Use our free GCF of Fractions Calculator tool to compute the GCF of 51/37, 93/60, 452/44 i.e 1/24420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/37, 93/60, 452/44.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/37,93/60,452/44
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 51/37,93/60,452/44, numerators are 51,93,452
Denominators are 37,60,44
The GCF of 51,93,452 is 1 .
LCM of 37,60,44 is 24420.
The greatest common factor of 51/37,93/60,452/44 = [GCF of 51,93,452]/[LCM of 37,60,44]= 1/24420
Therefore, the GCF of 51/37,93/60,452/44 is 1/24420.
To find the highest common factor of 51,93,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 51 are 1, 3, 17, 51
The factors of 93 are 1, 3, 31, 93
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 51,93,452 is 1.
Lets's calculate GCF of 51,93,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 51,93,452 . The biggest common factor number is the GCF number.
So the greatest common factor 51,93,452 is 1.
Lets's calculate LCM of 37,60,44
2 | 37, 60, 44 |
2 | 37, 30, 22 |
37, 15, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 15 x 11 = 24420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24420
Therefore, the GCF of Fractions 51/37,93/60,452/44 is 1/24420
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 37,60,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,60,44) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(37,60,44) x common factors =1 x 4 = 4
LCM(37,60,44) = ( 37 × 60 × 44 ) / 4
LCM(37,60,44) = 97680 / 4
LCM(37,60,44) = 24420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 51,93,452?
The HCF of 51,93,452 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 51/37, 93/60, 452/44?
Answer: GCF of Numerators as per given numbers 51/37, 93/60, 452/44 is
GCF of Numerators i.e. for 51,93,452 is 1
LCM of denominators i.e. for 37,60,44 is 24420.
Thus, GCF of Fractions is 1/24420.Finally, GCF of Fractions for 51/37, 93/60, 452/44 is 1/24420.