Greatest Common Factor of 3704/21, 3744/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3704/21, 3744/566

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 3704/21,3744/566

Given fractions are 3704/21,3744/566

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 3704,3744

Greatest Common Factor of Numerators i.e. GCF of 3704,3744 is 8 .

LCM of Denominators means LCM of 21,566 as per the given fractions.

LCM of 21,566 is 11886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3704,3744

GCF of Fractions 3704/21,3744/566 is 8/11886

2 3704, 3744
2 1852, 1872
2 926, 936
463, 468

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3704,3744 By Matching Biggest Common Factor Method

Greatest Common Factor of 3704,3744 By Matching Biggest Common Factor Method

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1,2,4,8,463,926,1852,3704

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors 3704,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 3704,3744 is 8.

Lets's calculate LCM of 21,566

Given numbers has no common factors except 1. So, there LCM is their product i.e 11886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/11886

Therefore, the GCF of Fractions 3704/21,3744/566 is 8/11886

Least Common Multiple of 21,566 with GCF Formula

Least Common Multiple of 21,566 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 21,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,566) = 1

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

GCF(21,566) x common factors =1 x 1 = 1

LCM(21,566) = ( 21 × 566 ) / 1

LCM(21,566) = 11886 / 1

LCM(21,566) = 11886


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 3704/21, 3744/566

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 3704/21, 3744/566?

Answer: GCF of Numerators as per given numbers 3704/21, 3744/566 is

GCF of Numerators i.e. for 3704,3744 is 8

LCM of denominators i.e. for 21,566 is 11886.

Thus, GCF of Fractions is 8/11886.Finally, GCF of Fractions for 3704/21, 3744/566 is 8/11886.