Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2592/438,8200/3088
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 2592,8200
Greatest Common Factor of Numerators i.e. GCF of 2592,8200 is 8 .
LCM of Denominators means LCM of 438,3088 as per the given fractions.
LCM of 438,3088 is 676272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2592,8200
2 | 2592, 8200 |
2 | 1296, 4100 |
2 | 648, 2050 |
324, 1025 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 2592
List of positive integer factors of 2592 that divides 2592 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592
Factors of 8200
List of positive integer factors of 8200 that divides 8200 without a remainder.
1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200
Greatest Common Factor
We found the factors 2592,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 2592,8200 is 8.
Lets's calculate LCM of 438,3088
2 | 438, 3088 |
219, 1544 |
∴ So the LCM of the given numbers is 2 x 219 x 1544 = 676272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/676272
Therefore, the GCF of Fractions 2592/438,8200/3088 is 8/676272
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 438,3088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,3088) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,3088) x common factors =2 x 1 = 2
LCM(438,3088) = ( 438 × 3088 ) / 2
LCM(438,3088) = 1352544 / 2
LCM(438,3088) = 676272
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 2592/438, 8200/3088?
Answer: GCF of Numerators as per given numbers 2592/438, 8200/3088 is
GCF of Numerators i.e. for 2592,8200 is 8
LCM of denominators i.e. for 438,3088 is 676272.
Thus, GCF of Fractions is 8/676272.Finally, GCF of Fractions for 2592/438, 8200/3088 is 8/676272.