Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/69,741/99,895/939
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 947,741,895
Greatest Common Factor of Numerators i.e. GCF of 947,741,895 is 1 .
LCM of Denominators means LCM of 69,99,939 as per the given fractions.
LCM of 69,99,939 is 712701 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,741,895
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 947,741,895 . The biggest common factor number is the GCF number.
So the greatest common factor 947,741,895 is 1.
Lets's calculate LCM of 69,99,939
3 | 69, 99, 939 |
23, 33, 313 |
∴ So the LCM of the given numbers is 3 x 23 x 33 x 313 = 712701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712701
Therefore, the GCF of Fractions 947/69,741/99,895/939 is 1/712701
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 69,99,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,99,939) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(69,99,939) x common factors =3 x 3 = 9
LCM(69,99,939) = ( 69 × 99 × 939 ) / 9
LCM(69,99,939) = 6414309 / 9
LCM(69,99,939) = 712701
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 947/69, 741/99, 895/939?
Answer: GCF of Numerators as per given numbers 947/69, 741/99, 895/939 is
GCF of Numerators i.e. for 947,741,895 is 1
LCM of denominators i.e. for 69,99,939 is 712701.
Thus, GCF of Fractions is 1/712701.Finally, GCF of Fractions for 947/69, 741/99, 895/939 is 1/712701.