Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4462/758,7159/805
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 4462,7159
Greatest Common Factor of Numerators i.e. GCF of 4462,7159 is 1 .
LCM of Denominators means LCM of 758,805 as per the given fractions.
LCM of 758,805 is 610190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4462,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4462
List of positive integer factors of 4462 that divides 4462 without a remainder.
1,2,23,46,97,194,2231,4462
Factors of 7159
List of positive integer factors of 7159 that divides 7159 without a remainder.
1,7159
Greatest Common Factor
We found the factors 4462,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 4462,7159 is 1.
Lets's calculate LCM of 758,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 610190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/610190
Therefore, the GCF of Fractions 4462/758,7159/805 is 1/610190
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 758,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,805) x common factors =1 x 1 = 1
LCM(758,805) = ( 758 × 805 ) / 1
LCM(758,805) = 610190 / 1
LCM(758,805) = 610190
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 4462/758, 7159/805?
Answer: GCF of Numerators as per given numbers 4462/758, 7159/805 is
GCF of Numerators i.e. for 4462,7159 is 1
LCM of denominators i.e. for 758,805 is 610190.
Thus, GCF of Fractions is 1/610190.Finally, GCF of Fractions for 4462/758, 7159/805 is 1/610190.