Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/80,675/40,725/37
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 7,675,725
Greatest Common Factor of Numerators i.e. GCF of 7,675,725 is 1 .
LCM of Denominators means LCM of 80,40,37 as per the given fractions.
LCM of 80,40,37 is 2960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,675,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 7,675,725 . The biggest common factor number is the GCF number.
So the greatest common factor 7,675,725 is 1.
Lets's calculate LCM of 80,40,37
2 | 80, 40, 37 |
2 | 40, 20, 37 |
2 | 10, 20, 37 |
5 | 5, 10, 37 |
1, 2, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 2 x 37 = 2960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2960
Therefore, the GCF of Fractions 7/80,675/40,725/37 is 1/2960
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 80,40,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,40,37) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(80,40,37) x common factors =1 x 40 = 40
LCM(80,40,37) = ( 80 × 40 × 37 ) / 40
LCM(80,40,37) = 118400 / 40
LCM(80,40,37) = 2960
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 7/80, 675/40, 725/37?
Answer: GCF of Numerators as per given numbers 7/80, 675/40, 725/37 is
GCF of Numerators i.e. for 7,675,725 is 1
LCM of denominators i.e. for 80,40,37 is 2960.
Thus, GCF of Fractions is 1/2960.Finally, GCF of Fractions for 7/80, 675/40, 725/37 is 1/2960.