Use our free GCF of Fractions Calculator tool to compute the GCF of 92/709, 60/189, 880/593 i.e 4/79462593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/709, 60/189, 880/593.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/709,60/189,880/593
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 92/709,60/189,880/593, numerators are 92,60,880
Denominators are 709,189,593
The GCF of 92,60,880 is 4 .
LCM of 709,189,593 is 79462593.
The greatest common factor of 92/709,60/189,880/593 = [GCF of 92,60,880]/[LCM of 709,189,593]= 4/79462593
Therefore, the GCF of 92/709,60/189,880/593 is 4/79462593.
To find the highest common factor of 92,60,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 92,60,880 is 4.
Lets's calculate GCF of 92,60,880
2 | 92, 60, 880 |
2 | 46, 30, 440 |
23, 15, 220 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 92,60,880 . The biggest common factor number is the GCF number.
So the greatest common factor 92,60,880 is 4.
Lets's calculate LCM of 709,189,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 79462593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/79462593
Therefore, the GCF of Fractions 92/709,60/189,880/593 is 4/79462593
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 709,189,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,189,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,189,593) x common factors =1 x 1 = 1
LCM(709,189,593) = ( 709 × 189 × 593 ) / 1
LCM(709,189,593) = 79462593 / 1
LCM(709,189,593) = 79462593
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,60,880?
The HCF of 92,60,880 is 4
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 92/709, 60/189, 880/593?
Answer: GCF of Numerators as per given numbers 92/709, 60/189, 880/593 is
GCF of Numerators i.e. for 92,60,880 is 4
LCM of denominators i.e. for 709,189,593 is 79462593.
Thus, GCF of Fractions is 4/79462593.Finally, GCF of Fractions for 92/709, 60/189, 880/593 is 4/79462593.