Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/649,3282/3972
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 895,3282
Greatest Common Factor of Numerators i.e. GCF of 895,3282 is 1 .
LCM of Denominators means LCM of 649,3972 as per the given fractions.
LCM of 649,3972 is 2577828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 895,3282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 3282
List of positive integer factors of 3282 that divides 3282 without a remainder.
1,2,3,6,547,1094,1641,3282
Greatest Common Factor
We found the factors 895,3282 . The biggest common factor number is the GCF number.
So the greatest common factor 895,3282 is 1.
Lets's calculate LCM of 649,3972
Given numbers has no common factors except 1. So, there LCM is their product i.e 2577828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2577828
Therefore, the GCF of Fractions 895/649,3282/3972 is 1/2577828
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 649,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,3972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,3972) x common factors =1 x 1 = 1
LCM(649,3972) = ( 649 × 3972 ) / 1
LCM(649,3972) = 2577828 / 1
LCM(649,3972) = 2577828
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 895/649, 3282/3972?
Answer: GCF of Numerators as per given numbers 895/649, 3282/3972 is
GCF of Numerators i.e. for 895,3282 is 1
LCM of denominators i.e. for 649,3972 is 2577828.
Thus, GCF of Fractions is 1/2577828.Finally, GCF of Fractions for 895/649, 3282/3972 is 1/2577828.