Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/78,430/99,910/933
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 187,430,910
Greatest Common Factor of Numerators i.e. GCF of 187,430,910 is 1 .
LCM of Denominators means LCM of 78,99,933 as per the given fractions.
LCM of 78,99,933 is 800514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 187,430,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 187,430,910 . The biggest common factor number is the GCF number.
So the greatest common factor 187,430,910 is 1.
Lets's calculate LCM of 78,99,933
3 | 78, 99, 933 |
26, 33, 311 |
∴ So the LCM of the given numbers is 3 x 26 x 33 x 311 = 800514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800514
Therefore, the GCF of Fractions 187/78,430/99,910/933 is 1/800514
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 78,99,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,99,933) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(78,99,933) x common factors =3 x 3 = 9
LCM(78,99,933) = ( 78 × 99 × 933 ) / 9
LCM(78,99,933) = 7204626 / 9
LCM(78,99,933) = 800514
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 187/78, 430/99, 910/933?
Answer: GCF of Numerators as per given numbers 187/78, 430/99, 910/933 is
GCF of Numerators i.e. for 187,430,910 is 1
LCM of denominators i.e. for 78,99,933 is 800514.
Thus, GCF of Fractions is 1/800514.Finally, GCF of Fractions for 187/78, 430/99, 910/933 is 1/800514.