Greatest Common Factor of 3548/24, 3610/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3548/24, 3610/741

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 3548/24,3610/741

Given fractions are 3548/24,3610/741

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 3548,3610

Greatest Common Factor of Numerators i.e. GCF of 3548,3610 is 2 .

LCM of Denominators means LCM of 24,741 as per the given fractions.

LCM of 24,741 is 5928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3548,3610

GCF of Fractions 3548/24,3610/741 is 2/5928

2 3548, 3610
1774, 1805

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

Greatest Common Factor of 3548,3610 By Matching Biggest Common Factor Method

Greatest Common Factor of 3548,3610 By Matching Biggest Common Factor Method

Factors of 3548

List of positive integer factors of 3548 that divides 3548 without a remainder.

1,2,4,887,1774,3548

Factors of 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 3548,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 3548,3610 is 2.

Lets's calculate LCM of 24,741

3 24, 741
8, 247

∴ So the LCM of the given numbers is 3 x 8 x 247 = 5928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5928

Therefore, the GCF of Fractions 3548/24,3610/741 is 2/5928

Least Common Multiple of 24,741 with GCF Formula

Least Common Multiple of 24,741 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 24,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,741) = 3

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

GCF(24,741) x common factors =3 x 1 = 3

LCM(24,741) = ( 24 × 741 ) / 3

LCM(24,741) = 17784 / 3

LCM(24,741) = 5928


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3548/24, 3610/741

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 3548/24, 3610/741?

Answer: GCF of Numerators as per given numbers 3548/24, 3610/741 is

GCF of Numerators i.e. for 3548,3610 is 2

LCM of denominators i.e. for 24,741 is 5928.

Thus, GCF of Fractions is 2/5928.Finally, GCF of Fractions for 3548/24, 3610/741 is 2/5928.