Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4995/36,2646/677
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 4995,2646
Greatest Common Factor of Numerators i.e. GCF of 4995,2646 is 27 .
LCM of Denominators means LCM of 36,677 as per the given fractions.
LCM of 36,677 is 24372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4995,2646
3 | 4995, 2646 |
3 | 1665, 882 |
3 | 555, 294 |
185, 98 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 4995
List of positive integer factors of 4995 that divides 4995 without a remainder.
1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995
Factors of 2646
List of positive integer factors of 2646 that divides 2646 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646
Greatest Common Factor
We found the factors 4995,2646 . The biggest common factor number is the GCF number.
So the greatest common factor 4995,2646 is 27.
Lets's calculate LCM of 36,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 24372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/24372
Therefore, the GCF of Fractions 4995/36,2646/677 is 27/24372
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 36,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,677) x common factors =1 x 1 = 1
LCM(36,677) = ( 36 × 677 ) / 1
LCM(36,677) = 24372 / 1
LCM(36,677) = 24372
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 4995/36, 2646/677?
Answer: GCF of Numerators as per given numbers 4995/36, 2646/677 is
GCF of Numerators i.e. for 4995,2646 is 27
LCM of denominators i.e. for 36,677 is 24372.
Thus, GCF of Fractions is 27/24372.Finally, GCF of Fractions for 4995/36, 2646/677 is 27/24372.