Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/373,42/978,122/893
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 24,42,122
Greatest Common Factor of Numerators i.e. GCF of 24,42,122 is 2 .
LCM of Denominators means LCM of 373,978,893 as per the given fractions.
LCM of 373,978,893 is 325761042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,42,122
2 | 24, 42, 122 |
12, 21, 61 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 24,42,122 . The biggest common factor number is the GCF number.
So the greatest common factor 24,42,122 is 2.
Lets's calculate LCM of 373,978,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 325761042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/325761042
Therefore, the GCF of Fractions 24/373,42/978,122/893 is 2/325761042
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 373,978,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,978,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,978,893) x common factors =1 x 1 = 1
LCM(373,978,893) = ( 373 × 978 × 893 ) / 1
LCM(373,978,893) = 325761042 / 1
LCM(373,978,893) = 325761042
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 24/373, 42/978, 122/893?
Answer: GCF of Numerators as per given numbers 24/373, 42/978, 122/893 is
GCF of Numerators i.e. for 24,42,122 is 2
LCM of denominators i.e. for 373,978,893 is 325761042.
Thus, GCF of Fractions is 2/325761042.Finally, GCF of Fractions for 24/373, 42/978, 122/893 is 2/325761042.