Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1258/789,5911/4567
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 1258,5911
Greatest Common Factor of Numerators i.e. GCF of 1258,5911 is 1 .
LCM of Denominators means LCM of 789,4567 as per the given fractions.
LCM of 789,4567 is 3603363 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1258,5911
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1258
List of positive integer factors of 1258 that divides 1258 without a remainder.
1,2,17,34,37,74,629,1258
Factors of 5911
List of positive integer factors of 5911 that divides 5911 without a remainder.
1,23,257,5911
Greatest Common Factor
We found the factors 1258,5911 . The biggest common factor number is the GCF number.
So the greatest common factor 1258,5911 is 1.
Lets's calculate LCM of 789,4567
Given numbers has no common factors except 1. So, there LCM is their product i.e 3603363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3603363
Therefore, the GCF of Fractions 1258/789,5911/4567 is 1/3603363
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 789,4567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,4567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,4567) x common factors =1 x 1 = 1
LCM(789,4567) = ( 789 × 4567 ) / 1
LCM(789,4567) = 3603363 / 1
LCM(789,4567) = 3603363
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 1258/789, 5911/4567?
Answer: GCF of Numerators as per given numbers 1258/789, 5911/4567 is
GCF of Numerators i.e. for 1258,5911 is 1
LCM of denominators i.e. for 789,4567 is 3603363.
Thus, GCF of Fractions is 1/3603363.Finally, GCF of Fractions for 1258/789, 5911/4567 is 1/3603363.