Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4519/925,7690/722
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 4519,7690
Greatest Common Factor of Numerators i.e. GCF of 4519,7690 is 1 .
LCM of Denominators means LCM of 925,722 as per the given fractions.
LCM of 925,722 is 667850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4519,7690
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4519
List of positive integer factors of 4519 that divides 4519 without a remainder.
1,4519
Factors of 7690
List of positive integer factors of 7690 that divides 7690 without a remainder.
1,2,5,10,769,1538,3845,7690
Greatest Common Factor
We found the factors 4519,7690 . The biggest common factor number is the GCF number.
So the greatest common factor 4519,7690 is 1.
Lets's calculate LCM of 925,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 667850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667850
Therefore, the GCF of Fractions 4519/925,7690/722 is 1/667850
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 925,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,722) x common factors =1 x 1 = 1
LCM(925,722) = ( 925 × 722 ) / 1
LCM(925,722) = 667850 / 1
LCM(925,722) = 667850
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 4519/925, 7690/722?
Answer: GCF of Numerators as per given numbers 4519/925, 7690/722 is
GCF of Numerators i.e. for 4519,7690 is 1
LCM of denominators i.e. for 925,722 is 667850.
Thus, GCF of Fractions is 1/667850.Finally, GCF of Fractions for 4519/925, 7690/722 is 1/667850.