Use our free GCF of Fractions Calculator tool to compute the GCF of 710/474, 206/756 i.e 2/59724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/474, 206/756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/474,206/756
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 710/474,206/756, numerators are 710,206
Denominators are 474,756
The GCF of 710,206 is 2 .
LCM of 474,756 is 59724.
The greatest common factor of 710/474,206/756 = [GCF of 710,206]/[LCM of 474,756]= 2/59724
Therefore, the GCF of 710/474,206/756 is 2/59724.
To find the highest common factor of 710,206, 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 206 are 1, 2, 103, 206
The HCF of 710,206 is 2.
Lets's calculate GCF of 710,206
2 | 710, 206 |
355, 103 |
∴ 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 206
:1,2,103,206
Greatest Common Factor
We found the factors 710,206 . The biggest common factor number is the GCF number.
So the greatest common factor 710,206 is 2.
Lets's calculate LCM of 474,756
2 | 474, 756 |
3 | 237, 378 |
79, 126 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 126 = 59724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59724
Therefore, the GCF of Fractions 710/474,206/756 is 2/59724
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 474,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,756) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,756) x common factors =6 x 1 = 6
LCM(474,756) = ( 474 × 756 ) / 6
LCM(474,756) = 358344 / 6
LCM(474,756) = 59724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 710,206?
The HCF of 710,206 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 710/474, 206/756?
Answer: GCF of Numerators as per given numbers 710/474, 206/756 is
GCF of Numerators i.e. for 710,206 is 2
LCM of denominators i.e. for 474,756 is 59724.
Thus, GCF of Fractions is 2/59724.Finally, GCF of Fractions for 710/474, 206/756 is 2/59724.