Use our free GCF of Fractions Calculator tool to compute the GCF of 70/284, 58/938, 270/146 i.e 2/9723308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/284, 58/938, 270/146.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/284,58/938,270/146
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 70/284,58/938,270/146, numerators are 70,58,270
Denominators are 284,938,146
The GCF of 70,58,270 is 2 .
LCM of 284,938,146 is 9723308.
The greatest common factor of 70/284,58/938,270/146 = [GCF of 70,58,270]/[LCM of 284,938,146]= 2/9723308
Therefore, the GCF of 70/284,58/938,270/146 is 2/9723308.
To find the highest common factor of 70,58,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 58 are 1, 2, 29, 58
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 70,58,270 is 2.
Lets's calculate GCF of 70,58,270
2 | 70, 58, 270 |
35, 29, 135 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 70,58,270 . The biggest common factor number is the GCF number.
So the greatest common factor 70,58,270 is 2.
Lets's calculate LCM of 284,938,146
2 | 284, 938, 146 |
142, 469, 73 |
∴ So the LCM of the given numbers is 2 x 142 x 469 x 73 = 9723308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9723308
Therefore, the GCF of Fractions 70/284,58/938,270/146 is 2/9723308
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 284,938,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,938,146) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(284,938,146) x common factors =2 x 2 = 4
LCM(284,938,146) = ( 284 × 938 × 146 ) / 4
LCM(284,938,146) = 38893232 / 4
LCM(284,938,146) = 9723308
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,58,270?
The HCF of 70,58,270 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 70/284, 58/938, 270/146?
Answer: GCF of Numerators as per given numbers 70/284, 58/938, 270/146 is
GCF of Numerators i.e. for 70,58,270 is 2
LCM of denominators i.e. for 284,938,146 is 9723308.
Thus, GCF of Fractions is 2/9723308.Finally, GCF of Fractions for 70/284, 58/938, 270/146 is 2/9723308.