Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 723/223,308/354,363/169
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 723,308,363
Greatest Common Factor of Numerators i.e. GCF of 723,308,363 is 1 .
LCM of Denominators means LCM of 223,354,169 as per the given fractions.
LCM of 223,354,169 is 13341198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 723,308,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
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 723,308,363 . The biggest common factor number is the GCF number.
So the greatest common factor 723,308,363 is 1.
Lets's calculate LCM of 223,354,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 13341198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13341198
Therefore, the GCF of Fractions 723/223,308/354,363/169 is 1/13341198
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 223,354,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,354,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,354,169) x common factors =1 x 1 = 1
LCM(223,354,169) = ( 223 × 354 × 169 ) / 1
LCM(223,354,169) = 13341198 / 1
LCM(223,354,169) = 13341198
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 723/223, 308/354, 363/169?
Answer: GCF of Numerators as per given numbers 723/223, 308/354, 363/169 is
GCF of Numerators i.e. for 723,308,363 is 1
LCM of denominators i.e. for 223,354,169 is 13341198.
Thus, GCF of Fractions is 1/13341198.Finally, GCF of Fractions for 723/223, 308/354, 363/169 is 1/13341198.