Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/44,27/45,744/117
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 63,27,744
Greatest Common Factor of Numerators i.e. GCF of 63,27,744 is 3 .
LCM of Denominators means LCM of 44,45,117 as per the given fractions.
LCM of 44,45,117 is 25740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,27,744
3 | 63, 27, 744 |
21, 9, 248 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 63,27,744 . The biggest common factor number is the GCF number.
So the greatest common factor 63,27,744 is 3.
Lets's calculate LCM of 44,45,117
3 | 44, 45, 117 |
3 | 44, 15, 39 |
44, 5, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 44 x 5 x 13 = 25740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25740
Therefore, the GCF of Fractions 63/44,27/45,744/117 is 3/25740
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 44,45,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,45,117) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(44,45,117) x common factors =1 x 9 = 9
LCM(44,45,117) = ( 44 × 45 × 117 ) / 9
LCM(44,45,117) = 231660 / 9
LCM(44,45,117) = 25740
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 63/44, 27/45, 744/117?
Answer: GCF of Numerators as per given numbers 63/44, 27/45, 744/117 is
GCF of Numerators i.e. for 63,27,744 is 3
LCM of denominators i.e. for 44,45,117 is 25740.
Thus, GCF of Fractions is 3/25740.Finally, GCF of Fractions for 63/44, 27/45, 744/117 is 3/25740.