Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/71,26/37,910/932
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 12,26,910
Greatest Common Factor of Numerators i.e. GCF of 12,26,910 is 2 .
LCM of Denominators means LCM of 71,37,932 as per the given fractions.
LCM of 71,37,932 is 2448364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,26,910
2 | 12, 26, 910 |
6, 13, 455 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 12,26,910 . The biggest common factor number is the GCF number.
So the greatest common factor 12,26,910 is 2.
Lets's calculate LCM of 71,37,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 2448364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2448364
Therefore, the GCF of Fractions 12/71,26/37,910/932 is 2/2448364
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 71,37,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,37,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,37,932) x common factors =1 x 1 = 1
LCM(71,37,932) = ( 71 × 37 × 932 ) / 1
LCM(71,37,932) = 2448364 / 1
LCM(71,37,932) = 2448364
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 12/71, 26/37, 910/932?
Answer: GCF of Numerators as per given numbers 12/71, 26/37, 910/932 is
GCF of Numerators i.e. for 12,26,910 is 2
LCM of denominators i.e. for 71,37,932 is 2448364.
Thus, GCF of Fractions is 2/2448364.Finally, GCF of Fractions for 12/71, 26/37, 910/932 is 2/2448364.