Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/62,846/48,512/26
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 856,846,512
Greatest Common Factor of Numerators i.e. GCF of 856,846,512 is 2 .
LCM of Denominators means LCM of 62,48,26 as per the given fractions.
LCM of 62,48,26 is 19344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 856,846,512
2 | 856, 846, 512 |
428, 423, 256 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 856,846,512 . The biggest common factor number is the GCF number.
So the greatest common factor 856,846,512 is 2.
Lets's calculate LCM of 62,48,26
2 | 62, 48, 26 |
31, 24, 13 |
∴ So the LCM of the given numbers is 2 x 31 x 24 x 13 = 19344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19344
Therefore, the GCF of Fractions 856/62,846/48,512/26 is 2/19344
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 62,48,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,48,26) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,48,26) x common factors =2 x 2 = 4
LCM(62,48,26) = ( 62 × 48 × 26 ) / 4
LCM(62,48,26) = 77376 / 4
LCM(62,48,26) = 19344
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 856/62, 846/48, 512/26?
Answer: GCF of Numerators as per given numbers 856/62, 846/48, 512/26 is
GCF of Numerators i.e. for 856,846,512 is 2
LCM of denominators i.e. for 62,48,26 is 19344.
Thus, GCF of Fractions is 2/19344.Finally, GCF of Fractions for 856/62, 846/48, 512/26 is 2/19344.