Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/17,4454/997
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 391,4454
Greatest Common Factor of Numerators i.e. GCF of 391,4454 is 17 .
LCM of Denominators means LCM of 17,997 as per the given fractions.
LCM of 17,997 is 16949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 391,4454
17 | 391, 4454 |
23, 262 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 4454
List of positive integer factors of 4454 that divides 4454 without a remainder.
1,2,17,34,131,262,2227,4454
Greatest Common Factor
We found the factors 391,4454 . The biggest common factor number is the GCF number.
So the greatest common factor 391,4454 is 17.
Lets's calculate LCM of 17,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 16949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/16949
Therefore, the GCF of Fractions 391/17,4454/997 is 17/16949
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 17,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,997) x common factors =1 x 1 = 1
LCM(17,997) = ( 17 × 997 ) / 1
LCM(17,997) = 16949 / 1
LCM(17,997) = 16949
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 391/17, 4454/997?
Answer: GCF of Numerators as per given numbers 391/17, 4454/997 is
GCF of Numerators i.e. for 391,4454 is 17
LCM of denominators i.e. for 17,997 is 16949.
Thus, GCF of Fractions is 17/16949.Finally, GCF of Fractions for 391/17, 4454/997 is 17/16949.