Use our free GCF of Fractions Calculator tool to compute the GCF of 39/20, 151/41, 425/451 i.e 1/9020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/20, 151/41, 425/451.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/20,151/41,425/451
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 39/20,151/41,425/451, numerators are 39,151,425
Denominators are 20,41,451
The GCF of 39,151,425 is 1 .
LCM of 20,41,451 is 9020.
The greatest common factor of 39/20,151/41,425/451 = [GCF of 39,151,425]/[LCM of 20,41,451]= 1/9020
Therefore, the GCF of 39/20,151/41,425/451 is 1/9020.
To find the highest common factor of 39,151,425, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 151 are 1, 151
The factors of 425 are 1, 5, 17, 25, 85, 425
The HCF of 39,151,425 is 1.
Lets's calculate GCF of 39,151,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 151
:1,151
Now, list down the factors of 425
:1,5,17,25,85,425
Greatest Common Factor
We found the factors 39,151,425 . The biggest common factor number is the GCF number.
So the greatest common factor 39,151,425 is 1.
Lets's calculate LCM of 20,41,451
41 | 20, 41, 451 |
20, 1, 11 |
∴ So the LCM of the given numbers is 41 x 20 x 1 x 11 = 9020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9020
Therefore, the GCF of Fractions 39/20,151/41,425/451 is 1/9020
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 20,41,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,41,451) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(20,41,451) x common factors =1 x 41 = 41
LCM(20,41,451) = ( 20 × 41 × 451 ) / 41
LCM(20,41,451) = 369820 / 41
LCM(20,41,451) = 9020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,151,425?
The HCF of 39,151,425 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 39/20, 151/41, 425/451?
Answer: GCF of Numerators as per given numbers 39/20, 151/41, 425/451 is
GCF of Numerators i.e. for 39,151,425 is 1
LCM of denominators i.e. for 20,41,451 is 9020.
Thus, GCF of Fractions is 1/9020.Finally, GCF of Fractions for 39/20, 151/41, 425/451 is 1/9020.