Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/13,864/31,363/968
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 224,864,363
Greatest Common Factor of Numerators i.e. GCF of 224,864,363 is 1 .
LCM of Denominators means LCM of 13,31,968 as per the given fractions.
LCM of 13,31,968 is 390104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 224,864,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 224,864,363 . The biggest common factor number is the GCF number.
So the greatest common factor 224,864,363 is 1.
Lets's calculate LCM of 13,31,968
Given numbers has no common factors except 1. So, there LCM is their product i.e 390104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390104
Therefore, the GCF of Fractions 224/13,864/31,363/968 is 1/390104
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 13,31,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,31,968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,31,968) x common factors =1 x 1 = 1
LCM(13,31,968) = ( 13 × 31 × 968 ) / 1
LCM(13,31,968) = 390104 / 1
LCM(13,31,968) = 390104
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 224/13, 864/31, 363/968?
Answer: GCF of Numerators as per given numbers 224/13, 864/31, 363/968 is
GCF of Numerators i.e. for 224,864,363 is 1
LCM of denominators i.e. for 13,31,968 is 390104.
Thus, GCF of Fractions is 1/390104.Finally, GCF of Fractions for 224/13, 864/31, 363/968 is 1/390104.