Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 148/56,646/13,478/32
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 148,646,478
Greatest Common Factor of Numerators i.e. GCF of 148,646,478 is 2 .
LCM of Denominators means LCM of 56,13,32 as per the given fractions.
LCM of 56,13,32 is 2912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 148,646,478
2 | 148, 646, 478 |
74, 323, 239 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 148,646,478 . The biggest common factor number is the GCF number.
So the greatest common factor 148,646,478 is 2.
Lets's calculate LCM of 56,13,32
2 | 56, 13, 32 |
2 | 28, 13, 16 |
2 | 14, 13, 8 |
7, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 4 = 2912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2912
Therefore, the GCF of Fractions 148/56,646/13,478/32 is 2/2912
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 56,13,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,13,32) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(56,13,32) x common factors =1 x 8 = 8
LCM(56,13,32) = ( 56 × 13 × 32 ) / 8
LCM(56,13,32) = 23296 / 8
LCM(56,13,32) = 2912
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 148/56, 646/13, 478/32?
Answer: GCF of Numerators as per given numbers 148/56, 646/13, 478/32 is
GCF of Numerators i.e. for 148,646,478 is 2
LCM of denominators i.e. for 56,13,32 is 2912.
Thus, GCF of Fractions is 2/2912.Finally, GCF of Fractions for 148/56, 646/13, 478/32 is 2/2912.