Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7873/183,4090/880
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 7873,4090
Greatest Common Factor of Numerators i.e. GCF of 7873,4090 is 1 .
LCM of Denominators means LCM of 183,880 as per the given fractions.
LCM of 183,880 is 161040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7873,4090
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7873
List of positive integer factors of 7873 that divides 7873 without a remainder.
1,7873
Factors of 4090
List of positive integer factors of 4090 that divides 4090 without a remainder.
1,2,5,10,409,818,2045,4090
Greatest Common Factor
We found the factors 7873,4090 . The biggest common factor number is the GCF number.
So the greatest common factor 7873,4090 is 1.
Lets's calculate LCM of 183,880
Given numbers has no common factors except 1. So, there LCM is their product i.e 161040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161040
Therefore, the GCF of Fractions 7873/183,4090/880 is 1/161040
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 183,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,880) x common factors =1 x 1 = 1
LCM(183,880) = ( 183 × 880 ) / 1
LCM(183,880) = 161040 / 1
LCM(183,880) = 161040
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 7873/183, 4090/880?
Answer: GCF of Numerators as per given numbers 7873/183, 4090/880 is
GCF of Numerators i.e. for 7873,4090 is 1
LCM of denominators i.e. for 183,880 is 161040.
Thus, GCF of Fractions is 1/161040.Finally, GCF of Fractions for 7873/183, 4090/880 is 1/161040.