Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/94,11/24,20/25,379/60
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 29,11,20,379
Greatest Common Factor of Numerators i.e. GCF of 29,11,20,379 is 1 .
LCM of Denominators means LCM of 94,24,25,60 as per the given fractions.
LCM of 94,24,25,60 is 28200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,11,20,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 29,11,20,379 . The biggest common factor number is the GCF number.
So the greatest common factor 29,11,20,379 is 1.
Lets's calculate LCM of 94,24,25,60
2 | 94, 24, 25, 60 |
2 | 47, 12, 25, 30 |
3 | 47, 6, 25, 15 |
5 | 47, 2, 25, 5 |
47, 2, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 47 x 2 x 1 x 5 = 28200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28200
Therefore, the GCF of Fractions 29/94,11/24,20/25,379/60 is 1/28200
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 94,24,25,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,24,25,60) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(94,24,25,60) x common factors =1 x 120 = 120
LCM(94,24,25,60) = ( 94 × 24 × 25 × 60 ) / 120
LCM(94,24,25,60) = 3384000 / 120
LCM(94,24,25,60) = 28200
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 29/94, 11/24, 20/25, 379/60?
Answer: GCF of Numerators as per given numbers 29/94, 11/24, 20/25, 379/60 is
GCF of Numerators i.e. for 29,11,20,379 is 1
LCM of denominators i.e. for 94,24,25,60 is 28200.
Thus, GCF of Fractions is 1/28200.Finally, GCF of Fractions for 29/94, 11/24, 20/25, 379/60 is 1/28200.