Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9927/627,6349/2137
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 9927,6349
Greatest Common Factor of Numerators i.e. GCF of 9927,6349 is 1 .
LCM of Denominators means LCM of 627,2137 as per the given fractions.
LCM of 627,2137 is 1339899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9927,6349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9927
List of positive integer factors of 9927 that divides 9927 without a remainder.
1,3,9,1103,3309,9927
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1,7,907,6349
Greatest Common Factor
We found the factors 9927,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 9927,6349 is 1.
Lets's calculate LCM of 627,2137
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1339899
Therefore, the GCF of Fractions 9927/627,6349/2137 is 1/1339899
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 627,2137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,2137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,2137) x common factors =1 x 1 = 1
LCM(627,2137) = ( 627 × 2137 ) / 1
LCM(627,2137) = 1339899 / 1
LCM(627,2137) = 1339899
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 9927/627, 6349/2137?
Answer: GCF of Numerators as per given numbers 9927/627, 6349/2137 is
GCF of Numerators i.e. for 9927,6349 is 1
LCM of denominators i.e. for 627,2137 is 1339899.
Thus, GCF of Fractions is 1/1339899.Finally, GCF of Fractions for 9927/627, 6349/2137 is 1/1339899.