Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/367,40/959,716/534
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 29,40,716
Greatest Common Factor of Numerators i.e. GCF of 29,40,716 is 1 .
LCM of Denominators means LCM of 367,959,534 as per the given fractions.
LCM of 367,959,534 is 187942902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,40,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 29,40,716 . The biggest common factor number is the GCF number.
So the greatest common factor 29,40,716 is 1.
Lets's calculate LCM of 367,959,534
Given numbers has no common factors except 1. So, there LCM is their product i.e 187942902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187942902
Therefore, the GCF of Fractions 29/367,40/959,716/534 is 1/187942902
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 367,959,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,959,534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,959,534) x common factors =1 x 1 = 1
LCM(367,959,534) = ( 367 × 959 × 534 ) / 1
LCM(367,959,534) = 187942902 / 1
LCM(367,959,534) = 187942902
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 29/367, 40/959, 716/534?
Answer: GCF of Numerators as per given numbers 29/367, 40/959, 716/534 is
GCF of Numerators i.e. for 29,40,716 is 1
LCM of denominators i.e. for 367,959,534 is 187942902.
Thus, GCF of Fractions is 1/187942902.Finally, GCF of Fractions for 29/367, 40/959, 716/534 is 1/187942902.