Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/40,898/4611
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 397,898
Greatest Common Factor of Numerators i.e. GCF of 397,898 is 1 .
LCM of Denominators means LCM of 40,4611 as per the given fractions.
LCM of 40,4611 is 184440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 397,898 . The biggest common factor number is the GCF number.
So the greatest common factor 397,898 is 1.
Lets's calculate LCM of 40,4611
Given numbers has no common factors except 1. So, there LCM is their product i.e 184440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184440
Therefore, the GCF of Fractions 397/40,898/4611 is 1/184440
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 40,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,4611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,4611) x common factors =1 x 1 = 1
LCM(40,4611) = ( 40 × 4611 ) / 1
LCM(40,4611) = 184440 / 1
LCM(40,4611) = 184440
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 397/40, 898/4611?
Answer: GCF of Numerators as per given numbers 397/40, 898/4611 is
GCF of Numerators i.e. for 397,898 is 1
LCM of denominators i.e. for 40,4611 is 184440.
Thus, GCF of Fractions is 1/184440.Finally, GCF of Fractions for 397/40, 898/4611 is 1/184440.