Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5316/361,9839/5847
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 5316,9839
Greatest Common Factor of Numerators i.e. GCF of 5316,9839 is 1 .
LCM of Denominators means LCM of 361,5847 as per the given fractions.
LCM of 361,5847 is 2110767 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5316,9839
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5316
List of positive integer factors of 5316 that divides 5316 without a remainder.
1,2,3,4,6,12,443,886,1329,1772,2658,5316
Factors of 9839
List of positive integer factors of 9839 that divides 9839 without a remainder.
1,9839
Greatest Common Factor
We found the factors 5316,9839 . The biggest common factor number is the GCF number.
So the greatest common factor 5316,9839 is 1.
Lets's calculate LCM of 361,5847
Given numbers has no common factors except 1. So, there LCM is their product i.e 2110767
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2110767
Therefore, the GCF of Fractions 5316/361,9839/5847 is 1/2110767
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 361,5847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,5847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,5847) x common factors =1 x 1 = 1
LCM(361,5847) = ( 361 × 5847 ) / 1
LCM(361,5847) = 2110767 / 1
LCM(361,5847) = 2110767
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 5316/361, 9839/5847?
Answer: GCF of Numerators as per given numbers 5316/361, 9839/5847 is
GCF of Numerators i.e. for 5316,9839 is 1
LCM of denominators i.e. for 361,5847 is 2110767.
Thus, GCF of Fractions is 1/2110767.Finally, GCF of Fractions for 5316/361, 9839/5847 is 1/2110767.