Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1838/504,4115/7884
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 1838,4115
Greatest Common Factor of Numerators i.e. GCF of 1838,4115 is 1 .
LCM of Denominators means LCM of 504,7884 as per the given fractions.
LCM of 504,7884 is 110376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1838,4115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Factors of 4115
List of positive integer factors of 4115 that divides 4115 without a remainder.
1,5,823,4115
Greatest Common Factor
We found the factors 1838,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 1838,4115 is 1.
Lets's calculate LCM of 504,7884
2 | 504, 7884 |
2 | 252, 3942 |
3 | 126, 1971 |
3 | 42, 657 |
14, 219 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 14 x 219 = 110376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110376
Therefore, the GCF of Fractions 1838/504,4115/7884 is 1/110376
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 504,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,7884) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(504,7884) x common factors =36 x 1 = 36
LCM(504,7884) = ( 504 × 7884 ) / 36
LCM(504,7884) = 3973536 / 36
LCM(504,7884) = 110376
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 1838/504, 4115/7884?
Answer: GCF of Numerators as per given numbers 1838/504, 4115/7884 is
GCF of Numerators i.e. for 1838,4115 is 1
LCM of denominators i.e. for 504,7884 is 110376.
Thus, GCF of Fractions is 1/110376.Finally, GCF of Fractions for 1838/504, 4115/7884 is 1/110376.