Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4892/827,3497/4617
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 4892,3497
Greatest Common Factor of Numerators i.e. GCF of 4892,3497 is 1 .
LCM of Denominators means LCM of 827,4617 as per the given fractions.
LCM of 827,4617 is 3818259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4892,3497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4892
List of positive integer factors of 4892 that divides 4892 without a remainder.
1,2,4,1223,2446,4892
Factors of 3497
List of positive integer factors of 3497 that divides 3497 without a remainder.
1,13,269,3497
Greatest Common Factor
We found the factors 4892,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 4892,3497 is 1.
Lets's calculate LCM of 827,4617
Given numbers has no common factors except 1. So, there LCM is their product i.e 3818259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3818259
Therefore, the GCF of Fractions 4892/827,3497/4617 is 1/3818259
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 827,4617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,4617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,4617) x common factors =1 x 1 = 1
LCM(827,4617) = ( 827 × 4617 ) / 1
LCM(827,4617) = 3818259 / 1
LCM(827,4617) = 3818259
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 4892/827, 3497/4617?
Answer: GCF of Numerators as per given numbers 4892/827, 3497/4617 is
GCF of Numerators i.e. for 4892,3497 is 1
LCM of denominators i.e. for 827,4617 is 3818259.
Thus, GCF of Fractions is 1/3818259.Finally, GCF of Fractions for 4892/827, 3497/4617 is 1/3818259.