Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6017/895,7701/133
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 6017,7701
Greatest Common Factor of Numerators i.e. GCF of 6017,7701 is 1 .
LCM of Denominators means LCM of 895,133 as per the given fractions.
LCM of 895,133 is 119035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6017,7701
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6017
List of positive integer factors of 6017 that divides 6017 without a remainder.
1,11,547,6017
Factors of 7701
List of positive integer factors of 7701 that divides 7701 without a remainder.
1,3,17,51,151,453,2567,7701
Greatest Common Factor
We found the factors 6017,7701 . The biggest common factor number is the GCF number.
So the greatest common factor 6017,7701 is 1.
Lets's calculate LCM of 895,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 119035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119035
Therefore, the GCF of Fractions 6017/895,7701/133 is 1/119035
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 895,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,133) x common factors =1 x 1 = 1
LCM(895,133) = ( 895 × 133 ) / 1
LCM(895,133) = 119035 / 1
LCM(895,133) = 119035
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 6017/895, 7701/133?
Answer: GCF of Numerators as per given numbers 6017/895, 7701/133 is
GCF of Numerators i.e. for 6017,7701 is 1
LCM of denominators i.e. for 895,133 is 119035.
Thus, GCF of Fractions is 1/119035.Finally, GCF of Fractions for 6017/895, 7701/133 is 1/119035.