Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6686/162,3155/1623
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 6686,3155
Greatest Common Factor of Numerators i.e. GCF of 6686,3155 is 1 .
LCM of Denominators means LCM of 162,1623 as per the given fractions.
LCM of 162,1623 is 87642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6686,3155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6686
List of positive integer factors of 6686 that divides 6686 without a remainder.
1,2,3343,6686
Factors of 3155
List of positive integer factors of 3155 that divides 3155 without a remainder.
1,5,631,3155
Greatest Common Factor
We found the factors 6686,3155 . The biggest common factor number is the GCF number.
So the greatest common factor 6686,3155 is 1.
Lets's calculate LCM of 162,1623
3 | 162, 1623 |
54, 541 |
∴ So the LCM of the given numbers is 3 x 54 x 541 = 87642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87642
Therefore, the GCF of Fractions 6686/162,3155/1623 is 1/87642
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 162,1623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,1623) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(162,1623) x common factors =3 x 1 = 3
LCM(162,1623) = ( 162 × 1623 ) / 3
LCM(162,1623) = 262926 / 3
LCM(162,1623) = 87642
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 6686/162, 3155/1623?
Answer: GCF of Numerators as per given numbers 6686/162, 3155/1623 is
GCF of Numerators i.e. for 6686,3155 is 1
LCM of denominators i.e. for 162,1623 is 87642.
Thus, GCF of Fractions is 1/87642.Finally, GCF of Fractions for 6686/162, 3155/1623 is 1/87642.