Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3588/198,7254/1133
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 3588,7254
Greatest Common Factor of Numerators i.e. GCF of 3588,7254 is 78 .
LCM of Denominators means LCM of 198,1133 as per the given fractions.
LCM of 198,1133 is 20394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3588,7254
2 | 3588, 7254 |
3 | 1794, 3627 |
13 | 598, 1209 |
46, 93 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Factors of 3588
List of positive integer factors of 3588 that divides 3588 without a remainder.
1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Factors of 7254
List of positive integer factors of 7254 that divides 7254 without a remainder.
1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Greatest Common Factor
We found the factors 3588,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 3588,7254 is 78.
Lets's calculate LCM of 198,1133
11 | 198, 1133 |
18, 103 |
∴ So the LCM of the given numbers is 11 x 18 x 103 = 20394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/20394
Therefore, the GCF of Fractions 3588/198,7254/1133 is 78/20394
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 198,1133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,1133) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(198,1133) x common factors =11 x 1 = 11
LCM(198,1133) = ( 198 × 1133 ) / 11
LCM(198,1133) = 224334 / 11
LCM(198,1133) = 20394
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 3588/198, 7254/1133?
Answer: GCF of Numerators as per given numbers 3588/198, 7254/1133 is
GCF of Numerators i.e. for 3588,7254 is 78
LCM of denominators i.e. for 198,1133 is 20394.
Thus, GCF of Fractions is 78/20394.Finally, GCF of Fractions for 3588/198, 7254/1133 is 78/20394.