Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 794/24,114/37,399/941
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 794,114,399
Greatest Common Factor of Numerators i.e. GCF of 794,114,399 is 1 .
LCM of Denominators means LCM of 24,37,941 as per the given fractions.
LCM of 24,37,941 is 835608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 794,114,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 794,114,399 . The biggest common factor number is the GCF number.
So the greatest common factor 794,114,399 is 1.
Lets's calculate LCM of 24,37,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 835608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835608
Therefore, the GCF of Fractions 794/24,114/37,399/941 is 1/835608
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 24,37,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,37,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,37,941) x common factors =1 x 1 = 1
LCM(24,37,941) = ( 24 × 37 × 941 ) / 1
LCM(24,37,941) = 835608 / 1
LCM(24,37,941) = 835608
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 794/24, 114/37, 399/941?
Answer: GCF of Numerators as per given numbers 794/24, 114/37, 399/941 is
GCF of Numerators i.e. for 794,114,399 is 1
LCM of denominators i.e. for 24,37,941 is 835608.
Thus, GCF of Fractions is 1/835608.Finally, GCF of Fractions for 794/24, 114/37, 399/941 is 1/835608.