Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8804/636,1190/5676
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 8804,1190
Greatest Common Factor of Numerators i.e. GCF of 8804,1190 is 2 .
LCM of Denominators means LCM of 636,5676 as per the given fractions.
LCM of 636,5676 is 300828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8804,1190
2 | 8804, 1190 |
4402, 595 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8804
List of positive integer factors of 8804 that divides 8804 without a remainder.
1,2,4,31,62,71,124,142,284,2201,4402,8804
Factors of 1190
List of positive integer factors of 1190 that divides 1190 without a remainder.
1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190
Greatest Common Factor
We found the factors 8804,1190 . The biggest common factor number is the GCF number.
So the greatest common factor 8804,1190 is 2.
Lets's calculate LCM of 636,5676
2 | 636, 5676 |
2 | 318, 2838 |
3 | 159, 1419 |
53, 473 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 473 = 300828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300828
Therefore, the GCF of Fractions 8804/636,1190/5676 is 2/300828
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 636,5676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,5676) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,5676) x common factors =12 x 1 = 12
LCM(636,5676) = ( 636 × 5676 ) / 12
LCM(636,5676) = 3609936 / 12
LCM(636,5676) = 300828
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 8804/636, 1190/5676?
Answer: GCF of Numerators as per given numbers 8804/636, 1190/5676 is
GCF of Numerators i.e. for 8804,1190 is 2
LCM of denominators i.e. for 636,5676 is 300828.
Thus, GCF of Fractions is 2/300828.Finally, GCF of Fractions for 8804/636, 1190/5676 is 2/300828.