Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/382,814/231,315/527
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 14,814,315
Greatest Common Factor of Numerators i.e. GCF of 14,814,315 is 1 .
LCM of Denominators means LCM of 382,231,527 as per the given fractions.
LCM of 382,231,527 is 46503534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,814,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 14,814,315 . The biggest common factor number is the GCF number.
So the greatest common factor 14,814,315 is 1.
Lets's calculate LCM of 382,231,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 46503534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46503534
Therefore, the GCF of Fractions 14/382,814/231,315/527 is 1/46503534
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 382,231,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,231,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,231,527) x common factors =1 x 1 = 1
LCM(382,231,527) = ( 382 × 231 × 527 ) / 1
LCM(382,231,527) = 46503534 / 1
LCM(382,231,527) = 46503534
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 14/382, 814/231, 315/527?
Answer: GCF of Numerators as per given numbers 14/382, 814/231, 315/527 is
GCF of Numerators i.e. for 14,814,315 is 1
LCM of denominators i.e. for 382,231,527 is 46503534.
Thus, GCF of Fractions is 1/46503534.Finally, GCF of Fractions for 14/382, 814/231, 315/527 is 1/46503534.