Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8838/717,1412/487
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 8838,1412
Greatest Common Factor of Numerators i.e. GCF of 8838,1412 is 2 .
LCM of Denominators means LCM of 717,487 as per the given fractions.
LCM of 717,487 is 349179 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8838,1412
2 | 8838, 1412 |
4419, 706 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8838
List of positive integer factors of 8838 that divides 8838 without a remainder.
1,2,3,6,9,18,491,982,1473,2946,4419,8838
Factors of 1412
List of positive integer factors of 1412 that divides 1412 without a remainder.
1,2,4,353,706,1412
Greatest Common Factor
We found the factors 8838,1412 . The biggest common factor number is the GCF number.
So the greatest common factor 8838,1412 is 2.
Lets's calculate LCM of 717,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 349179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/349179
Therefore, the GCF of Fractions 8838/717,1412/487 is 2/349179
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 717,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,487) x common factors =1 x 1 = 1
LCM(717,487) = ( 717 × 487 ) / 1
LCM(717,487) = 349179 / 1
LCM(717,487) = 349179
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 8838/717, 1412/487?
Answer: GCF of Numerators as per given numbers 8838/717, 1412/487 is
GCF of Numerators i.e. for 8838,1412 is 2
LCM of denominators i.e. for 717,487 is 349179.
Thus, GCF of Fractions is 2/349179.Finally, GCF of Fractions for 8838/717, 1412/487 is 2/349179.