How to Find GCF of 5082/663, 6305/2483?

GCF of 5082/663, 6305/2483

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 5082/663, 6305/2483 i.e 1/126633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5082/663, 6305/2483.

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 5082/663,6305/2483?

Given fractions are 5082/663,6305/2483

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 5082/663,6305/2483, numerators are 5082,6305

Denominators are 663,2483

The GCF of 5082,6305 is 1 .

LCM of 663,2483 is 126633.

The greatest common factor of 5082/663,6305/2483 = [GCF of 5082,6305]/[LCM of 663,2483]= 1/126633

Therefore, the GCF of 5082/663,6305/2483 is 1/126633.

Greatest Common Factor of 5082,6305

To find the highest common factor of 5082,6305, we have to find the factors of both numbers and list the highest common factor.

The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082

The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305

The HCF of 5082,6305 is 1.

Lets's calculate GCF of 5082,6305

Greatest Common Factor (GCF) of 5082,6305 By Common Division

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

Greatest Common Factor of 5082,6305 By Matching Biggest Common Factor Method

Now, list down the factors of 5082

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

Now, list down the factors of 6305

1,5,13,65,97,485,1261,6305

Greatest Common Factor

We found the factors 5082,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 5082,6305 is 1.

Lets's calculate LCM of 663,2483

Lowest Common Multiple of 663,2483 using Common Division

13	663, 2483
	51, 191

∴ So the LCM of the given numbers is 13 x 51 x 191 = 126633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126633

Therefore, the GCF of Fractions 5082/663,6305/2483 is 1/126633

Least Common Multiple of 663,2483 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 663,2483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,2483) = 13

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

GCF(663,2483) x common factors =13 x 1 = 13

LCM(663,2483) = ( 663 × 2483 ) / 13

LCM(663,2483) = 1646229 / 13

LCM(663,2483) = 126633

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5082/663, 6305/2483

1. What is the HCF of 5082,6305?

The HCF of 5082,6305 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 5082/663, 6305/2483?

Answer: GCF of Numerators as per given numbers 5082/663, 6305/2483 is

GCF of Numerators i.e. for 5082,6305 is 1

LCM of denominators i.e. for 663,2483 is 126633.

Thus, GCF of Fractions is 1/126633.Finally, GCF of Fractions for 5082/663, 6305/2483 is 1/126633.