Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/686,109/296,267/319
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 23,109,267
Greatest Common Factor of Numerators i.e. GCF of 23,109,267 is 1 .
LCM of Denominators means LCM of 686,296,319 as per the given fractions.
LCM of 686,296,319 is 32387432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,109,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 23,109,267 . The biggest common factor number is the GCF number.
So the greatest common factor 23,109,267 is 1.
Lets's calculate LCM of 686,296,319
2 | 686, 296, 319 |
343, 148, 319 |
∴ So the LCM of the given numbers is 2 x 343 x 148 x 319 = 32387432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32387432
Therefore, the GCF of Fractions 23/686,109/296,267/319 is 1/32387432
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 686,296,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,296,319) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(686,296,319) x common factors =1 x 2 = 2
LCM(686,296,319) = ( 686 × 296 × 319 ) / 2
LCM(686,296,319) = 64774864 / 2
LCM(686,296,319) = 32387432
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 23/686, 109/296, 267/319?
Answer: GCF of Numerators as per given numbers 23/686, 109/296, 267/319 is
GCF of Numerators i.e. for 23,109,267 is 1
LCM of denominators i.e. for 686,296,319 is 32387432.
Thus, GCF of Fractions is 1/32387432.Finally, GCF of Fractions for 23/686, 109/296, 267/319 is 1/32387432.