 2483

1,13,191,2483

Now, list down the factors of 4810

1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810

Greatest Common Factor

We found the factors 2483,4810 . The biggest common factor number is the GCF number.
So the greatest common factor 2483,4810 is 13.

Lets's calculate LCM of 266,9404

Lowest Common Multiple of 266,9404 using Common Division

2	266, 9404
	133, 4702

∴ So the LCM of the given numbers is 2 x 133 x 4702 = 1250732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1250732

Therefore, the GCF of Fractions 2483/266,4810/9404 is 13/1250732

Least Common Multiple of 266,9404 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 266,9404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,9404) = 2

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

GCF(266,9404) x common factors =2 x 1 = 2

LCM(266,9404) = ( 266 × 9404 ) / 2

LCM(266,9404) = 2501464 / 2

LCM(266,9404) = 1250732

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FAQs on GCF of Fractions of 2483/266, 4810/9404

1. What is the HCF of 2483,4810?

The HCF of 2483,4810 is 13

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 2483/266, 4810/9404?

Answer: GCF of Numerators as per given numbers 2483/266, 4810/9404 is

GCF of Numerators i.e. for 2483,4810 is 13

LCM of denominators i.e. for 266,9404 is 1250732.

Thus, GCF of Fractions is 13/1250732.Finally, GCF of Fractions for 2483/266, 4810/9404 is 13/1250732.