Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2178/876,3699/1537
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 2178,3699
Greatest Common Factor of Numerators i.e. GCF of 2178,3699 is 9 .
LCM of Denominators means LCM of 876,1537 as per the given fractions.
LCM of 876,1537 is 1346412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2178,3699
3 | 2178, 3699 |
3 | 726, 1233 |
242, 411 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 2178
List of positive integer factors of 2178 that divides 2178 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,121,198,242,363,726,1089,2178
Factors of 3699
List of positive integer factors of 3699 that divides 3699 without a remainder.
1,3,9,27,137,411,1233,3699
Greatest Common Factor
We found the factors 2178,3699 . The biggest common factor number is the GCF number.
So the greatest common factor 2178,3699 is 9.
Lets's calculate LCM of 876,1537
Given numbers has no common factors except 1. So, there LCM is their product i.e 1346412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1346412
Therefore, the GCF of Fractions 2178/876,3699/1537 is 9/1346412
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 876,1537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,1537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(876,1537) x common factors =1 x 1 = 1
LCM(876,1537) = ( 876 × 1537 ) / 1
LCM(876,1537) = 1346412 / 1
LCM(876,1537) = 1346412
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 2178/876, 3699/1537?
Answer: GCF of Numerators as per given numbers 2178/876, 3699/1537 is
GCF of Numerators i.e. for 2178,3699 is 9
LCM of denominators i.e. for 876,1537 is 1346412.
Thus, GCF of Fractions is 9/1346412.Finally, GCF of Fractions for 2178/876, 3699/1537 is 9/1346412.