Use our free GCF of Fractions Calculator tool to compute the GCF of 158/530, 146/973 i.e 2/515690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/530, 146/973.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 158/530,146/973
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 158/530,146/973, numerators are 158,146
Denominators are 530,973
The GCF of 158,146 is 2 .
LCM of 530,973 is 515690.
The greatest common factor of 158/530,146/973 = [GCF of 158,146]/[LCM of 530,973]= 2/515690
Therefore, the GCF of 158/530,146/973 is 2/515690.
To find the highest common factor of 158,146, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 146 are 1, 2, 73, 146
The HCF of 158,146 is 2.
Lets's calculate GCF of 158,146
2 | 158, 146 |
79, 73 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 146
:1,2,73,146
Greatest Common Factor
We found the factors 158,146 . The biggest common factor number is the GCF number.
So the greatest common factor 158,146 is 2.
Lets's calculate LCM of 530,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 515690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/515690
Therefore, the GCF of Fractions 158/530,146/973 is 2/515690
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 530,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,973) x common factors =1 x 1 = 1
LCM(530,973) = ( 530 × 973 ) / 1
LCM(530,973) = 515690 / 1
LCM(530,973) = 515690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 158,146?
The HCF of 158,146 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 158/530, 146/973?
Answer: GCF of Numerators as per given numbers 158/530, 146/973 is
GCF of Numerators i.e. for 158,146 is 2
LCM of denominators i.e. for 530,973 is 515690.
Thus, GCF of Fractions is 2/515690.Finally, GCF of Fractions for 158/530, 146/973 is 2/515690.