Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/43,462/79,781/312
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 135,462,781
Greatest Common Factor of Numerators i.e. GCF of 135,462,781 is 1 .
LCM of Denominators means LCM of 43,79,312 as per the given fractions.
LCM of 43,79,312 is 1059864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,462,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 135,462,781 . The biggest common factor number is the GCF number.
So the greatest common factor 135,462,781 is 1.
Lets's calculate LCM of 43,79,312
Given numbers has no common factors except 1. So, there LCM is their product i.e 1059864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1059864
Therefore, the GCF of Fractions 135/43,462/79,781/312 is 1/1059864
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 43,79,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,79,312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,79,312) x common factors =1 x 1 = 1
LCM(43,79,312) = ( 43 × 79 × 312 ) / 1
LCM(43,79,312) = 1059864 / 1
LCM(43,79,312) = 1059864
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 135/43, 462/79, 781/312?
Answer: GCF of Numerators as per given numbers 135/43, 462/79, 781/312 is
GCF of Numerators i.e. for 135,462,781 is 1
LCM of denominators i.e. for 43,79,312 is 1059864.
Thus, GCF of Fractions is 1/1059864.Finally, GCF of Fractions for 135/43, 462/79, 781/312 is 1/1059864.