Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 656/61,7013/660
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 656,7013
Greatest Common Factor of Numerators i.e. GCF of 656,7013 is 1 .
LCM of Denominators means LCM of 61,660 as per the given fractions.
LCM of 61,660 is 40260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 656,7013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 7013
List of positive integer factors of 7013 that divides 7013 without a remainder.
1,7013
Greatest Common Factor
We found the factors 656,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 656,7013 is 1.
Lets's calculate LCM of 61,660
Given numbers has no common factors except 1. So, there LCM is their product i.e 40260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40260
Therefore, the GCF of Fractions 656/61,7013/660 is 1/40260
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 61,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,660) x common factors =1 x 1 = 1
LCM(61,660) = ( 61 × 660 ) / 1
LCM(61,660) = 40260 / 1
LCM(61,660) = 40260
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 656/61, 7013/660?
Answer: GCF of Numerators as per given numbers 656/61, 7013/660 is
GCF of Numerators i.e. for 656,7013 is 1
LCM of denominators i.e. for 61,660 is 40260.
Thus, GCF of Fractions is 1/40260.Finally, GCF of Fractions for 656/61, 7013/660 is 1/40260.