Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/34,56/15,633/787
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 99,56,633
Greatest Common Factor of Numerators i.e. GCF of 99,56,633 is 1 .
LCM of Denominators means LCM of 34,15,787 as per the given fractions.
LCM of 34,15,787 is 401370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,56,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 99,56,633 . The biggest common factor number is the GCF number.
So the greatest common factor 99,56,633 is 1.
Lets's calculate LCM of 34,15,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 401370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401370
Therefore, the GCF of Fractions 99/34,56/15,633/787 is 1/401370
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 34,15,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,15,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,15,787) x common factors =1 x 1 = 1
LCM(34,15,787) = ( 34 × 15 × 787 ) / 1
LCM(34,15,787) = 401370 / 1
LCM(34,15,787) = 401370
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 99/34, 56/15, 633/787?
Answer: GCF of Numerators as per given numbers 99/34, 56/15, 633/787 is
GCF of Numerators i.e. for 99,56,633 is 1
LCM of denominators i.e. for 34,15,787 is 401370.
Thus, GCF of Fractions is 1/401370.Finally, GCF of Fractions for 99/34, 56/15, 633/787 is 1/401370.