Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 861/31,718/14,132/403
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 861,718,132
Greatest Common Factor of Numerators i.e. GCF of 861,718,132 is 1 .
LCM of Denominators means LCM of 31,14,403 as per the given fractions.
LCM of 31,14,403 is 5642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 861,718,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 861,718,132 . The biggest common factor number is the GCF number.
So the greatest common factor 861,718,132 is 1.
Lets's calculate LCM of 31,14,403
31 | 31, 14, 403 |
1, 14, 13 |
∴ So the LCM of the given numbers is 31 x 1 x 14 x 13 = 5642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5642
Therefore, the GCF of Fractions 861/31,718/14,132/403 is 1/5642
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 31,14,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,14,403) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(31,14,403) x common factors =1 x 31 = 31
LCM(31,14,403) = ( 31 × 14 × 403 ) / 31
LCM(31,14,403) = 174902 / 31
LCM(31,14,403) = 5642
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 861/31, 718/14, 132/403?
Answer: GCF of Numerators as per given numbers 861/31, 718/14, 132/403 is
GCF of Numerators i.e. for 861,718,132 is 1
LCM of denominators i.e. for 31,14,403 is 5642.
Thus, GCF of Fractions is 1/5642.Finally, GCF of Fractions for 861/31, 718/14, 132/403 is 1/5642.