Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8086/683,7555/1770
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 8086,7555
Greatest Common Factor of Numerators i.e. GCF of 8086,7555 is 1 .
LCM of Denominators means LCM of 683,1770 as per the given fractions.
LCM of 683,1770 is 1208910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8086,7555
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8086
List of positive integer factors of 8086 that divides 8086 without a remainder.
1,2,13,26,311,622,4043,8086
Factors of 7555
List of positive integer factors of 7555 that divides 7555 without a remainder.
1,5,1511,7555
Greatest Common Factor
We found the factors 8086,7555 . The biggest common factor number is the GCF number.
So the greatest common factor 8086,7555 is 1.
Lets's calculate LCM of 683,1770
Given numbers has no common factors except 1. So, there LCM is their product i.e 1208910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1208910
Therefore, the GCF of Fractions 8086/683,7555/1770 is 1/1208910
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 683,1770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,1770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,1770) x common factors =1 x 1 = 1
LCM(683,1770) = ( 683 × 1770 ) / 1
LCM(683,1770) = 1208910 / 1
LCM(683,1770) = 1208910
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 8086/683, 7555/1770?
Answer: GCF of Numerators as per given numbers 8086/683, 7555/1770 is
GCF of Numerators i.e. for 8086,7555 is 1
LCM of denominators i.e. for 683,1770 is 1208910.
Thus, GCF of Fractions is 1/1208910.Finally, GCF of Fractions for 8086/683, 7555/1770 is 1/1208910.