Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/26,936/18,485/64
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 445,936,485
Greatest Common Factor of Numerators i.e. GCF of 445,936,485 is 1 .
LCM of Denominators means LCM of 26,18,64 as per the given fractions.
LCM of 26,18,64 is 7488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 445,936,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 445,936,485 . The biggest common factor number is the GCF number.
So the greatest common factor 445,936,485 is 1.
Lets's calculate LCM of 26,18,64
2 | 26, 18, 64 |
13, 9, 32 |
∴ So the LCM of the given numbers is 2 x 13 x 9 x 32 = 7488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7488
Therefore, the GCF of Fractions 445/26,936/18,485/64 is 1/7488
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 26,18,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,18,64) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(26,18,64) x common factors =2 x 2 = 4
LCM(26,18,64) = ( 26 × 18 × 64 ) / 4
LCM(26,18,64) = 29952 / 4
LCM(26,18,64) = 7488
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 445/26, 936/18, 485/64?
Answer: GCF of Numerators as per given numbers 445/26, 936/18, 485/64 is
GCF of Numerators i.e. for 445,936,485 is 1
LCM of denominators i.e. for 26,18,64 is 7488.
Thus, GCF of Fractions is 1/7488.Finally, GCF of Fractions for 445/26, 936/18, 485/64 is 1/7488.