Use our free GCF of Fractions Calculator tool to compute the GCF of 710/473, 216/902 i.e 2/38786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/473, 216/902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/473,216/902
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 710/473,216/902, numerators are 710,216
Denominators are 473,902
The GCF of 710,216 is 2 .
LCM of 473,902 is 38786.
The greatest common factor of 710/473,216/902 = [GCF of 710,216]/[LCM of 473,902]= 2/38786
Therefore, the GCF of 710/473,216/902 is 2/38786.
To find the highest common factor of 710,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 710,216 is 2.
Lets's calculate GCF of 710,216
2 | 710, 216 |
355, 108 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 710,216 . The biggest common factor number is the GCF number.
So the greatest common factor 710,216 is 2.
Lets's calculate LCM of 473,902
11 | 473, 902 |
43, 82 |
∴ So the LCM of the given numbers is 11 x 43 x 82 = 38786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38786
Therefore, the GCF of Fractions 710/473,216/902 is 2/38786
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 473,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,902) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(473,902) x common factors =11 x 1 = 11
LCM(473,902) = ( 473 × 902 ) / 11
LCM(473,902) = 426646 / 11
LCM(473,902) = 38786
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 710,216?
The HCF of 710,216 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 710/473, 216/902?
Answer: GCF of Numerators as per given numbers 710/473, 216/902 is
GCF of Numerators i.e. for 710,216 is 2
LCM of denominators i.e. for 473,902 is 38786.
Thus, GCF of Fractions is 2/38786.Finally, GCF of Fractions for 710/473, 216/902 is 2/38786.