Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8145/886,7409/9173
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 8145,7409
Greatest Common Factor of Numerators i.e. GCF of 8145,7409 is 1 .
LCM of Denominators means LCM of 886,9173 as per the given fractions.
LCM of 886,9173 is 8127278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8145,7409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8145
List of positive integer factors of 8145 that divides 8145 without a remainder.
1,3,5,9,15,45,181,543,905,1629,2715,8145
Factors of 7409
List of positive integer factors of 7409 that divides 7409 without a remainder.
1,31,239,7409
Greatest Common Factor
We found the factors 8145,7409 . The biggest common factor number is the GCF number.
So the greatest common factor 8145,7409 is 1.
Lets's calculate LCM of 886,9173
Given numbers has no common factors except 1. So, there LCM is their product i.e 8127278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8127278
Therefore, the GCF of Fractions 8145/886,7409/9173 is 1/8127278
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 886,9173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,9173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(886,9173) x common factors =1 x 1 = 1
LCM(886,9173) = ( 886 × 9173 ) / 1
LCM(886,9173) = 8127278 / 1
LCM(886,9173) = 8127278
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 8145/886, 7409/9173?
Answer: GCF of Numerators as per given numbers 8145/886, 7409/9173 is
GCF of Numerators i.e. for 8145,7409 is 1
LCM of denominators i.e. for 886,9173 is 8127278.
Thus, GCF of Fractions is 1/8127278.Finally, GCF of Fractions for 8145/886, 7409/9173 is 1/8127278.