Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3221/254,4206/264
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 3221,4206
Greatest Common Factor of Numerators i.e. GCF of 3221,4206 is 1 .
LCM of Denominators means LCM of 254,264 as per the given fractions.
LCM of 254,264 is 33528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3221,4206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3221
List of positive integer factors of 3221 that divides 3221 without a remainder.
1,3221
Factors of 4206
List of positive integer factors of 4206 that divides 4206 without a remainder.
1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 3221,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 3221,4206 is 1.
Lets's calculate LCM of 254,264
2 | 254, 264 |
127, 132 |
∴ So the LCM of the given numbers is 2 x 127 x 132 = 33528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33528
Therefore, the GCF of Fractions 3221/254,4206/264 is 1/33528
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 254,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,264) x common factors =2 x 1 = 2
LCM(254,264) = ( 254 × 264 ) / 2
LCM(254,264) = 67056 / 2
LCM(254,264) = 33528
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 3221/254, 4206/264?
Answer: GCF of Numerators as per given numbers 3221/254, 4206/264 is
GCF of Numerators i.e. for 3221,4206 is 1
LCM of denominators i.e. for 254,264 is 33528.
Thus, GCF of Fractions is 1/33528.Finally, GCF of Fractions for 3221/254, 4206/264 is 1/33528.