Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/70,12/44,13/11,448/77
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 50,12,13,448
Greatest Common Factor of Numerators i.e. GCF of 50,12,13,448 is 1 .
LCM of Denominators means LCM of 70,44,11,77 as per the given fractions.
LCM of 70,44,11,77 is 1540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,12,13,448
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 50,12,13,448 . The biggest common factor number is the GCF number.
So the greatest common factor 50,12,13,448 is 1.
Lets's calculate LCM of 70,44,11,77
2 | 70, 44, 11, 77 |
7 | 35, 22, 11, 77 |
11 | 5, 22, 11, 11 |
5, 2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 5 x 2 x 1 x 1 = 1540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1540
Therefore, the GCF of Fractions 50/70,12/44,13/11,448/77 is 1/1540
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 70,44,11,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,44,11,77) = 1
common factors(in case of two or more numbers have common factors) = 1694
GCF(70,44,11,77) x common factors =1 x 1694 = 1694
LCM(70,44,11,77) = ( 70 × 44 × 11 × 77 ) / 1694
LCM(70,44,11,77) = 2608760 / 1694
LCM(70,44,11,77) = 1540
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 50/70, 12/44, 13/11, 448/77?
Answer: GCF of Numerators as per given numbers 50/70, 12/44, 13/11, 448/77 is
GCF of Numerators i.e. for 50,12,13,448 is 1
LCM of denominators i.e. for 70,44,11,77 is 1540.
Thus, GCF of Fractions is 1/1540.Finally, GCF of Fractions for 50/70, 12/44, 13/11, 448/77 is 1/1540.