Greatest Common Factor of 1259/366, 5829/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1259/366, 5829/900

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 1259/366,5829/900

Given fractions are 1259/366,5829/900

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 1259,5829

Greatest Common Factor of Numerators i.e. GCF of 1259,5829 is 1 .

LCM of Denominators means LCM of 366,900 as per the given fractions.

LCM of 366,900 is 54900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1259,5829

GCF of Fractions 1259/366,5829/900 is 1/54900

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

Greatest Common Factor of 1259,5829 By Matching Biggest Common Factor Method

Greatest Common Factor of 1259,5829 By Matching Biggest Common Factor Method

Factors of 1259

List of positive integer factors of 1259 that divides 1259 without a remainder.

1,1259

Factors of 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1,3,29,67,87,201,1943,5829

Greatest Common Factor

We found the factors 1259,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 1259,5829 is 1.

Lets's calculate LCM of 366,900

2 366, 900
3 183, 450
61, 150

∴ So the LCM of the given numbers is 2 x 3 x 61 x 150 = 54900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54900

Therefore, the GCF of Fractions 1259/366,5829/900 is 1/54900

Least Common Multiple of 366,900 with GCF Formula

Least Common Multiple of 366,900 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 366,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,900) = 6

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

GCF(366,900) x common factors =6 x 1 = 6

LCM(366,900) = ( 366 × 900 ) / 6

LCM(366,900) = 329400 / 6

LCM(366,900) = 54900


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 1259/366, 5829/900

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 1259/366, 5829/900?

Answer: GCF of Numerators as per given numbers 1259/366, 5829/900 is

GCF of Numerators i.e. for 1259,5829 is 1

LCM of denominators i.e. for 366,900 is 54900.

Thus, GCF of Fractions is 1/54900.Finally, GCF of Fractions for 1259/366, 5829/900 is 1/54900.