Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/22,461/90,638/502
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 162,461,638
Greatest Common Factor of Numerators i.e. GCF of 162,461,638 is 1 .
LCM of Denominators means LCM of 22,90,502 as per the given fractions.
LCM of 22,90,502 is 248490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,461,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 162,461,638 . The biggest common factor number is the GCF number.
So the greatest common factor 162,461,638 is 1.
Lets's calculate LCM of 22,90,502
2 | 22, 90, 502 |
11, 45, 251 |
∴ So the LCM of the given numbers is 2 x 11 x 45 x 251 = 248490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248490
Therefore, the GCF of Fractions 162/22,461/90,638/502 is 1/248490
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 22,90,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,90,502) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(22,90,502) x common factors =2 x 2 = 4
LCM(22,90,502) = ( 22 × 90 × 502 ) / 4
LCM(22,90,502) = 993960 / 4
LCM(22,90,502) = 248490
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 162/22, 461/90, 638/502?
Answer: GCF of Numerators as per given numbers 162/22, 461/90, 638/502 is
GCF of Numerators i.e. for 162,461,638 is 1
LCM of denominators i.e. for 22,90,502 is 248490.
Thus, GCF of Fractions is 1/248490.Finally, GCF of Fractions for 162/22, 461/90, 638/502 is 1/248490.