Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9067/856,6498/1815
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 9067,6498
Greatest Common Factor of Numerators i.e. GCF of 9067,6498 is 1 .
LCM of Denominators means LCM of 856,1815 as per the given fractions.
LCM of 856,1815 is 1553640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9067,6498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9067
List of positive integer factors of 9067 that divides 9067 without a remainder.
1,9067
Factors of 6498
List of positive integer factors of 6498 that divides 6498 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Greatest Common Factor
We found the factors 9067,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 9067,6498 is 1.
Lets's calculate LCM of 856,1815
Given numbers has no common factors except 1. So, there LCM is their product i.e 1553640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1553640
Therefore, the GCF of Fractions 9067/856,6498/1815 is 1/1553640
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 856,1815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,1815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,1815) x common factors =1 x 1 = 1
LCM(856,1815) = ( 856 × 1815 ) / 1
LCM(856,1815) = 1553640 / 1
LCM(856,1815) = 1553640
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 9067/856, 6498/1815?
Answer: GCF of Numerators as per given numbers 9067/856, 6498/1815 is
GCF of Numerators i.e. for 9067,6498 is 1
LCM of denominators i.e. for 856,1815 is 1553640.
Thus, GCF of Fractions is 1/1553640.Finally, GCF of Fractions for 9067/856, 6498/1815 is 1/1553640.