Use our free GCF of Fractions Calculator tool to compute the GCF of 87/45, 974/27, 719/442 i.e 1/59670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/45, 974/27, 719/442.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/45,974/27,719/442
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 87/45,974/27,719/442, numerators are 87,974,719
Denominators are 45,27,442
The GCF of 87,974,719 is 1 .
LCM of 45,27,442 is 59670.
The greatest common factor of 87/45,974/27,719/442 = [GCF of 87,974,719]/[LCM of 45,27,442]= 1/59670
Therefore, the GCF of 87/45,974/27,719/442 is 1/59670.
To find the highest common factor of 87,974,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 974 are 1, 2, 487, 974
The factors of 719 are 1, 719
The HCF of 87,974,719 is 1.
Lets's calculate GCF of 87,974,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 87,974,719 . The biggest common factor number is the GCF number.
So the greatest common factor 87,974,719 is 1.
Lets's calculate LCM of 45,27,442
3 | 45, 27, 442 |
3 | 15, 9, 442 |
5, 3, 442 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 3 x 442 = 59670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59670
Therefore, the GCF of Fractions 87/45,974/27,719/442 is 1/59670
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 45,27,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,27,442) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(45,27,442) x common factors =1 x 9 = 9
LCM(45,27,442) = ( 45 × 27 × 442 ) / 9
LCM(45,27,442) = 537030 / 9
LCM(45,27,442) = 59670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,974,719?
The HCF of 87,974,719 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 87/45, 974/27, 719/442?
Answer: GCF of Numerators as per given numbers 87/45, 974/27, 719/442 is
GCF of Numerators i.e. for 87,974,719 is 1
LCM of denominators i.e. for 45,27,442 is 59670.
Thus, GCF of Fractions is 1/59670.Finally, GCF of Fractions for 87/45, 974/27, 719/442 is 1/59670.