Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/44,860/81,655/49
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 93,860,655
Greatest Common Factor of Numerators i.e. GCF of 93,860,655 is 1 .
LCM of Denominators means LCM of 44,81,49 as per the given fractions.
LCM of 44,81,49 is 174636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,860,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 93,860,655 . The biggest common factor number is the GCF number.
So the greatest common factor 93,860,655 is 1.
Lets's calculate LCM of 44,81,49
Given numbers has no common factors except 1. So, there LCM is their product i.e 174636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174636
Therefore, the GCF of Fractions 93/44,860/81,655/49 is 1/174636
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 44,81,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,81,49) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,81,49) x common factors =1 x 1 = 1
LCM(44,81,49) = ( 44 × 81 × 49 ) / 1
LCM(44,81,49) = 174636 / 1
LCM(44,81,49) = 174636
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 93/44, 860/81, 655/49?
Answer: GCF of Numerators as per given numbers 93/44, 860/81, 655/49 is
GCF of Numerators i.e. for 93,860,655 is 1
LCM of denominators i.e. for 44,81,49 is 174636.
Thus, GCF of Fractions is 1/174636.Finally, GCF of Fractions for 93/44, 860/81, 655/49 is 1/174636.