Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1848/938,1332/391
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 1848,1332
Greatest Common Factor of Numerators i.e. GCF of 1848,1332 is 12 .
LCM of Denominators means LCM of 938,391 as per the given fractions.
LCM of 938,391 is 366758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1848,1332
2 | 1848, 1332 |
2 | 924, 666 |
3 | 462, 333 |
154, 111 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 1848
List of positive integer factors of 1848 that divides 1848 without a remainder.
1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848
Factors of 1332
List of positive integer factors of 1332 that divides 1332 without a remainder.
1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332
Greatest Common Factor
We found the factors 1848,1332 . The biggest common factor number is the GCF number.
So the greatest common factor 1848,1332 is 12.
Lets's calculate LCM of 938,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 366758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/366758
Therefore, the GCF of Fractions 1848/938,1332/391 is 12/366758
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 938,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,391) x common factors =1 x 1 = 1
LCM(938,391) = ( 938 × 391 ) / 1
LCM(938,391) = 366758 / 1
LCM(938,391) = 366758
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 1848/938, 1332/391?
Answer: GCF of Numerators as per given numbers 1848/938, 1332/391 is
GCF of Numerators i.e. for 1848,1332 is 12
LCM of denominators i.e. for 938,391 is 366758.
Thus, GCF of Fractions is 12/366758.Finally, GCF of Fractions for 1848/938, 1332/391 is 12/366758.