Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/32,45/18,424/931
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 13,45,424
Greatest Common Factor of Numerators i.e. GCF of 13,45,424 is 1 .
LCM of Denominators means LCM of 32,18,931 as per the given fractions.
LCM of 32,18,931 is 268128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,45,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 13,45,424 . The biggest common factor number is the GCF number.
So the greatest common factor 13,45,424 is 1.
Lets's calculate LCM of 32,18,931
2 | 32, 18, 931 |
16, 9, 931 |
∴ So the LCM of the given numbers is 2 x 16 x 9 x 931 = 268128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268128
Therefore, the GCF of Fractions 13/32,45/18,424/931 is 1/268128
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 32,18,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,18,931) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,18,931) x common factors =1 x 2 = 2
LCM(32,18,931) = ( 32 × 18 × 931 ) / 2
LCM(32,18,931) = 536256 / 2
LCM(32,18,931) = 268128
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 13/32, 45/18, 424/931?
Answer: GCF of Numerators as per given numbers 13/32, 45/18, 424/931 is
GCF of Numerators i.e. for 13,45,424 is 1
LCM of denominators i.e. for 32,18,931 is 268128.
Thus, GCF of Fractions is 1/268128.Finally, GCF of Fractions for 13/32, 45/18, 424/931 is 1/268128.