Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/28,90/405,933/448
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 88,90,933
Greatest Common Factor of Numerators i.e. GCF of 88,90,933 is 1 .
LCM of Denominators means LCM of 28,405,448 as per the given fractions.
LCM of 28,405,448 is 181440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,90,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 88,90,933 . The biggest common factor number is the GCF number.
So the greatest common factor 88,90,933 is 1.
Lets's calculate LCM of 28,405,448
2 | 28, 405, 448 |
2 | 14, 405, 224 |
7 | 7, 405, 112 |
1, 405, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 405 x 16 = 181440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181440
Therefore, the GCF of Fractions 88/28,90/405,933/448 is 1/181440
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 28,405,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,405,448) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,405,448) x common factors =1 x 28 = 28
LCM(28,405,448) = ( 28 × 405 × 448 ) / 28
LCM(28,405,448) = 5080320 / 28
LCM(28,405,448) = 181440
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 88/28, 90/405, 933/448?
Answer: GCF of Numerators as per given numbers 88/28, 90/405, 933/448 is
GCF of Numerators i.e. for 88,90,933 is 1
LCM of denominators i.e. for 28,405,448 is 181440.
Thus, GCF of Fractions is 1/181440.Finally, GCF of Fractions for 88/28, 90/405, 933/448 is 1/181440.