Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4977/893,8824/1007
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 4977,8824
Greatest Common Factor of Numerators i.e. GCF of 4977,8824 is 1 .
LCM of Denominators means LCM of 893,1007 as per the given fractions.
LCM of 893,1007 is 47329 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4977,8824
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4977
List of positive integer factors of 4977 that divides 4977 without a remainder.
1,3,7,9,21,63,79,237,553,711,1659,4977
Factors of 8824
List of positive integer factors of 8824 that divides 8824 without a remainder.
1,2,4,8,1103,2206,4412,8824
Greatest Common Factor
We found the factors 4977,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,8824 is 1.
Lets's calculate LCM of 893,1007
19 | 893, 1007 |
47, 53 |
∴ So the LCM of the given numbers is 19 x 47 x 53 = 47329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47329
Therefore, the GCF of Fractions 4977/893,8824/1007 is 1/47329
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 893,1007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,1007) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(893,1007) x common factors =19 x 1 = 19
LCM(893,1007) = ( 893 × 1007 ) / 19
LCM(893,1007) = 899251 / 19
LCM(893,1007) = 47329
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 4977/893, 8824/1007?
Answer: GCF of Numerators as per given numbers 4977/893, 8824/1007 is
GCF of Numerators i.e. for 4977,8824 is 1
LCM of denominators i.e. for 893,1007 is 47329.
Thus, GCF of Fractions is 1/47329.Finally, GCF of Fractions for 4977/893, 8824/1007 is 1/47329.