Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/75,44/199,217/793
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 78,44,217
Greatest Common Factor of Numerators i.e. GCF of 78,44,217 is 1 .
LCM of Denominators means LCM of 75,199,793 as per the given fractions.
LCM of 75,199,793 is 11835525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,44,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 78,44,217 . The biggest common factor number is the GCF number.
So the greatest common factor 78,44,217 is 1.
Lets's calculate LCM of 75,199,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 11835525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11835525
Therefore, the GCF of Fractions 78/75,44/199,217/793 is 1/11835525
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 75,199,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,199,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,199,793) x common factors =1 x 1 = 1
LCM(75,199,793) = ( 75 × 199 × 793 ) / 1
LCM(75,199,793) = 11835525 / 1
LCM(75,199,793) = 11835525
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 78/75, 44/199, 217/793?
Answer: GCF of Numerators as per given numbers 78/75, 44/199, 217/793 is
GCF of Numerators i.e. for 78,44,217 is 1
LCM of denominators i.e. for 75,199,793 is 11835525.
Thus, GCF of Fractions is 1/11835525.Finally, GCF of Fractions for 78/75, 44/199, 217/793 is 1/11835525.