Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/142,94/111,182/152
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 26,94,182
Greatest Common Factor of Numerators i.e. GCF of 26,94,182 is 2 .
LCM of Denominators means LCM of 142,111,152 as per the given fractions.
LCM of 142,111,152 is 1197912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,94,182
2 | 26, 94, 182 |
13, 47, 91 |
∴ 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 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 26,94,182 . The biggest common factor number is the GCF number.
So the greatest common factor 26,94,182 is 2.
Lets's calculate LCM of 142,111,152
2 | 142, 111, 152 |
71, 111, 76 |
∴ So the LCM of the given numbers is 2 x 71 x 111 x 76 = 1197912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1197912
Therefore, the GCF of Fractions 26/142,94/111,182/152 is 2/1197912
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 142,111,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,111,152) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(142,111,152) x common factors =1 x 2 = 2
LCM(142,111,152) = ( 142 × 111 × 152 ) / 2
LCM(142,111,152) = 2395824 / 2
LCM(142,111,152) = 1197912
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 26/142, 94/111, 182/152?
Answer: GCF of Numerators as per given numbers 26/142, 94/111, 182/152 is
GCF of Numerators i.e. for 26,94,182 is 2
LCM of denominators i.e. for 142,111,152 is 1197912.
Thus, GCF of Fractions is 2/1197912.Finally, GCF of Fractions for 26/142, 94/111, 182/152 is 2/1197912.