Use our free GCF of Fractions Calculator tool to compute the GCF of 158/346, 872/609 i.e 2/210714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/346, 872/609.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 158/346,872/609
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 158/346,872/609, numerators are 158,872
Denominators are 346,609
The GCF of 158,872 is 2 .
LCM of 346,609 is 210714.
The greatest common factor of 158/346,872/609 = [GCF of 158,872]/[LCM of 346,609]= 2/210714
Therefore, the GCF of 158/346,872/609 is 2/210714.
To find the highest common factor of 158,872, 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 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 158,872 is 2.
Lets's calculate GCF of 158,872
2 | 158, 872 |
79, 436 |
∴ 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 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 158,872 . The biggest common factor number is the GCF number.
So the greatest common factor 158,872 is 2.
Lets's calculate LCM of 346,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 210714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210714
Therefore, the GCF of Fractions 158/346,872/609 is 2/210714
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 346,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,609) x common factors =1 x 1 = 1
LCM(346,609) = ( 346 × 609 ) / 1
LCM(346,609) = 210714 / 1
LCM(346,609) = 210714
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 158,872?
The HCF of 158,872 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 158/346, 872/609?
Answer: GCF of Numerators as per given numbers 158/346, 872/609 is
GCF of Numerators i.e. for 158,872 is 2
LCM of denominators i.e. for 346,609 is 210714.
Thus, GCF of Fractions is 2/210714.Finally, GCF of Fractions for 158/346, 872/609 is 2/210714.