Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/743,369/719,412/644
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 79,369,412
Greatest Common Factor of Numerators i.e. GCF of 79,369,412 is 1 .
LCM of Denominators means LCM of 743,719,644 as per the given fractions.
LCM of 743,719,644 is 344035748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,369,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 79,369,412 . The biggest common factor number is the GCF number.
So the greatest common factor 79,369,412 is 1.
Lets's calculate LCM of 743,719,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 344035748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344035748
Therefore, the GCF of Fractions 79/743,369/719,412/644 is 1/344035748
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 743,719,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,719,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,719,644) x common factors =1 x 1 = 1
LCM(743,719,644) = ( 743 × 719 × 644 ) / 1
LCM(743,719,644) = 344035748 / 1
LCM(743,719,644) = 344035748
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 79/743, 369/719, 412/644?
Answer: GCF of Numerators as per given numbers 79/743, 369/719, 412/644 is
GCF of Numerators i.e. for 79,369,412 is 1
LCM of denominators i.e. for 743,719,644 is 344035748.
Thus, GCF of Fractions is 1/344035748.Finally, GCF of Fractions for 79/743, 369/719, 412/644 is 1/344035748.