Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 501/1225,808/5229
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 501,808
Greatest Common Factor of Numerators i.e. GCF of 501,808 is 1 .
LCM of Denominators means LCM of 1225,5229 as per the given fractions.
LCM of 1225,5229 is 915075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 501,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 501,808 . The biggest common factor number is the GCF number.
So the greatest common factor 501,808 is 1.
Lets's calculate LCM of 1225,5229
7 | 1225, 5229 |
175, 747 |
∴ So the LCM of the given numbers is 7 x 175 x 747 = 915075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915075
Therefore, the GCF of Fractions 501/1225,808/5229 is 1/915075
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 1225,5229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1225,5229) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(1225,5229) x common factors =7 x 1 = 7
LCM(1225,5229) = ( 1225 × 5229 ) / 7
LCM(1225,5229) = 6405525 / 7
LCM(1225,5229) = 915075
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 501/1225, 808/5229?
Answer: GCF of Numerators as per given numbers 501/1225, 808/5229 is
GCF of Numerators i.e. for 501,808 is 1
LCM of denominators i.e. for 1225,5229 is 915075.
Thus, GCF of Fractions is 1/915075.Finally, GCF of Fractions for 501/1225, 808/5229 is 1/915075.