Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/54,45/64,436/172
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 41,45,436
Greatest Common Factor of Numerators i.e. GCF of 41,45,436 is 1 .
LCM of Denominators means LCM of 54,64,172 as per the given fractions.
LCM of 54,64,172 is 74304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,45,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 41,45,436 . The biggest common factor number is the GCF number.
So the greatest common factor 41,45,436 is 1.
Lets's calculate LCM of 54,64,172
2 | 54, 64, 172 |
2 | 27, 32, 86 |
27, 16, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 16 x 43 = 74304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74304
Therefore, the GCF of Fractions 41/54,45/64,436/172 is 1/74304
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 54,64,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,64,172) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(54,64,172) x common factors =2 x 4 = 8
LCM(54,64,172) = ( 54 × 64 × 172 ) / 8
LCM(54,64,172) = 594432 / 8
LCM(54,64,172) = 74304
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 41/54, 45/64, 436/172?
Answer: GCF of Numerators as per given numbers 41/54, 45/64, 436/172 is
GCF of Numerators i.e. for 41,45,436 is 1
LCM of denominators i.e. for 54,64,172 is 74304.
Thus, GCF of Fractions is 1/74304.Finally, GCF of Fractions for 41/54, 45/64, 436/172 is 1/74304.