Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 223/12,222/23,129/377
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 223,222,129
Greatest Common Factor of Numerators i.e. GCF of 223,222,129 is 1 .
LCM of Denominators means LCM of 12,23,377 as per the given fractions.
LCM of 12,23,377 is 104052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 223,222,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 223,222,129 . The biggest common factor number is the GCF number.
So the greatest common factor 223,222,129 is 1.
Lets's calculate LCM of 12,23,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 104052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104052
Therefore, the GCF of Fractions 223/12,222/23,129/377 is 1/104052
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 12,23,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,23,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,23,377) x common factors =1 x 1 = 1
LCM(12,23,377) = ( 12 × 23 × 377 ) / 1
LCM(12,23,377) = 104052 / 1
LCM(12,23,377) = 104052
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 223/12, 222/23, 129/377?
Answer: GCF of Numerators as per given numbers 223/12, 222/23, 129/377 is
GCF of Numerators i.e. for 223,222,129 is 1
LCM of denominators i.e. for 12,23,377 is 104052.
Thus, GCF of Fractions is 1/104052.Finally, GCF of Fractions for 223/12, 222/23, 129/377 is 1/104052.