Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/77,554/54,209/412
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 333,554,209
Greatest Common Factor of Numerators i.e. GCF of 333,554,209 is 1 .
LCM of Denominators means LCM of 77,54,412 as per the given fractions.
LCM of 77,54,412 is 856548 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 333,554,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 333,554,209 . The biggest common factor number is the GCF number.
So the greatest common factor 333,554,209 is 1.
Lets's calculate LCM of 77,54,412
2 | 77, 54, 412 |
77, 27, 206 |
∴ So the LCM of the given numbers is 2 x 77 x 27 x 206 = 856548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/856548
Therefore, the GCF of Fractions 333/77,554/54,209/412 is 1/856548
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 77,54,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,54,412) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(77,54,412) x common factors =1 x 2 = 2
LCM(77,54,412) = ( 77 × 54 × 412 ) / 2
LCM(77,54,412) = 1713096 / 2
LCM(77,54,412) = 856548
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 333/77, 554/54, 209/412?
Answer: GCF of Numerators as per given numbers 333/77, 554/54, 209/412 is
GCF of Numerators i.e. for 333,554,209 is 1
LCM of denominators i.e. for 77,54,412 is 856548.
Thus, GCF of Fractions is 1/856548.Finally, GCF of Fractions for 333/77, 554/54, 209/412 is 1/856548.