Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 269/866,349/243,532/231
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 269,349,532
Greatest Common Factor of Numerators i.e. GCF of 269,349,532 is 1 .
LCM of Denominators means LCM of 866,243,231 as per the given fractions.
LCM of 866,243,231 is 16203726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 269,349,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 269,349,532 . The biggest common factor number is the GCF number.
So the greatest common factor 269,349,532 is 1.
Lets's calculate LCM of 866,243,231
3 | 866, 243, 231 |
866, 81, 77 |
∴ So the LCM of the given numbers is 3 x 866 x 81 x 77 = 16203726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16203726
Therefore, the GCF of Fractions 269/866,349/243,532/231 is 1/16203726
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 866,243,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,243,231) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(866,243,231) x common factors =1 x 3 = 3
LCM(866,243,231) = ( 866 × 243 × 231 ) / 3
LCM(866,243,231) = 48611178 / 3
LCM(866,243,231) = 16203726
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 269/866, 349/243, 532/231?
Answer: GCF of Numerators as per given numbers 269/866, 349/243, 532/231 is
GCF of Numerators i.e. for 269,349,532 is 1
LCM of denominators i.e. for 866,243,231 is 16203726.
Thus, GCF of Fractions is 1/16203726.Finally, GCF of Fractions for 269/866, 349/243, 532/231 is 1/16203726.