Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7060/83,5095/229
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 7060,5095
Greatest Common Factor of Numerators i.e. GCF of 7060,5095 is 5 .
LCM of Denominators means LCM of 83,229 as per the given fractions.
LCM of 83,229 is 19007 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7060,5095
5 | 7060, 5095 |
1412, 1019 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7060
List of positive integer factors of 7060 that divides 7060 without a remainder.
1,2,4,5,10,20,353,706,1412,1765,3530,7060
Factors of 5095
List of positive integer factors of 5095 that divides 5095 without a remainder.
1,5,1019,5095
Greatest Common Factor
We found the factors 7060,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 7060,5095 is 5.
Lets's calculate LCM of 83,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 19007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/19007
Therefore, the GCF of Fractions 7060/83,5095/229 is 5/19007
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 83,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,229) x common factors =1 x 1 = 1
LCM(83,229) = ( 83 × 229 ) / 1
LCM(83,229) = 19007 / 1
LCM(83,229) = 19007
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 7060/83, 5095/229?
Answer: GCF of Numerators as per given numbers 7060/83, 5095/229 is
GCF of Numerators i.e. for 7060,5095 is 5
LCM of denominators i.e. for 83,229 is 19007.
Thus, GCF of Fractions is 5/19007.Finally, GCF of Fractions for 7060/83, 5095/229 is 5/19007.