Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6627/364,1011/1879
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 6627,1011
Greatest Common Factor of Numerators i.e. GCF of 6627,1011 is 3 .
LCM of Denominators means LCM of 364,1879 as per the given fractions.
LCM of 364,1879 is 683956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6627,1011
3 | 6627, 1011 |
2209, 337 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6627
List of positive integer factors of 6627 that divides 6627 without a remainder.
1,3,47,141,2209,6627
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1,3,337,1011
Greatest Common Factor
We found the factors 6627,1011 . The biggest common factor number is the GCF number.
So the greatest common factor 6627,1011 is 3.
Lets's calculate LCM of 364,1879
Given numbers has no common factors except 1. So, there LCM is their product i.e 683956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/683956
Therefore, the GCF of Fractions 6627/364,1011/1879 is 3/683956
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 364,1879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,1879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,1879) x common factors =1 x 1 = 1
LCM(364,1879) = ( 364 × 1879 ) / 1
LCM(364,1879) = 683956 / 1
LCM(364,1879) = 683956
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 6627/364, 1011/1879?
Answer: GCF of Numerators as per given numbers 6627/364, 1011/1879 is
GCF of Numerators i.e. for 6627,1011 is 3
LCM of denominators i.e. for 364,1879 is 683956.
Thus, GCF of Fractions is 3/683956.Finally, GCF of Fractions for 6627/364, 1011/1879 is 3/683956.