Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2196/890,4026/8385
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 2196,4026
Greatest Common Factor of Numerators i.e. GCF of 2196,4026 is 366 .
LCM of Denominators means LCM of 890,8385 as per the given fractions.
LCM of 890,8385 is 1492530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2196,4026
2 | 2196, 4026 |
3 | 1098, 2013 |
61 | 366, 671 |
6, 11 |
∴ So the GCF of the given numbers is 2 x 3 x 61 = 366
Factors of 2196
List of positive integer factors of 2196 that divides 2196 without a remainder.
1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Factors of 4026
List of positive integer factors of 4026 that divides 4026 without a remainder.
1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026
Greatest Common Factor
We found the factors 2196,4026 . The biggest common factor number is the GCF number.
So the greatest common factor 2196,4026 is 366.
Lets's calculate LCM of 890,8385
5 | 890, 8385 |
178, 1677 |
∴ So the LCM of the given numbers is 5 x 178 x 1677 = 1492530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 366/1492530
Therefore, the GCF of Fractions 2196/890,4026/8385 is 366/1492530
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 890,8385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,8385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(890,8385) x common factors =5 x 1 = 5
LCM(890,8385) = ( 890 × 8385 ) / 5
LCM(890,8385) = 7462650 / 5
LCM(890,8385) = 1492530
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 2196/890, 4026/8385?
Answer: GCF of Numerators as per given numbers 2196/890, 4026/8385 is
GCF of Numerators i.e. for 2196,4026 is 366
LCM of denominators i.e. for 890,8385 is 1492530.
Thus, GCF of Fractions is 366/1492530.Finally, GCF of Fractions for 2196/890, 4026/8385 is 366/1492530.