Use our free GCF of Fractions Calculator tool to compute the GCF of 37/724, 12/913, 872/584 i.e 1/96507752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/724, 12/913, 872/584.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/724,12/913,872/584
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 37/724,12/913,872/584, numerators are 37,12,872
Denominators are 724,913,584
The GCF of 37,12,872 is 1 .
LCM of 724,913,584 is 96507752.
The greatest common factor of 37/724,12/913,872/584 = [GCF of 37,12,872]/[LCM of 724,913,584]= 1/96507752
Therefore, the GCF of 37/724,12/913,872/584 is 1/96507752.
To find the highest common factor of 37,12,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 37,12,872 is 1.
Lets's calculate GCF of 37,12,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 37
:1,37
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 37,12,872 . The biggest common factor number is the GCF number.
So the greatest common factor 37,12,872 is 1.
Lets's calculate LCM of 724,913,584
2 | 724, 913, 584 |
2 | 362, 913, 292 |
181, 913, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 913 x 146 = 96507752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96507752
Therefore, the GCF of Fractions 37/724,12/913,872/584 is 1/96507752
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 724,913,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,913,584) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(724,913,584) x common factors =1 x 4 = 4
LCM(724,913,584) = ( 724 × 913 × 584 ) / 4
LCM(724,913,584) = 386031008 / 4
LCM(724,913,584) = 96507752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,12,872?
The HCF of 37,12,872 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 37/724, 12/913, 872/584?
Answer: GCF of Numerators as per given numbers 37/724, 12/913, 872/584 is
GCF of Numerators i.e. for 37,12,872 is 1
LCM of denominators i.e. for 724,913,584 is 96507752.
Thus, GCF of Fractions is 1/96507752.Finally, GCF of Fractions for 37/724, 12/913, 872/584 is 1/96507752.