Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 209/212,3531/895
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 209,3531
Greatest Common Factor of Numerators i.e. GCF of 209,3531 is 11 .
LCM of Denominators means LCM of 212,895 as per the given fractions.
LCM of 212,895 is 189740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 209,3531
11 | 209, 3531 |
19, 321 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 3531
List of positive integer factors of 3531 that divides 3531 without a remainder.
1,3,11,33,107,321,1177,3531
Greatest Common Factor
We found the factors 209,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 209,3531 is 11.
Lets's calculate LCM of 212,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 189740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/189740
Therefore, the GCF of Fractions 209/212,3531/895 is 11/189740
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 212,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,895) x common factors =1 x 1 = 1
LCM(212,895) = ( 212 × 895 ) / 1
LCM(212,895) = 189740 / 1
LCM(212,895) = 189740
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 209/212, 3531/895?
Answer: GCF of Numerators as per given numbers 209/212, 3531/895 is
GCF of Numerators i.e. for 209,3531 is 11
LCM of denominators i.e. for 212,895 is 189740.
Thus, GCF of Fractions is 11/189740.Finally, GCF of Fractions for 209/212, 3531/895 is 11/189740.