Use our free GCF of Fractions Calculator tool to compute the GCF of 48/915, 374/415, 519/134 i.e 1/10176630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/915, 374/415, 519/134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/915,374/415,519/134
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 48/915,374/415,519/134, numerators are 48,374,519
Denominators are 915,415,134
The GCF of 48,374,519 is 1 .
LCM of 915,415,134 is 10176630.
The greatest common factor of 48/915,374/415,519/134 = [GCF of 48,374,519]/[LCM of 915,415,134]= 1/10176630
Therefore, the GCF of 48/915,374/415,519/134 is 1/10176630.
To find the highest common factor of 48,374,519, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 519 are 1, 3, 173, 519
The HCF of 48,374,519 is 1.
Lets's calculate GCF of 48,374,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 519
:1,3,173,519
Greatest Common Factor
We found the factors 48,374,519 . The biggest common factor number is the GCF number.
So the greatest common factor 48,374,519 is 1.
Lets's calculate LCM of 915,415,134
5 | 915, 415, 134 |
183, 83, 134 |
∴ So the LCM of the given numbers is 5 x 183 x 83 x 134 = 10176630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10176630
Therefore, the GCF of Fractions 48/915,374/415,519/134 is 1/10176630
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 915,415,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,415,134) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(915,415,134) x common factors =1 x 5 = 5
LCM(915,415,134) = ( 915 × 415 × 134 ) / 5
LCM(915,415,134) = 50883150 / 5
LCM(915,415,134) = 10176630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,374,519?
The HCF of 48,374,519 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 48/915, 374/415, 519/134?
Answer: GCF of Numerators as per given numbers 48/915, 374/415, 519/134 is
GCF of Numerators i.e. for 48,374,519 is 1
LCM of denominators i.e. for 915,415,134 is 10176630.
Thus, GCF of Fractions is 1/10176630.Finally, GCF of Fractions for 48/915, 374/415, 519/134 is 1/10176630.