Use our free GCF of Fractions Calculator tool to compute the GCF of 61/86, 666/20, 392/371 i.e 1/319060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/86, 666/20, 392/371.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/86,666/20,392/371
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 61/86,666/20,392/371, numerators are 61,666,392
Denominators are 86,20,371
The GCF of 61,666,392 is 1 .
LCM of 86,20,371 is 319060.
The greatest common factor of 61/86,666/20,392/371 = [GCF of 61,666,392]/[LCM of 86,20,371]= 1/319060
Therefore, the GCF of 61/86,666/20,392/371 is 1/319060.
To find the highest common factor of 61,666,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 61,666,392 is 1.
Lets's calculate GCF of 61,666,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 61
:1,61
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 61,666,392 . The biggest common factor number is the GCF number.
So the greatest common factor 61,666,392 is 1.
Lets's calculate LCM of 86,20,371
2 | 86, 20, 371 |
43, 10, 371 |
∴ So the LCM of the given numbers is 2 x 43 x 10 x 371 = 319060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319060
Therefore, the GCF of Fractions 61/86,666/20,392/371 is 1/319060
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 86,20,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,20,371) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,20,371) x common factors =1 x 2 = 2
LCM(86,20,371) = ( 86 × 20 × 371 ) / 2
LCM(86,20,371) = 638120 / 2
LCM(86,20,371) = 319060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 61,666,392?
The HCF of 61,666,392 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 61/86, 666/20, 392/371?
Answer: GCF of Numerators as per given numbers 61/86, 666/20, 392/371 is
GCF of Numerators i.e. for 61,666,392 is 1
LCM of denominators i.e. for 86,20,371 is 319060.
Thus, GCF of Fractions is 1/319060.Finally, GCF of Fractions for 61/86, 666/20, 392/371 is 1/319060.