Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 609/202,4971/961
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 609,4971
Greatest Common Factor of Numerators i.e. GCF of 609,4971 is 3 .
LCM of Denominators means LCM of 202,961 as per the given fractions.
LCM of 202,961 is 194122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 609,4971
3 | 609, 4971 |
203, 1657 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1,3,1657,4971
Greatest Common Factor
We found the factors 609,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 609,4971 is 3.
Lets's calculate LCM of 202,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 194122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/194122
Therefore, the GCF of Fractions 609/202,4971/961 is 3/194122
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 202,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,961) x common factors =1 x 1 = 1
LCM(202,961) = ( 202 × 961 ) / 1
LCM(202,961) = 194122 / 1
LCM(202,961) = 194122
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 609/202, 4971/961?
Answer: GCF of Numerators as per given numbers 609/202, 4971/961 is
GCF of Numerators i.e. for 609,4971 is 3
LCM of denominators i.e. for 202,961 is 194122.
Thus, GCF of Fractions is 3/194122.Finally, GCF of Fractions for 609/202, 4971/961 is 3/194122.