GCF of 15/311, 81/196, 824/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/311, 81/196, 824/120 i.e 1/1828680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/311, 81/196, 824/120.
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 15/311,81/196,824/120?
Given fractions are 15/311,81/196,824/120
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 15/311,81/196,824/120, numerators are 15,81,824
Denominators are 311,196,120
The GCF of 15,81,824 is 1 .
LCM of 311,196,120 is 1828680.
The greatest common factor of 15/311,81/196,824/120 = [GCF of 15,81,824]/[LCM of 311,196,120]= 1/1828680
Therefore, the GCF of 15/311,81/196,824/120 is 1/1828680.
To find the highest common factor of 15,81,824, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 81 are 1, 3, 9, 27, 81
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The HCF of 15,81,824 is 1.
Lets's calculate GCF of 15,81,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 15,81,824 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 15,81,824 . The biggest common factor number is the GCF number.
So the greatest common factor 15,81,824 is 1.
Lets's calculate LCM of 311,196,120
| 2 | 311, 196, 120 |
| 2 | 311, 98, 60 |
| 311, 49, 30 |
∴ So the LCM of the given numbers is 2 x 2 x 311 x 49 x 30 = 1828680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1828680
Therefore, the GCF of Fractions 15/311,81/196,824/120 is 1/1828680
Least Common Multiple of 311,196,120 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 311,196,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,196,120) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(311,196,120) x common factors =1 x 4 = 4
LCM(311,196,120) = ( 311 × 196 × 120 ) / 4
LCM(311,196,120) = 7314720 / 4
LCM(311,196,120) = 1828680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 15/311, 81/196, 824/120
1. What is the HCF of 15,81,824?
The HCF of 15,81,824 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 15/311, 81/196, 824/120?
Answer: GCF of Numerators as per given numbers 15/311, 81/196, 824/120 is
GCF of Numerators i.e. for 15,81,824 is 1
LCM of denominators i.e. for 311,196,120 is 1828680.
Thus, GCF of Fractions is 1/1828680.Finally, GCF of Fractions for 15/311, 81/196, 824/120 is 1/1828680.