Use our free GCF of Fractions Calculator tool to compute the GCF of 86/68, 333/54, 419/495 i.e 1/100980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/68, 333/54, 419/495.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/68,333/54,419/495
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 86/68,333/54,419/495, numerators are 86,333,419
Denominators are 68,54,495
The GCF of 86,333,419 is 1 .
LCM of 68,54,495 is 100980.
The greatest common factor of 86/68,333/54,419/495 = [GCF of 86,333,419]/[LCM of 68,54,495]= 1/100980
Therefore, the GCF of 86/68,333/54,419/495 is 1/100980.
To find the highest common factor of 86,333,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 333 are 1, 3, 9, 37, 111, 333
The factors of 419 are 1, 419
The HCF of 86,333,419 is 1.
Lets's calculate GCF of 86,333,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 333
:1,3,9,37,111,333
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 86,333,419 . The biggest common factor number is the GCF number.
So the greatest common factor 86,333,419 is 1.
Lets's calculate LCM of 68,54,495
2 | 68, 54, 495 |
3 | 34, 27, 495 |
3 | 34, 9, 165 |
34, 3, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 3 x 55 = 100980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100980
Therefore, the GCF of Fractions 86/68,333/54,419/495 is 1/100980
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 68,54,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,54,495) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(68,54,495) x common factors =1 x 18 = 18
LCM(68,54,495) = ( 68 × 54 × 495 ) / 18
LCM(68,54,495) = 1817640 / 18
LCM(68,54,495) = 100980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,333,419?
The HCF of 86,333,419 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 86/68, 333/54, 419/495?
Answer: GCF of Numerators as per given numbers 86/68, 333/54, 419/495 is
GCF of Numerators i.e. for 86,333,419 is 1
LCM of denominators i.e. for 68,54,495 is 100980.
Thus, GCF of Fractions is 1/100980.Finally, GCF of Fractions for 86/68, 333/54, 419/495 is 1/100980.