Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 215/533,168/303,352/685
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 215,168,352
Greatest Common Factor of Numerators i.e. GCF of 215,168,352 is 1 .
LCM of Denominators means LCM of 533,303,685 as per the given fractions.
LCM of 533,303,685 is 110626815 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 215,168,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 215,168,352 . The biggest common factor number is the GCF number.
So the greatest common factor 215,168,352 is 1.
Lets's calculate LCM of 533,303,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 110626815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110626815
Therefore, the GCF of Fractions 215/533,168/303,352/685 is 1/110626815
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 533,303,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,303,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,303,685) x common factors =1 x 1 = 1
LCM(533,303,685) = ( 533 × 303 × 685 ) / 1
LCM(533,303,685) = 110626815 / 1
LCM(533,303,685) = 110626815
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 215/533, 168/303, 352/685?
Answer: GCF of Numerators as per given numbers 215/533, 168/303, 352/685 is
GCF of Numerators i.e. for 215,168,352 is 1
LCM of denominators i.e. for 533,303,685 is 110626815.
Thus, GCF of Fractions is 1/110626815.Finally, GCF of Fractions for 215/533, 168/303, 352/685 is 1/110626815.