Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/86,96/16,922/670
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 26,96,922
Greatest Common Factor of Numerators i.e. GCF of 26,96,922 is 2 .
LCM of Denominators means LCM of 86,16,670 as per the given fractions.
LCM of 86,16,670 is 230480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,96,922
2 | 26, 96, 922 |
13, 48, 461 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 26,96,922 . The biggest common factor number is the GCF number.
So the greatest common factor 26,96,922 is 2.
Lets's calculate LCM of 86,16,670
2 | 86, 16, 670 |
43, 8, 335 |
∴ So the LCM of the given numbers is 2 x 43 x 8 x 335 = 230480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230480
Therefore, the GCF of Fractions 26/86,96/16,922/670 is 2/230480
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 86,16,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,16,670) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,16,670) x common factors =2 x 2 = 4
LCM(86,16,670) = ( 86 × 16 × 670 ) / 4
LCM(86,16,670) = 921920 / 4
LCM(86,16,670) = 230480
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 26/86, 96/16, 922/670?
Answer: GCF of Numerators as per given numbers 26/86, 96/16, 922/670 is
GCF of Numerators i.e. for 26,96,922 is 2
LCM of denominators i.e. for 86,16,670 is 230480.
Thus, GCF of Fractions is 2/230480.Finally, GCF of Fractions for 26/86, 96/16, 922/670 is 2/230480.