Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4530/56,8088/184
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 4530,8088
Greatest Common Factor of Numerators i.e. GCF of 4530,8088 is 6 .
LCM of Denominators means LCM of 56,184 as per the given fractions.
LCM of 56,184 is 1288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4530,8088
2 | 4530, 8088 |
3 | 2265, 4044 |
755, 1348 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4530
List of positive integer factors of 4530 that divides 4530 without a remainder.
1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530
Factors of 8088
List of positive integer factors of 8088 that divides 8088 without a remainder.
1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors 4530,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 4530,8088 is 6.
Lets's calculate LCM of 56,184
2 | 56, 184 |
2 | 28, 92 |
2 | 14, 46 |
7, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 23 = 1288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1288
Therefore, the GCF of Fractions 4530/56,8088/184 is 6/1288
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 56,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,184) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,184) x common factors =8 x 1 = 8
LCM(56,184) = ( 56 × 184 ) / 8
LCM(56,184) = 10304 / 8
LCM(56,184) = 1288
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 4530/56, 8088/184?
Answer: GCF of Numerators as per given numbers 4530/56, 8088/184 is
GCF of Numerators i.e. for 4530,8088 is 6
LCM of denominators i.e. for 56,184 is 1288.
Thus, GCF of Fractions is 6/1288.Finally, GCF of Fractions for 4530/56, 8088/184 is 6/1288.