Use our free GCF of Fractions Calculator tool to compute the GCF of 37/268, 83/293, 708/838 i.e 1/32901556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/268, 83/293, 708/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/268,83/293,708/838
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 37/268,83/293,708/838, numerators are 37,83,708
Denominators are 268,293,838
The GCF of 37,83,708 is 1 .
LCM of 268,293,838 is 32901556.
The greatest common factor of 37/268,83/293,708/838 = [GCF of 37,83,708]/[LCM of 268,293,838]= 1/32901556
Therefore, the GCF of 37/268,83/293,708/838 is 1/32901556.
To find the highest common factor of 37,83,708, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 83 are 1, 83
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The HCF of 37,83,708 is 1.
Lets's calculate GCF of 37,83,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 37
:1,37
Now, list down the factors of 83
:1,83
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 37,83,708 . The biggest common factor number is the GCF number.
So the greatest common factor 37,83,708 is 1.
Lets's calculate LCM of 268,293,838
2 | 268, 293, 838 |
134, 293, 419 |
∴ So the LCM of the given numbers is 2 x 134 x 293 x 419 = 32901556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32901556
Therefore, the GCF of Fractions 37/268,83/293,708/838 is 1/32901556
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 268,293,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,293,838) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(268,293,838) x common factors =1 x 2 = 2
LCM(268,293,838) = ( 268 × 293 × 838 ) / 2
LCM(268,293,838) = 65803112 / 2
LCM(268,293,838) = 32901556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,83,708?
The HCF of 37,83,708 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 37/268, 83/293, 708/838?
Answer: GCF of Numerators as per given numbers 37/268, 83/293, 708/838 is
GCF of Numerators i.e. for 37,83,708 is 1
LCM of denominators i.e. for 268,293,838 is 32901556.
Thus, GCF of Fractions is 1/32901556.Finally, GCF of Fractions for 37/268, 83/293, 708/838 is 1/32901556.