Greatest Common Factor of 6459/740, 1161/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6459/740, 1161/200

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 6459/740,1161/200

Given fractions are 6459/740,1161/200

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 6459,1161

Greatest Common Factor of Numerators i.e. GCF of 6459,1161 is 3 .

LCM of Denominators means LCM of 740,200 as per the given fractions.

LCM of 740,200 is 7400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6459,1161

GCF of Fractions 6459/740,1161/200 is 3/7400

3 6459, 1161
2153, 387

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6459,1161 By Matching Biggest Common Factor Method

Greatest Common Factor of 6459,1161 By Matching Biggest Common Factor Method

Factors of 6459

List of positive integer factors of 6459 that divides 6459 without a remainder.

1,3,2153,6459

Factors of 1161

List of positive integer factors of 1161 that divides 1161 without a remainder.

1,3,9,27,43,129,387,1161

Greatest Common Factor

We found the factors 6459,1161 . The biggest common factor number is the GCF number.
So the greatest common factor 6459,1161 is 3.

Lets's calculate LCM of 740,200

2 740, 200
2 370, 100
5 185, 50
37, 10

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 10 = 7400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7400

Therefore, the GCF of Fractions 6459/740,1161/200 is 3/7400

Least Common Multiple of 740,200 with GCF Formula

Least Common Multiple of 740,200 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 740,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,200) = 20

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

GCF(740,200) x common factors =20 x 1 = 20

LCM(740,200) = ( 740 × 200 ) / 20

LCM(740,200) = 148000 / 20

LCM(740,200) = 7400


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 6459/740, 1161/200

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 6459/740, 1161/200?

Answer: GCF of Numerators as per given numbers 6459/740, 1161/200 is

GCF of Numerators i.e. for 6459,1161 is 3

LCM of denominators i.e. for 740,200 is 7400.

Thus, GCF of Fractions is 3/7400.Finally, GCF of Fractions for 6459/740, 1161/200 is 3/7400.