Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5119/387,9523/1638
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 5119,9523
Greatest Common Factor of Numerators i.e. GCF of 5119,9523 is 1 .
LCM of Denominators means LCM of 387,1638 as per the given fractions.
LCM of 387,1638 is 70434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5119,9523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5119
List of positive integer factors of 5119 that divides 5119 without a remainder.
1,5119
Factors of 9523
List of positive integer factors of 9523 that divides 9523 without a remainder.
1,89,107,9523
Greatest Common Factor
We found the factors 5119,9523 . The biggest common factor number is the GCF number.
So the greatest common factor 5119,9523 is 1.
Lets's calculate LCM of 387,1638
3 | 387, 1638 |
3 | 129, 546 |
43, 182 |
∴ So the LCM of the given numbers is 3 x 3 x 43 x 182 = 70434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70434
Therefore, the GCF of Fractions 5119/387,9523/1638 is 1/70434
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 387,1638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,1638) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(387,1638) x common factors =9 x 1 = 9
LCM(387,1638) = ( 387 × 1638 ) / 9
LCM(387,1638) = 633906 / 9
LCM(387,1638) = 70434
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 5119/387, 9523/1638?
Answer: GCF of Numerators as per given numbers 5119/387, 9523/1638 is
GCF of Numerators i.e. for 5119,9523 is 1
LCM of denominators i.e. for 387,1638 is 70434.
Thus, GCF of Fractions is 1/70434.Finally, GCF of Fractions for 5119/387, 9523/1638 is 1/70434.