Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 809/712,925/660,675/922
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 809,925,675
Greatest Common Factor of Numerators i.e. GCF of 809,925,675 is 1 .
LCM of Denominators means LCM of 712,660,922 as per the given fractions.
LCM of 712,660,922 is 54158280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 809,925,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
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
Greatest Common Factor
We found the factors 809,925,675 . The biggest common factor number is the GCF number.
So the greatest common factor 809,925,675 is 1.
Lets's calculate LCM of 712,660,922
2 | 712, 660, 922 |
2 | 356, 330, 461 |
178, 165, 461 |
∴ So the LCM of the given numbers is 2 x 2 x 178 x 165 x 461 = 54158280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54158280
Therefore, the GCF of Fractions 809/712,925/660,675/922 is 1/54158280
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 712,660,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,660,922) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(712,660,922) x common factors =2 x 4 = 8
LCM(712,660,922) = ( 712 × 660 × 922 ) / 8
LCM(712,660,922) = 433266240 / 8
LCM(712,660,922) = 54158280
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 809/712, 925/660, 675/922?
Answer: GCF of Numerators as per given numbers 809/712, 925/660, 675/922 is
GCF of Numerators i.e. for 809,925,675 is 1
LCM of denominators i.e. for 712,660,922 is 54158280.
Thus, GCF of Fractions is 1/54158280.Finally, GCF of Fractions for 809/712, 925/660, 675/922 is 1/54158280.