Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 263/13,711/74,329/297
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 263,711,329
Greatest Common Factor of Numerators i.e. GCF of 263,711,329 is 1 .
LCM of Denominators means LCM of 13,74,297 as per the given fractions.
LCM of 13,74,297 is 285714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 263,711,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Greatest Common Factor
We found the factors 263,711,329 . The biggest common factor number is the GCF number.
So the greatest common factor 263,711,329 is 1.
Lets's calculate LCM of 13,74,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 285714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285714
Therefore, the GCF of Fractions 263/13,711/74,329/297 is 1/285714
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 13,74,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,74,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,74,297) x common factors =1 x 1 = 1
LCM(13,74,297) = ( 13 × 74 × 297 ) / 1
LCM(13,74,297) = 285714 / 1
LCM(13,74,297) = 285714
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 263/13, 711/74, 329/297?
Answer: GCF of Numerators as per given numbers 263/13, 711/74, 329/297 is
GCF of Numerators i.e. for 263,711,329 is 1
LCM of denominators i.e. for 13,74,297 is 285714.
Thus, GCF of Fractions is 1/285714.Finally, GCF of Fractions for 263/13, 711/74, 329/297 is 1/285714.