Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 662/219,5095/515
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 662,5095
Greatest Common Factor of Numerators i.e. GCF of 662,5095 is 1 .
LCM of Denominators means LCM of 219,515 as per the given fractions.
LCM of 219,515 is 112785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 662,5095
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
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 662,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 662,5095 is 1.
Lets's calculate LCM of 219,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 112785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112785
Therefore, the GCF of Fractions 662/219,5095/515 is 1/112785
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 219,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,515) x common factors =1 x 1 = 1
LCM(219,515) = ( 219 × 515 ) / 1
LCM(219,515) = 112785 / 1
LCM(219,515) = 112785
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 662/219, 5095/515?
Answer: GCF of Numerators as per given numbers 662/219, 5095/515 is
GCF of Numerators i.e. for 662,5095 is 1
LCM of denominators i.e. for 219,515 is 112785.
Thus, GCF of Fractions is 1/112785.Finally, GCF of Fractions for 662/219, 5095/515 is 1/112785.