Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4151/24,2579/122
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 4151,2579
Greatest Common Factor of Numerators i.e. GCF of 4151,2579 is 1 .
LCM of Denominators means LCM of 24,122 as per the given fractions.
LCM of 24,122 is 1464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4151,2579
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4151
List of positive integer factors of 4151 that divides 4151 without a remainder.
1,7,593,4151
Factors of 2579
List of positive integer factors of 2579 that divides 2579 without a remainder.
1,2579
Greatest Common Factor
We found the factors 4151,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 4151,2579 is 1.
Lets's calculate LCM of 24,122
2 | 24, 122 |
12, 61 |
∴ So the LCM of the given numbers is 2 x 12 x 61 = 1464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1464
Therefore, the GCF of Fractions 4151/24,2579/122 is 1/1464
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 24,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,122) x common factors =2 x 1 = 2
LCM(24,122) = ( 24 × 122 ) / 2
LCM(24,122) = 2928 / 2
LCM(24,122) = 1464
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 4151/24, 2579/122?
Answer: GCF of Numerators as per given numbers 4151/24, 2579/122 is
GCF of Numerators i.e. for 4151,2579 is 1
LCM of denominators i.e. for 24,122 is 1464.
Thus, GCF of Fractions is 1/1464.Finally, GCF of Fractions for 4151/24, 2579/122 is 1/1464.