Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/75,808/2377
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 505,808
Greatest Common Factor of Numerators i.e. GCF of 505,808 is 101 .
LCM of Denominators means LCM of 75,2377 as per the given fractions.
LCM of 75,2377 is 178275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,808
101 | 505, 808 |
5, 8 |
∴ So the GCF of the given numbers is 101 = 101
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
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 505,808 . The biggest common factor number is the GCF number.
So the greatest common factor 505,808 is 101.
Lets's calculate LCM of 75,2377
Given numbers has no common factors except 1. So, there LCM is their product i.e 178275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/178275
Therefore, the GCF of Fractions 505/75,808/2377 is 101/178275
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 75,2377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,2377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,2377) x common factors =1 x 1 = 1
LCM(75,2377) = ( 75 × 2377 ) / 1
LCM(75,2377) = 178275 / 1
LCM(75,2377) = 178275
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 505/75, 808/2377?
Answer: GCF of Numerators as per given numbers 505/75, 808/2377 is
GCF of Numerators i.e. for 505,808 is 101
LCM of denominators i.e. for 75,2377 is 178275.
Thus, GCF of Fractions is 101/178275.Finally, GCF of Fractions for 505/75, 808/2377 is 101/178275.