Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2970/789,9551/6175
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 2970,9551
Greatest Common Factor of Numerators i.e. GCF of 2970,9551 is 1 .
LCM of Denominators means LCM of 789,6175 as per the given fractions.
LCM of 789,6175 is 4872075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2970,9551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2970
List of positive integer factors of 2970 that divides 2970 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Factors of 9551
List of positive integer factors of 9551 that divides 9551 without a remainder.
1,9551
Greatest Common Factor
We found the factors 2970,9551 . The biggest common factor number is the GCF number.
So the greatest common factor 2970,9551 is 1.
Lets's calculate LCM of 789,6175
Given numbers has no common factors except 1. So, there LCM is their product i.e 4872075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4872075
Therefore, the GCF of Fractions 2970/789,9551/6175 is 1/4872075
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 789,6175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,6175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,6175) x common factors =1 x 1 = 1
LCM(789,6175) = ( 789 × 6175 ) / 1
LCM(789,6175) = 4872075 / 1
LCM(789,6175) = 4872075
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 2970/789, 9551/6175?
Answer: GCF of Numerators as per given numbers 2970/789, 9551/6175 is
GCF of Numerators i.e. for 2970,9551 is 1
LCM of denominators i.e. for 789,6175 is 4872075.
Thus, GCF of Fractions is 1/4872075.Finally, GCF of Fractions for 2970/789, 9551/6175 is 1/4872075.