Use our free GCF of Fractions Calculator tool to compute the GCF of 204/452, 870/268 i.e 6/30284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/452, 870/268.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/452,870/268
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 204/452,870/268, numerators are 204,870
Denominators are 452,268
The GCF of 204,870 is 6 .
LCM of 452,268 is 30284.
The greatest common factor of 204/452,870/268 = [GCF of 204,870]/[LCM of 452,268]= 6/30284
Therefore, the GCF of 204/452,870/268 is 6/30284.
To find the highest common factor of 204,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 204,870 is 6.
Lets's calculate GCF of 204,870
2 | 204, 870 |
3 | 102, 435 |
34, 145 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
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 204,870 . The biggest common factor number is the GCF number.
So the greatest common factor 204,870 is 6.
Lets's calculate LCM of 452,268
2 | 452, 268 |
2 | 226, 134 |
113, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 67 = 30284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/30284
Therefore, the GCF of Fractions 204/452,870/268 is 6/30284
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 452,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,268) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,268) x common factors =4 x 1 = 4
LCM(452,268) = ( 452 × 268 ) / 4
LCM(452,268) = 121136 / 4
LCM(452,268) = 30284
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 204,870?
The HCF of 204,870 is 6
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 204/452, 870/268?
Answer: GCF of Numerators as per given numbers 204/452, 870/268 is
GCF of Numerators i.e. for 204,870 is 6
LCM of denominators i.e. for 452,268 is 30284.
Thus, GCF of Fractions is 6/30284.Finally, GCF of Fractions for 204/452, 870/268 is 6/30284.