Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/60,31/40,54/14,465/93
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 96,31,54,465
Greatest Common Factor of Numerators i.e. GCF of 96,31,54,465 is 1 .
LCM of Denominators means LCM of 60,40,14,93 as per the given fractions.
LCM of 60,40,14,93 is 26040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,31,54,465
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 96,31,54,465 . The biggest common factor number is the GCF number.
So the greatest common factor 96,31,54,465 is 1.
Lets's calculate LCM of 60,40,14,93
2 | 60, 40, 14, 93 |
2 | 30, 20, 7, 93 |
3 | 15, 10, 7, 93 |
5 | 5, 10, 7, 31 |
1, 2, 7, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 2 x 7 x 31 = 26040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26040
Therefore, the GCF of Fractions 96/60,31/40,54/14,465/93 is 1/26040
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 60,40,14,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,40,14,93) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(60,40,14,93) x common factors =1 x 120 = 120
LCM(60,40,14,93) = ( 60 × 40 × 14 × 93 ) / 120
LCM(60,40,14,93) = 3124800 / 120
LCM(60,40,14,93) = 26040
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 96/60, 31/40, 54/14, 465/93?
Answer: GCF of Numerators as per given numbers 96/60, 31/40, 54/14, 465/93 is
GCF of Numerators i.e. for 96,31,54,465 is 1
LCM of denominators i.e. for 60,40,14,93 is 26040.
Thus, GCF of Fractions is 1/26040.Finally, GCF of Fractions for 96/60, 31/40, 54/14, 465/93 is 1/26040.