Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5413/983,7632/7478
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 5413,7632
Greatest Common Factor of Numerators i.e. GCF of 5413,7632 is 1 .
LCM of Denominators means LCM of 983,7478 as per the given fractions.
LCM of 983,7478 is 7350874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5413,7632
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5413
List of positive integer factors of 5413 that divides 5413 without a remainder.
1,5413
Factors of 7632
List of positive integer factors of 7632 that divides 7632 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632
Greatest Common Factor
We found the factors 5413,7632 . The biggest common factor number is the GCF number.
So the greatest common factor 5413,7632 is 1.
Lets's calculate LCM of 983,7478
Given numbers has no common factors except 1. So, there LCM is their product i.e 7350874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7350874
Therefore, the GCF of Fractions 5413/983,7632/7478 is 1/7350874
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 983,7478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,7478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,7478) x common factors =1 x 1 = 1
LCM(983,7478) = ( 983 × 7478 ) / 1
LCM(983,7478) = 7350874 / 1
LCM(983,7478) = 7350874
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 5413/983, 7632/7478?
Answer: GCF of Numerators as per given numbers 5413/983, 7632/7478 is
GCF of Numerators i.e. for 5413,7632 is 1
LCM of denominators i.e. for 983,7478 is 7350874.
Thus, GCF of Fractions is 1/7350874.Finally, GCF of Fractions for 5413/983, 7632/7478 is 1/7350874.