Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/88,46/65,13/20,70/64
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 33,46,13,70
Greatest Common Factor of Numerators i.e. GCF of 33,46,13,70 is 1 .
LCM of Denominators means LCM of 88,65,20,64 as per the given fractions.
LCM of 88,65,20,64 is 45760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,46,13,70
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Greatest Common Factor
We found the factors 33,46,13,70 . The biggest common factor number is the GCF number.
So the greatest common factor 33,46,13,70 is 1.
Lets's calculate LCM of 88,65,20,64
2 | 88, 65, 20, 64 |
2 | 44, 65, 10, 32 |
2 | 22, 65, 5, 16 |
5 | 11, 65, 5, 8 |
11, 13, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 13 x 1 x 8 = 45760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45760
Therefore, the GCF of Fractions 33/88,46/65,13/20,70/64 is 1/45760
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 88,65,20,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,65,20,64) = 1
common factors(in case of two or more numbers have common factors) = 160
GCF(88,65,20,64) x common factors =1 x 160 = 160
LCM(88,65,20,64) = ( 88 × 65 × 20 × 64 ) / 160
LCM(88,65,20,64) = 7321600 / 160
LCM(88,65,20,64) = 45760
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 33/88, 46/65, 13/20, 70/64?
Answer: GCF of Numerators as per given numbers 33/88, 46/65, 13/20, 70/64 is
GCF of Numerators i.e. for 33,46,13,70 is 1
LCM of denominators i.e. for 88,65,20,64 is 45760.
Thus, GCF of Fractions is 1/45760.Finally, GCF of Fractions for 33/88, 46/65, 13/20, 70/64 is 1/45760.