Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/999,9106/972
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 832,9106
Greatest Common Factor of Numerators i.e. GCF of 832,9106 is 2 .
LCM of Denominators means LCM of 999,972 as per the given fractions.
LCM of 999,972 is 35964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,9106
2 | 832, 9106 |
416, 4553 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 9106
List of positive integer factors of 9106 that divides 9106 without a remainder.
1,2,29,58,157,314,4553,9106
Greatest Common Factor
We found the factors 832,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 832,9106 is 2.
Lets's calculate LCM of 999,972
3 | 999, 972 |
3 | 333, 324 |
3 | 111, 108 |
37, 36 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 37 x 36 = 35964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35964
Therefore, the GCF of Fractions 832/999,9106/972 is 2/35964
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 999,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,972) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(999,972) x common factors =27 x 1 = 27
LCM(999,972) = ( 999 × 972 ) / 27
LCM(999,972) = 971028 / 27
LCM(999,972) = 35964
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 832/999, 9106/972?
Answer: GCF of Numerators as per given numbers 832/999, 9106/972 is
GCF of Numerators i.e. for 832,9106 is 2
LCM of denominators i.e. for 999,972 is 35964.
Thus, GCF of Fractions is 2/35964.Finally, GCF of Fractions for 832/999, 9106/972 is 2/35964.