Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4985/661,4220/808
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 4985,4220
Greatest Common Factor of Numerators i.e. GCF of 4985,4220 is 5 .
LCM of Denominators means LCM of 661,808 as per the given fractions.
LCM of 661,808 is 534088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4985,4220
5 | 4985, 4220 |
997, 844 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4985
List of positive integer factors of 4985 that divides 4985 without a remainder.
1,5,997,4985
Factors of 4220
List of positive integer factors of 4220 that divides 4220 without a remainder.
1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 4985,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 4985,4220 is 5.
Lets's calculate LCM of 661,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 534088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/534088
Therefore, the GCF of Fractions 4985/661,4220/808 is 5/534088
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 661,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,808) x common factors =1 x 1 = 1
LCM(661,808) = ( 661 × 808 ) / 1
LCM(661,808) = 534088 / 1
LCM(661,808) = 534088
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 4985/661, 4220/808?
Answer: GCF of Numerators as per given numbers 4985/661, 4220/808 is
GCF of Numerators i.e. for 4985,4220 is 5
LCM of denominators i.e. for 661,808 is 534088.
Thus, GCF of Fractions is 5/534088.Finally, GCF of Fractions for 4985/661, 4220/808 is 5/534088.