Greatest Common Factor of 5410/446, 3660/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5410/446, 3660/843

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 5410/446,3660/843

Given fractions are 5410/446,3660/843

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 5410,3660

Greatest Common Factor of Numerators i.e. GCF of 5410,3660 is 10 .

LCM of Denominators means LCM of 446,843 as per the given fractions.

LCM of 446,843 is 375978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5410,3660

GCF of Fractions 5410/446,3660/843 is 10/375978

2 5410, 3660
5 2705, 1830
541, 366

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5410,3660 By Matching Biggest Common Factor Method

Greatest Common Factor of 5410,3660 By Matching Biggest Common Factor Method

Factors of 5410

List of positive integer factors of 5410 that divides 5410 without a remainder.

1,2,5,10,541,1082,2705,5410

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Greatest Common Factor

We found the factors 5410,3660 . The biggest common factor number is the GCF number.
So the greatest common factor 5410,3660 is 10.

Lets's calculate LCM of 446,843

Given numbers has no common factors except 1. So, there LCM is their product i.e 375978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/375978

Therefore, the GCF of Fractions 5410/446,3660/843 is 10/375978

Least Common Multiple of 446,843 with GCF Formula

Least Common Multiple of 446,843 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 446,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,843) = 1

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

GCF(446,843) x common factors =1 x 1 = 1

LCM(446,843) = ( 446 × 843 ) / 1

LCM(446,843) = 375978 / 1

LCM(446,843) = 375978


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 5410/446, 3660/843

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 5410/446, 3660/843?

Answer: GCF of Numerators as per given numbers 5410/446, 3660/843 is

GCF of Numerators i.e. for 5410,3660 is 10

LCM of denominators i.e. for 446,843 is 375978.

Thus, GCF of Fractions is 10/375978.Finally, GCF of Fractions for 5410/446, 3660/843 is 10/375978.