GCF of 2388/352, 6156/2274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2388/352, 6156/2274 i.e 12/400224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2388/352, 6156/2274.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2388/352,6156/2274?
Given fractions are 2388/352,6156/2274
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2388/352,6156/2274, numerators are 2388,6156
Denominators are 352,2274
The GCF of 2388,6156 is 12 .
LCM of 352,2274 is 400224.
The greatest common factor of 2388/352,6156/2274 = [GCF of 2388,6156]/[LCM of 352,2274]= 12/400224
Therefore, the GCF of 2388/352,6156/2274 is 12/400224.
To find the highest common factor of 2388,6156, we have to find the factors of both numbers and list the highest common factor.
The factors of 2388 are 1, 2, 3, 4, 6, 12, 199, 398, 597, 796, 1194, 2388
The factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156
The HCF of 2388,6156 is 12.
Lets's calculate GCF of 2388,6156
| 2 | 2388, 6156 |
| 2 | 1194, 3078 |
| 3 | 597, 1539 |
| 199, 513 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2388,6156 By Matching Biggest Common Factor Method
Now, list down the factors of 2388
:1,2,3,4,6,12,199,398,597,796,1194,2388
Now, list down the factors of 6156
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156
Greatest Common Factor
We found the factors 2388,6156 . The biggest common factor number is the GCF number.
So the greatest common factor 2388,6156 is 12.
Lets's calculate LCM of 352,2274
| 2 | 352, 2274 |
| 176, 1137 |
∴ So the LCM of the given numbers is 2 x 176 x 1137 = 400224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/400224
Therefore, the GCF of Fractions 2388/352,6156/2274 is 12/400224
Least Common Multiple of 352,2274 with GCF Formula
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 352,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,2274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(352,2274) x common factors =2 x 1 = 2
LCM(352,2274) = ( 352 × 2274 ) / 2
LCM(352,2274) = 800448 / 2
LCM(352,2274) = 400224
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2388/352, 6156/2274
1. What is the HCF of 2388,6156?
The HCF of 2388,6156 is 12
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2388/352, 6156/2274?
Answer: GCF of Numerators as per given numbers 2388/352, 6156/2274 is
GCF of Numerators i.e. for 2388,6156 is 12
LCM of denominators i.e. for 352,2274 is 400224.
Thus, GCF of Fractions is 12/400224.Finally, GCF of Fractions for 2388/352, 6156/2274 is 12/400224.