Use our free GCF of Fractions Calculator tool to compute the GCF of 666/727, 259/370 i.e 37/268990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/727, 259/370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/727,259/370
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 666/727,259/370, numerators are 666,259
Denominators are 727,370
The GCF of 666,259 is 37 .
LCM of 727,370 is 268990.
The greatest common factor of 666/727,259/370 = [GCF of 666,259]/[LCM of 727,370]= 37/268990
Therefore, the GCF of 666/727,259/370 is 37/268990.
To find the highest common factor of 666,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 259 are 1, 7, 37, 259
The HCF of 666,259 is 37.
Lets's calculate GCF of 666,259
37 | 666, 259 |
18, 7 |
∴ So the GCF of the given numbers is 37 = 37
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 666,259 . The biggest common factor number is the GCF number.
So the greatest common factor 666,259 is 37.
Lets's calculate LCM of 727,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 268990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/268990
Therefore, the GCF of Fractions 666/727,259/370 is 37/268990
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 727,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,370) x common factors =1 x 1 = 1
LCM(727,370) = ( 727 × 370 ) / 1
LCM(727,370) = 268990 / 1
LCM(727,370) = 268990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 666,259?
The HCF of 666,259 is 37
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 666/727, 259/370?
Answer: GCF of Numerators as per given numbers 666/727, 259/370 is
GCF of Numerators i.e. for 666,259 is 37
LCM of denominators i.e. for 727,370 is 268990.
Thus, GCF of Fractions is 37/268990.Finally, GCF of Fractions for 666/727, 259/370 is 37/268990.