Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/24,87/50,64/72,96/210
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 71,87,64,96
Greatest Common Factor of Numerators i.e. GCF of 71,87,64,96 is 1 .
LCM of Denominators means LCM of 24,50,72,210 as per the given fractions.
LCM of 24,50,72,210 is 12600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,87,64,96
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Greatest Common Factor
We found the factors 71,87,64,96 . The biggest common factor number is the GCF number.
So the greatest common factor 71,87,64,96 is 1.
Lets's calculate LCM of 24,50,72,210
2 | 24, 50, 72, 210 |
2 | 12, 25, 36, 105 |
2 | 6, 25, 18, 105 |
3 | 3, 25, 9, 105 |
5 | 1, 25, 3, 35 |
1, 5, 3, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 5 x 3 x 7 = 12600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12600
Therefore, the GCF of Fractions 71/24,87/50,64/72,96/210 is 1/12600
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 24,50,72,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,50,72,210) = 2
common factors(in case of two or more numbers have common factors) = 720
GCF(24,50,72,210) x common factors =2 x 720 = 1440
LCM(24,50,72,210) = ( 24 × 50 × 72 × 210 ) / 1440
LCM(24,50,72,210) = 18144000 / 1440
LCM(24,50,72,210) = 12600
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 71/24, 87/50, 64/72, 96/210?
Answer: GCF of Numerators as per given numbers 71/24, 87/50, 64/72, 96/210 is
GCF of Numerators i.e. for 71,87,64,96 is 1
LCM of denominators i.e. for 24,50,72,210 is 12600.
Thus, GCF of Fractions is 1/12600.Finally, GCF of Fractions for 71/24, 87/50, 64/72, 96/210 is 1/12600.