Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/18,226/37,687/16
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 950,226,687
Greatest Common Factor of Numerators i.e. GCF of 950,226,687 is 1 .
LCM of Denominators means LCM of 18,37,16 as per the given fractions.
LCM of 18,37,16 is 5328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 950,226,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 950,226,687 . The biggest common factor number is the GCF number.
So the greatest common factor 950,226,687 is 1.
Lets's calculate LCM of 18,37,16
2 | 18, 37, 16 |
9, 37, 8 |
∴ So the LCM of the given numbers is 2 x 9 x 37 x 8 = 5328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5328
Therefore, the GCF of Fractions 950/18,226/37,687/16 is 1/5328
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 18,37,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,37,16) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,37,16) x common factors =1 x 2 = 2
LCM(18,37,16) = ( 18 × 37 × 16 ) / 2
LCM(18,37,16) = 10656 / 2
LCM(18,37,16) = 5328
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 950/18, 226/37, 687/16?
Answer: GCF of Numerators as per given numbers 950/18, 226/37, 687/16 is
GCF of Numerators i.e. for 950,226,687 is 1
LCM of denominators i.e. for 18,37,16 is 5328.
Thus, GCF of Fractions is 1/5328.Finally, GCF of Fractions for 950/18, 226/37, 687/16 is 1/5328.