Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2628/524,8388/5746
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 2628,8388
Greatest Common Factor of Numerators i.e. GCF of 2628,8388 is 36 .
LCM of Denominators means LCM of 524,5746 as per the given fractions.
LCM of 524,5746 is 1505452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2628,8388
2 | 2628, 8388 |
2 | 1314, 4194 |
3 | 657, 2097 |
3 | 219, 699 |
73, 233 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 2628
List of positive integer factors of 2628 that divides 2628 without a remainder.
1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors 2628,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 2628,8388 is 36.
Lets's calculate LCM of 524,5746
2 | 524, 5746 |
262, 2873 |
∴ So the LCM of the given numbers is 2 x 262 x 2873 = 1505452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1505452
Therefore, the GCF of Fractions 2628/524,8388/5746 is 36/1505452
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 524,5746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,5746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,5746) x common factors =2 x 1 = 2
LCM(524,5746) = ( 524 × 5746 ) / 2
LCM(524,5746) = 3010904 / 2
LCM(524,5746) = 1505452
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 2628/524, 8388/5746?
Answer: GCF of Numerators as per given numbers 2628/524, 8388/5746 is
GCF of Numerators i.e. for 2628,8388 is 36
LCM of denominators i.e. for 524,5746 is 1505452.
Thus, GCF of Fractions is 36/1505452.Finally, GCF of Fractions for 2628/524, 8388/5746 is 36/1505452.