Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/136,496/320,149/138
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 109,496,149
Greatest Common Factor of Numerators i.e. GCF of 109,496,149 is 1 .
LCM of Denominators means LCM of 136,320,138 as per the given fractions.
LCM of 136,320,138 is 375360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 109,496,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 109,496,149 . The biggest common factor number is the GCF number.
So the greatest common factor 109,496,149 is 1.
Lets's calculate LCM of 136,320,138
2 | 136, 320, 138 |
2 | 68, 160, 69 |
2 | 34, 80, 69 |
17, 40, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 40 x 69 = 375360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375360
Therefore, the GCF of Fractions 109/136,496/320,149/138 is 1/375360
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 136,320,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,320,138) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(136,320,138) x common factors =2 x 8 = 16
LCM(136,320,138) = ( 136 × 320 × 138 ) / 16
LCM(136,320,138) = 6005760 / 16
LCM(136,320,138) = 375360
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 109/136, 496/320, 149/138?
Answer: GCF of Numerators as per given numbers 109/136, 496/320, 149/138 is
GCF of Numerators i.e. for 109,496,149 is 1
LCM of denominators i.e. for 136,320,138 is 375360.
Thus, GCF of Fractions is 1/375360.Finally, GCF of Fractions for 109/136, 496/320, 149/138 is 1/375360.