Use our free GCF of Fractions Calculator tool to compute the GCF of 710/129, 992/225 i.e 2/9675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/129, 992/225.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/129,992/225
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 710/129,992/225, numerators are 710,992
Denominators are 129,225
The GCF of 710,992 is 2 .
LCM of 129,225 is 9675.
The greatest common factor of 710/129,992/225 = [GCF of 710,992]/[LCM of 129,225]= 2/9675
Therefore, the GCF of 710/129,992/225 is 2/9675.
To find the highest common factor of 710,992, 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 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 710,992 is 2.
Lets's calculate GCF of 710,992
2 | 710, 992 |
355, 496 |
∴ 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 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 710,992 . The biggest common factor number is the GCF number.
So the greatest common factor 710,992 is 2.
Lets's calculate LCM of 129,225
3 | 129, 225 |
43, 75 |
∴ So the LCM of the given numbers is 3 x 43 x 75 = 9675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9675
Therefore, the GCF of Fractions 710/129,992/225 is 2/9675
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 129,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,225) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,225) x common factors =3 x 1 = 3
LCM(129,225) = ( 129 × 225 ) / 3
LCM(129,225) = 29025 / 3
LCM(129,225) = 9675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 710,992?
The HCF of 710,992 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 710/129, 992/225?
Answer: GCF of Numerators as per given numbers 710/129, 992/225 is
GCF of Numerators i.e. for 710,992 is 2
LCM of denominators i.e. for 129,225 is 9675.
Thus, GCF of Fractions is 2/9675.Finally, GCF of Fractions for 710/129, 992/225 is 2/9675.