Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 449/438,8856/3611
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 449,8856
Greatest Common Factor of Numerators i.e. GCF of 449,8856 is 1 .
LCM of Denominators means LCM of 438,3611 as per the given fractions.
LCM of 438,3611 is 1581618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 449,8856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 8856
List of positive integer factors of 8856 that divides 8856 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856
Greatest Common Factor
We found the factors 449,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 449,8856 is 1.
Lets's calculate LCM of 438,3611
Given numbers has no common factors except 1. So, there LCM is their product i.e 1581618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1581618
Therefore, the GCF of Fractions 449/438,8856/3611 is 1/1581618
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 438,3611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,3611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,3611) x common factors =1 x 1 = 1
LCM(438,3611) = ( 438 × 3611 ) / 1
LCM(438,3611) = 1581618 / 1
LCM(438,3611) = 1581618
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 449/438, 8856/3611?
Answer: GCF of Numerators as per given numbers 449/438, 8856/3611 is
GCF of Numerators i.e. for 449,8856 is 1
LCM of denominators i.e. for 438,3611 is 1581618.
Thus, GCF of Fractions is 1/1581618.Finally, GCF of Fractions for 449/438, 8856/3611 is 1/1581618.