Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8066/15,8087/628
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 8066,8087
Greatest Common Factor of Numerators i.e. GCF of 8066,8087 is 1 .
LCM of Denominators means LCM of 15,628 as per the given fractions.
LCM of 15,628 is 9420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8066,8087
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8066
List of positive integer factors of 8066 that divides 8066 without a remainder.
1,2,37,74,109,218,4033,8066
Factors of 8087
List of positive integer factors of 8087 that divides 8087 without a remainder.
1,8087
Greatest Common Factor
We found the factors 8066,8087 . The biggest common factor number is the GCF number.
So the greatest common factor 8066,8087 is 1.
Lets's calculate LCM of 15,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 9420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9420
Therefore, the GCF of Fractions 8066/15,8087/628 is 1/9420
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 15,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,628) x common factors =1 x 1 = 1
LCM(15,628) = ( 15 × 628 ) / 1
LCM(15,628) = 9420 / 1
LCM(15,628) = 9420
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 8066/15, 8087/628?
Answer: GCF of Numerators as per given numbers 8066/15, 8087/628 is
GCF of Numerators i.e. for 8066,8087 is 1
LCM of denominators i.e. for 15,628 is 9420.
Thus, GCF of Fractions is 1/9420.Finally, GCF of Fractions for 8066/15, 8087/628 is 1/9420.