How to Find GCF of 3603/260, 4838/6370?

GCF of 3603/260, 4838/6370

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 3603/260, 4838/6370 i.e 1/12740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3603/260, 4838/6370.

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 3603/260,4838/6370?

Given fractions are 3603/260,4838/6370

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 3603/260,4838/6370, numerators are 3603,4838

Denominators are 260,6370

The GCF of 3603,4838 is 1 .

LCM of 260,6370 is 12740.

The greatest common factor of 3603/260,4838/6370 = [GCF of 3603,4838]/[LCM of 260,6370]= 1/12740

Therefore, the GCF of 3603/260,4838/6370 is 1/12740.

Greatest Common Factor of 3603,4838

To find the highest common factor of 3603,4838, we have to find the factors of both numbers and list the highest common factor.

The factors of 3603 are 1, 3, 1201, 3603

The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838

The HCF of 3603,4838 is 1.

Lets's calculate GCF of 3603,4838

Greatest Common Factor (GCF) of 3603,4838 By Common Division

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

Greatest Common Factor of 3603,4838 By Matching Biggest Common Factor Method

Now, list down the factors of 3603

1,3,1201,3603

Now, list down the factors of 4838

1,2,41,59,82,118,2419,4838

Greatest Common Factor

We found the factors 3603,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 3603,4838 is 1.

Lets's calculate LCM of 260,6370

Lowest Common Multiple of 260,6370 using Common Division

2	260, 6370
5	130, 3185
13	26, 637
	2, 49

∴ So the LCM of the given numbers is 2 x 5 x 13 x 2 x 49 = 12740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12740

Therefore, the GCF of Fractions 3603/260,4838/6370 is 1/12740

Least Common Multiple of 260,6370 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 260,6370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,6370) = 130

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

GCF(260,6370) x common factors =130 x 1 = 130

LCM(260,6370) = ( 260 × 6370 ) / 130

LCM(260,6370) = 1656200 / 130

LCM(260,6370) = 12740

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3603/260, 4838/6370

1. What is the HCF of 3603,4838?

The HCF of 3603,4838 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 3603/260, 4838/6370?

Answer: GCF of Numerators as per given numbers 3603/260, 4838/6370 is

GCF of Numerators i.e. for 3603,4838 is 1

LCM of denominators i.e. for 260,6370 is 12740.

Thus, GCF of Fractions is 1/12740.Finally, GCF of Fractions for 3603/260, 4838/6370 is 1/12740.