Use our free GCF of Fractions Calculator tool to compute the GCF of 136/253, 928/820 i.e 8/207460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 136/253, 928/820.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 136/253,928/820
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 136/253,928/820, numerators are 136,928
Denominators are 253,820
The GCF of 136,928 is 8 .
LCM of 253,820 is 207460.
The greatest common factor of 136/253,928/820 = [GCF of 136,928]/[LCM of 253,820]= 8/207460
Therefore, the GCF of 136/253,928/820 is 8/207460.
To find the highest common factor of 136,928, we have to find the factors of both numbers and list the highest common factor.
The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The HCF of 136,928 is 8.
Lets's calculate GCF of 136,928
2 | 136, 928 |
2 | 68, 464 |
2 | 34, 232 |
17, 116 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 136
:1,2,4,8,17,34,68,136
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 136,928 . The biggest common factor number is the GCF number.
So the greatest common factor 136,928 is 8.
Lets's calculate LCM of 253,820
Given numbers has no common factors except 1. So, there LCM is their product i.e 207460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/207460
Therefore, the GCF of Fractions 136/253,928/820 is 8/207460
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 253,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,820) x common factors =1 x 1 = 1
LCM(253,820) = ( 253 × 820 ) / 1
LCM(253,820) = 207460 / 1
LCM(253,820) = 207460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 136,928?
The HCF of 136,928 is 8
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 136/253, 928/820?
Answer: GCF of Numerators as per given numbers 136/253, 928/820 is
GCF of Numerators i.e. for 136,928 is 8
LCM of denominators i.e. for 253,820 is 207460.
Thus, GCF of Fractions is 8/207460.Finally, GCF of Fractions for 136/253, 928/820 is 8/207460.