Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/71,16/10,864/137
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 92,16,864
Greatest Common Factor of Numerators i.e. GCF of 92,16,864 is 4 .
LCM of Denominators means LCM of 71,10,137 as per the given fractions.
LCM of 71,10,137 is 97270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,16,864
2 | 92, 16, 864 |
2 | 46, 8, 432 |
23, 4, 216 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 92,16,864 . The biggest common factor number is the GCF number.
So the greatest common factor 92,16,864 is 4.
Lets's calculate LCM of 71,10,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 97270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/97270
Therefore, the GCF of Fractions 92/71,16/10,864/137 is 4/97270
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 71,10,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,10,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,10,137) x common factors =1 x 1 = 1
LCM(71,10,137) = ( 71 × 10 × 137 ) / 1
LCM(71,10,137) = 97270 / 1
LCM(71,10,137) = 97270
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 92/71, 16/10, 864/137?
Answer: GCF of Numerators as per given numbers 92/71, 16/10, 864/137 is
GCF of Numerators i.e. for 92,16,864 is 4
LCM of denominators i.e. for 71,10,137 is 97270.
Thus, GCF of Fractions is 4/97270.Finally, GCF of Fractions for 92/71, 16/10, 864/137 is 4/97270.