Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/2113,610/9051
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 937,610
Greatest Common Factor of Numerators i.e. GCF of 937,610 is 1 .
LCM of Denominators means LCM of 2113,9051 as per the given fractions.
LCM of 2113,9051 is 19124763 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 937,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 937,610 . The biggest common factor number is the GCF number.
So the greatest common factor 937,610 is 1.
Lets's calculate LCM of 2113,9051
Given numbers has no common factors except 1. So, there LCM is their product i.e 19124763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19124763
Therefore, the GCF of Fractions 937/2113,610/9051 is 1/19124763
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 2113,9051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2113,9051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2113,9051) x common factors =1 x 1 = 1
LCM(2113,9051) = ( 2113 × 9051 ) / 1
LCM(2113,9051) = 19124763 / 1
LCM(2113,9051) = 19124763
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 937/2113, 610/9051?
Answer: GCF of Numerators as per given numbers 937/2113, 610/9051 is
GCF of Numerators i.e. for 937,610 is 1
LCM of denominators i.e. for 2113,9051 is 19124763.
Thus, GCF of Fractions is 1/19124763.Finally, GCF of Fractions for 937/2113, 610/9051 is 1/19124763.