Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5629/93,1984/719
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 5629,1984
Greatest Common Factor of Numerators i.e. GCF of 5629,1984 is 1 .
LCM of Denominators means LCM of 93,719 as per the given fractions.
LCM of 93,719 is 66867 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5629,1984
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5629
List of positive integer factors of 5629 that divides 5629 without a remainder.
1,13,433,5629
Factors of 1984
List of positive integer factors of 1984 that divides 1984 without a remainder.
1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Greatest Common Factor
We found the factors 5629,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 5629,1984 is 1.
Lets's calculate LCM of 93,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 66867
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66867
Therefore, the GCF of Fractions 5629/93,1984/719 is 1/66867
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 93,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,719) x common factors =1 x 1 = 1
LCM(93,719) = ( 93 × 719 ) / 1
LCM(93,719) = 66867 / 1
LCM(93,719) = 66867
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 5629/93, 1984/719?
Answer: GCF of Numerators as per given numbers 5629/93, 1984/719 is
GCF of Numerators i.e. for 5629,1984 is 1
LCM of denominators i.e. for 93,719 is 66867.
Thus, GCF of Fractions is 1/66867.Finally, GCF of Fractions for 5629/93, 1984/719 is 1/66867.