Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6665/430,8020/7763
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 6665,8020
Greatest Common Factor of Numerators i.e. GCF of 6665,8020 is 5 .
LCM of Denominators means LCM of 430,7763 as per the given fractions.
LCM of 430,7763 is 3338090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6665,8020
5 | 6665, 8020 |
1333, 1604 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6665
List of positive integer factors of 6665 that divides 6665 without a remainder.
1,5,31,43,155,215,1333,6665
Factors of 8020
List of positive integer factors of 8020 that divides 8020 without a remainder.
1,2,4,5,10,20,401,802,1604,2005,4010,8020
Greatest Common Factor
We found the factors 6665,8020 . The biggest common factor number is the GCF number.
So the greatest common factor 6665,8020 is 5.
Lets's calculate LCM of 430,7763
Given numbers has no common factors except 1. So, there LCM is their product i.e 3338090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3338090
Therefore, the GCF of Fractions 6665/430,8020/7763 is 5/3338090
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 430,7763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,7763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,7763) x common factors =1 x 1 = 1
LCM(430,7763) = ( 430 × 7763 ) / 1
LCM(430,7763) = 3338090 / 1
LCM(430,7763) = 3338090
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 6665/430, 8020/7763?
Answer: GCF of Numerators as per given numbers 6665/430, 8020/7763 is
GCF of Numerators i.e. for 6665,8020 is 5
LCM of denominators i.e. for 430,7763 is 3338090.
Thus, GCF of Fractions is 5/3338090.Finally, GCF of Fractions for 6665/430, 8020/7763 is 5/3338090.