Use our free GCF of Fractions Calculator tool to compute the GCF of 669/58, 915/70, 195/57 i.e 3/115710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/58, 915/70, 195/57.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 669/58,915/70,195/57
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 669/58,915/70,195/57, numerators are 669,915,195
Denominators are 58,70,57
The GCF of 669,915,195 is 3 .
LCM of 58,70,57 is 115710.
The greatest common factor of 669/58,915/70,195/57 = [GCF of 669,915,195]/[LCM of 58,70,57]= 3/115710
Therefore, the GCF of 669/58,915/70,195/57 is 3/115710.
To find the highest common factor of 669,915,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 669 are 1, 3, 223, 669
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 669,915,195 is 3.
Lets's calculate GCF of 669,915,195
3 | 669, 915, 195 |
223, 305, 65 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 669
:1,3,223,669
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 669,915,195 . The biggest common factor number is the GCF number.
So the greatest common factor 669,915,195 is 3.
Lets's calculate LCM of 58,70,57
2 | 58, 70, 57 |
29, 35, 57 |
∴ So the LCM of the given numbers is 2 x 29 x 35 x 57 = 115710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115710
Therefore, the GCF of Fractions 669/58,915/70,195/57 is 3/115710
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 58,70,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,70,57) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,70,57) x common factors =1 x 2 = 2
LCM(58,70,57) = ( 58 × 70 × 57 ) / 2
LCM(58,70,57) = 231420 / 2
LCM(58,70,57) = 115710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 669,915,195?
The HCF of 669,915,195 is 3
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 669/58, 915/70, 195/57?
Answer: GCF of Numerators as per given numbers 669/58, 915/70, 195/57 is
GCF of Numerators i.e. for 669,915,195 is 3
LCM of denominators i.e. for 58,70,57 is 115710.
Thus, GCF of Fractions is 3/115710.Finally, GCF of Fractions for 669/58, 915/70, 195/57 is 3/115710.