Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/32,89/18,83/96,184/50
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 26,89,83,184
Greatest Common Factor of Numerators i.e. GCF of 26,89,83,184 is 1 .
LCM of Denominators means LCM of 32,18,96,50 as per the given fractions.
LCM of 32,18,96,50 is 7200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,89,83,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 26,89,83,184 . The biggest common factor number is the GCF number.
So the greatest common factor 26,89,83,184 is 1.
Lets's calculate LCM of 32,18,96,50
2 | 32, 18, 96, 50 |
2 | 16, 9, 48, 25 |
2 | 8, 9, 24, 25 |
2 | 4, 9, 12, 25 |
2 | 2, 9, 6, 25 |
3 | 1, 9, 3, 25 |
1, 1, 3, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 3 x 25 = 7200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7200
Therefore, the GCF of Fractions 26/32,89/18,83/96,184/50 is 1/7200
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 32,18,96,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,18,96,50) = 2
common factors(in case of two or more numbers have common factors) = 192
GCF(32,18,96,50) x common factors =2 x 192 = 384
LCM(32,18,96,50) = ( 32 × 18 × 96 × 50 ) / 384
LCM(32,18,96,50) = 2764800 / 384
LCM(32,18,96,50) = 7200
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 26/32, 89/18, 83/96, 184/50?
Answer: GCF of Numerators as per given numbers 26/32, 89/18, 83/96, 184/50 is
GCF of Numerators i.e. for 26,89,83,184 is 1
LCM of denominators i.e. for 32,18,96,50 is 7200.
Thus, GCF of Fractions is 1/7200.Finally, GCF of Fractions for 26/32, 89/18, 83/96, 184/50 is 1/7200.