Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/58,52/91,32/231,381/251
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 8,52,32,381
Greatest Common Factor of Numerators i.e. GCF of 8,52,32,381 is 1 .
LCM of Denominators means LCM of 58,91,231,251 as per the given fractions.
LCM of 58,91,231,251 is 43717674 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,52,32,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 8,52,32,381 . The biggest common factor number is the GCF number.
So the greatest common factor 8,52,32,381 is 1.
Lets's calculate LCM of 58,91,231,251
7 | 58, 91, 231, 251 |
58, 13, 33, 251 |
∴ So the LCM of the given numbers is 7 x 58 x 13 x 33 x 251 = 43717674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43717674
Therefore, the GCF of Fractions 8/58,52/91,32/231,381/251 is 1/43717674
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 58,91,231,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,91,231,251) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(58,91,231,251) x common factors =1 x 7 = 7
LCM(58,91,231,251) = ( 58 × 91 × 231 × 251 ) / 7
LCM(58,91,231,251) = 306023718 / 7
LCM(58,91,231,251) = 43717674
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 8/58, 52/91, 32/231, 381/251?
Answer: GCF of Numerators as per given numbers 8/58, 52/91, 32/231, 381/251 is
GCF of Numerators i.e. for 8,52,32,381 is 1
LCM of denominators i.e. for 58,91,231,251 is 43717674.
Thus, GCF of Fractions is 1/43717674.Finally, GCF of Fractions for 8/58, 52/91, 32/231, 381/251 is 1/43717674.