Use our free GCF of Fractions Calculator tool to compute the GCF of 711/423, 870/531 i.e 3/24957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/423, 870/531.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 711/423,870/531
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 711/423,870/531, numerators are 711,870
Denominators are 423,531
The GCF of 711,870 is 3 .
LCM of 423,531 is 24957.
The greatest common factor of 711/423,870/531 = [GCF of 711,870]/[LCM of 423,531]= 3/24957
Therefore, the GCF of 711/423,870/531 is 3/24957.
To find the highest common factor of 711,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 711,870 is 3.
Lets's calculate GCF of 711,870
3 | 711, 870 |
237, 290 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 711,870 . The biggest common factor number is the GCF number.
So the greatest common factor 711,870 is 3.
Lets's calculate LCM of 423,531
3 | 423, 531 |
3 | 141, 177 |
47, 59 |
∴ So the LCM of the given numbers is 3 x 3 x 47 x 59 = 24957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24957
Therefore, the GCF of Fractions 711/423,870/531 is 3/24957
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 423,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,531) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(423,531) x common factors =9 x 1 = 9
LCM(423,531) = ( 423 × 531 ) / 9
LCM(423,531) = 224613 / 9
LCM(423,531) = 24957
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 711,870?
The HCF of 711,870 is 3
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 711/423, 870/531?
Answer: GCF of Numerators as per given numbers 711/423, 870/531 is
GCF of Numerators i.e. for 711,870 is 3
LCM of denominators i.e. for 423,531 is 24957.
Thus, GCF of Fractions is 3/24957.Finally, GCF of Fractions for 711/423, 870/531 is 3/24957.