Greatest Common Factor of 241/58, 274/65, 603/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 241/58, 274/65, 603/735

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 241/58,274/65,603/735

Given fractions are 241/58,274/65,603/735

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 241,274,603

Greatest Common Factor of Numerators i.e. GCF of 241,274,603 is 1 .

LCM of Denominators means LCM of 58,65,735 as per the given fractions.

LCM of 58,65,735 is 554190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,274,603

GCF of Fractions 241/58,274/65,603/735 is 1/554190

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

Greatest Common Factor of 241,274,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,274,603 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 241,274,603 . The biggest common factor number is the GCF number.
So the greatest common factor 241,274,603 is 1.


Lets's calculate LCM of 58,65,735

5 58, 65, 735
58, 13, 147

∴ So the LCM of the given numbers is 5 x 58 x 13 x 147 = 554190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554190

Therefore, the GCF of Fractions 241/58,274/65,603/735 is 1/554190

Least Common Multiple of 58,65,735 with GCF Formula

Least Common Multiple of 58,65,735 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,65,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,65,735) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(58,65,735) x common factors =1 x 5 = 5

LCM(58,65,735) = ( 58 × 65 × 735 ) / 5

LCM(58,65,735) = 2770950 / 5

LCM(58,65,735) = 554190


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 241/58, 274/65, 603/735

1. 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.

2. What is the GCF of Fractions for 241/58, 274/65, 603/735?

Answer: GCF of Numerators as per given numbers 241/58, 274/65, 603/735 is

GCF of Numerators i.e. for 241,274,603 is 1

LCM of denominators i.e. for 58,65,735 is 554190.

Thus, GCF of Fractions is 1/554190.Finally, GCF of Fractions for 241/58, 274/65, 603/735 is 1/554190.