Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 468/47,815/78,695/954
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 468,815,695
Greatest Common Factor of Numerators i.e. GCF of 468,815,695 is 1 .
LCM of Denominators means LCM of 47,78,954 as per the given fractions.
LCM of 47,78,954 is 582894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 468,815,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 468,815,695 . The biggest common factor number is the GCF number.
So the greatest common factor 468,815,695 is 1.
Lets's calculate LCM of 47,78,954
2 | 47, 78, 954 |
3 | 47, 39, 477 |
47, 13, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 13 x 159 = 582894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582894
Therefore, the GCF of Fractions 468/47,815/78,695/954 is 1/582894
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 47,78,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,78,954) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(47,78,954) x common factors =1 x 6 = 6
LCM(47,78,954) = ( 47 × 78 × 954 ) / 6
LCM(47,78,954) = 3497364 / 6
LCM(47,78,954) = 582894
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 468/47, 815/78, 695/954?
Answer: GCF of Numerators as per given numbers 468/47, 815/78, 695/954 is
GCF of Numerators i.e. for 468,815,695 is 1
LCM of denominators i.e. for 47,78,954 is 582894.
Thus, GCF of Fractions is 1/582894.Finally, GCF of Fractions for 468/47, 815/78, 695/954 is 1/582894.