GCF of 239/306, 343/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 239/306, 343/900 i.e 1/15300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/306, 343/900.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 239/306,343/900?
Given fractions are 239/306,343/900
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 239/306,343/900, numerators are 239,343
Denominators are 306,900
The GCF of 239,343 is 1 .
LCM of 306,900 is 15300.
The greatest common factor of 239/306,343/900 = [GCF of 239,343]/[LCM of 306,900]= 1/15300
Therefore, the GCF of 239/306,343/900 is 1/15300.
To find the highest common factor of 239,343, we have to find the factors of both numbers and list the highest common factor.
The factors of 239 are 1, 239
The factors of 343 are 1, 7, 49, 343
The HCF of 239,343 is 1.
Lets's calculate GCF of 239,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 239,343 By Matching Biggest Common Factor Method
Now, list down the factors of 239
:1,239
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 239,343 . The biggest common factor number is the GCF number.
So the greatest common factor 239,343 is 1.
Lets's calculate LCM of 306,900
| 2 | 306, 900 |
| 3 | 153, 450 |
| 3 | 51, 150 |
| 17, 50 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 50 = 15300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15300
Therefore, the GCF of Fractions 239/306,343/900 is 1/15300
Least Common Multiple of 306,900 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 306,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,900) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(306,900) x common factors =18 x 1 = 18
LCM(306,900) = ( 306 × 900 ) / 18
LCM(306,900) = 275400 / 18
LCM(306,900) = 15300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 239/306, 343/900
1. What is the HCF of 239,343?
The HCF of 239,343 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 239/306, 343/900?
Answer: GCF of Numerators as per given numbers 239/306, 343/900 is
GCF of Numerators i.e. for 239,343 is 1
LCM of denominators i.e. for 306,900 is 15300.
Thus, GCF of Fractions is 1/15300.Finally, GCF of Fractions for 239/306, 343/900 is 1/15300.