Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1895/895,1316/8193
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 1895,1316
Greatest Common Factor of Numerators i.e. GCF of 1895,1316 is 1 .
LCM of Denominators means LCM of 895,8193 as per the given fractions.
LCM of 895,8193 is 7332735 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1895,1316
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1895
List of positive integer factors of 1895 that divides 1895 without a remainder.
1,5,379,1895
Factors of 1316
List of positive integer factors of 1316 that divides 1316 without a remainder.
1,2,4,7,14,28,47,94,188,329,658,1316
Greatest Common Factor
We found the factors 1895,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 1895,1316 is 1.
Lets's calculate LCM of 895,8193
Given numbers has no common factors except 1. So, there LCM is their product i.e 7332735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7332735
Therefore, the GCF of Fractions 1895/895,1316/8193 is 1/7332735
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 895,8193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,8193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,8193) x common factors =1 x 1 = 1
LCM(895,8193) = ( 895 × 8193 ) / 1
LCM(895,8193) = 7332735 / 1
LCM(895,8193) = 7332735
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 1895/895, 1316/8193?
Answer: GCF of Numerators as per given numbers 1895/895, 1316/8193 is
GCF of Numerators i.e. for 1895,1316 is 1
LCM of denominators i.e. for 895,8193 is 7332735.
Thus, GCF of Fractions is 1/7332735.Finally, GCF of Fractions for 1895/895, 1316/8193 is 1/7332735.