Use our free GCF of Fractions Calculator tool to compute the GCF of 146/666, 710/575 i.e 2/382950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/666, 710/575.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/666,710/575
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 146/666,710/575, numerators are 146,710
Denominators are 666,575
The GCF of 146,710 is 2 .
LCM of 666,575 is 382950.
The greatest common factor of 146/666,710/575 = [GCF of 146,710]/[LCM of 666,575]= 2/382950
Therefore, the GCF of 146/666,710/575 is 2/382950.
To find the highest common factor of 146,710, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The HCF of 146,710 is 2.
Lets's calculate GCF of 146,710
2 | 146, 710 |
73, 355 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 146,710 . The biggest common factor number is the GCF number.
So the greatest common factor 146,710 is 2.
Lets's calculate LCM of 666,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 382950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382950
Therefore, the GCF of Fractions 146/666,710/575 is 2/382950
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 666,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(666,575) x common factors =1 x 1 = 1
LCM(666,575) = ( 666 × 575 ) / 1
LCM(666,575) = 382950 / 1
LCM(666,575) = 382950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 146,710?
The HCF of 146,710 is 2
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 146/666, 710/575?
Answer: GCF of Numerators as per given numbers 146/666, 710/575 is
GCF of Numerators i.e. for 146,710 is 2
LCM of denominators i.e. for 666,575 is 382950.
Thus, GCF of Fractions is 2/382950.Finally, GCF of Fractions for 146/666, 710/575 is 2/382950.