Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 262/216,667/468,454/237
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 262,667,454
Greatest Common Factor of Numerators i.e. GCF of 262,667,454 is 1 .
LCM of Denominators means LCM of 216,468,237 as per the given fractions.
LCM of 216,468,237 is 221832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 262,667,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 262,667,454 . The biggest common factor number is the GCF number.
So the greatest common factor 262,667,454 is 1.
Lets's calculate LCM of 216,468,237
2 | 216, 468, 237 |
2 | 108, 234, 237 |
3 | 54, 117, 237 |
3 | 18, 39, 79 |
6, 13, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 6 x 13 x 79 = 221832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221832
Therefore, the GCF of Fractions 262/216,667/468,454/237 is 1/221832
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 216,468,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,468,237) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(216,468,237) x common factors =3 x 36 = 108
LCM(216,468,237) = ( 216 × 468 × 237 ) / 108
LCM(216,468,237) = 23957856 / 108
LCM(216,468,237) = 221832
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 262/216, 667/468, 454/237?
Answer: GCF of Numerators as per given numbers 262/216, 667/468, 454/237 is
GCF of Numerators i.e. for 262,667,454 is 1
LCM of denominators i.e. for 216,468,237 is 221832.
Thus, GCF of Fractions is 1/221832.Finally, GCF of Fractions for 262/216, 667/468, 454/237 is 1/221832.