Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6045/83,8707/907
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 6045,8707
Greatest Common Factor of Numerators i.e. GCF of 6045,8707 is 1 .
LCM of Denominators means LCM of 83,907 as per the given fractions.
LCM of 83,907 is 75281 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6045,8707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6045
List of positive integer factors of 6045 that divides 6045 without a remainder.
1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Factors of 8707
List of positive integer factors of 8707 that divides 8707 without a remainder.
1,8707
Greatest Common Factor
We found the factors 6045,8707 . The biggest common factor number is the GCF number.
So the greatest common factor 6045,8707 is 1.
Lets's calculate LCM of 83,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 75281
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75281
Therefore, the GCF of Fractions 6045/83,8707/907 is 1/75281
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 83,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,907) x common factors =1 x 1 = 1
LCM(83,907) = ( 83 × 907 ) / 1
LCM(83,907) = 75281 / 1
LCM(83,907) = 75281
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 6045/83, 8707/907?
Answer: GCF of Numerators as per given numbers 6045/83, 8707/907 is
GCF of Numerators i.e. for 6045,8707 is 1
LCM of denominators i.e. for 83,907 is 75281.
Thus, GCF of Fractions is 1/75281.Finally, GCF of Fractions for 6045/83, 8707/907 is 1/75281.