Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1794/65,3036/361
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 1794,3036
Greatest Common Factor of Numerators i.e. GCF of 1794,3036 is 138 .
LCM of Denominators means LCM of 65,361 as per the given fractions.
LCM of 65,361 is 23465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1794,3036
2 | 1794, 3036 |
3 | 897, 1518 |
23 | 299, 506 |
13, 22 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Factors of 1794
List of positive integer factors of 1794 that divides 1794 without a remainder.
1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Factors of 3036
List of positive integer factors of 3036 that divides 3036 without a remainder.
1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036
Greatest Common Factor
We found the factors 1794,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 1794,3036 is 138.
Lets's calculate LCM of 65,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 23465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/23465
Therefore, the GCF of Fractions 1794/65,3036/361 is 138/23465
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 65,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,361) x common factors =1 x 1 = 1
LCM(65,361) = ( 65 × 361 ) / 1
LCM(65,361) = 23465 / 1
LCM(65,361) = 23465
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 1794/65, 3036/361?
Answer: GCF of Numerators as per given numbers 1794/65, 3036/361 is
GCF of Numerators i.e. for 1794,3036 is 138
LCM of denominators i.e. for 65,361 is 23465.
Thus, GCF of Fractions is 138/23465.Finally, GCF of Fractions for 1794/65, 3036/361 is 138/23465.