GCF of 111/306, 454/799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 111/306, 454/799 i.e 1/14382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 111/306, 454/799.
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 111/306,454/799?
Given fractions are 111/306,454/799
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 111/306,454/799, numerators are 111,454
Denominators are 306,799
The GCF of 111,454 is 1 .
LCM of 306,799 is 14382.
The greatest common factor of 111/306,454/799 = [GCF of 111,454]/[LCM of 306,799]= 1/14382
Therefore, the GCF of 111/306,454/799 is 1/14382.
To find the highest common factor of 111,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 111 are 1, 3, 37, 111
The factors of 454 are 1, 2, 227, 454
The HCF of 111,454 is 1.
Lets's calculate GCF of 111,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 111,454 By Matching Biggest Common Factor Method
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 111,454 . The biggest common factor number is the GCF number.
So the greatest common factor 111,454 is 1.
Lets's calculate LCM of 306,799
| 17 | 306, 799 |
| 18, 47 |
∴ So the LCM of the given numbers is 17 x 18 x 47 = 14382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14382
Therefore, the GCF of Fractions 111/306,454/799 is 1/14382
Least Common Multiple of 306,799 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 306,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,799) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(306,799) x common factors =17 x 1 = 17
LCM(306,799) = ( 306 × 799 ) / 17
LCM(306,799) = 244494 / 17
LCM(306,799) = 14382
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 111/306, 454/799
1. What is the HCF of 111,454?
The HCF of 111,454 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 111/306, 454/799?
Answer: GCF of Numerators as per given numbers 111/306, 454/799 is
GCF of Numerators i.e. for 111,454 is 1
LCM of denominators i.e. for 306,799 is 14382.
Thus, GCF of Fractions is 1/14382.Finally, GCF of Fractions for 111/306, 454/799 is 1/14382.