Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/75,19/85,35/12,945/96
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 62,19,35,945
Greatest Common Factor of Numerators i.e. GCF of 62,19,35,945 is 1 .
LCM of Denominators means LCM of 75,85,12,96 as per the given fractions.
LCM of 75,85,12,96 is 40800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,19,35,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 62,19,35,945 . The biggest common factor number is the GCF number.
So the greatest common factor 62,19,35,945 is 1.
Lets's calculate LCM of 75,85,12,96
2 | 75, 85, 12, 96 |
2 | 75, 85, 6, 48 |
3 | 75, 85, 3, 24 |
5 | 25, 85, 1, 8 |
5, 17, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 17 x 1 x 8 = 40800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40800
Therefore, the GCF of Fractions 62/75,19/85,35/12,945/96 is 1/40800
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 75,85,12,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,85,12,96) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(75,85,12,96) x common factors =1 x 180 = 180
LCM(75,85,12,96) = ( 75 × 85 × 12 × 96 ) / 180
LCM(75,85,12,96) = 7344000 / 180
LCM(75,85,12,96) = 40800
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 62/75, 19/85, 35/12, 945/96?
Answer: GCF of Numerators as per given numbers 62/75, 19/85, 35/12, 945/96 is
GCF of Numerators i.e. for 62,19,35,945 is 1
LCM of denominators i.e. for 75,85,12,96 is 40800.
Thus, GCF of Fractions is 1/40800.Finally, GCF of Fractions for 62/75, 19/85, 35/12, 945/96 is 1/40800.