GCF of 2376/728, 1194/8996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2376/728, 1194/8996 i.e 6/125944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2376/728, 1194/8996.
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 2376/728,1194/8996?
Given fractions are 2376/728,1194/8996
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 2376/728,1194/8996, numerators are 2376,1194
Denominators are 728,8996
The GCF of 2376,1194 is 6 .
LCM of 728,8996 is 125944.
The greatest common factor of 2376/728,1194/8996 = [GCF of 2376,1194]/[LCM of 728,8996]= 6/125944
Therefore, the GCF of 2376/728,1194/8996 is 6/125944.
To find the highest common factor of 2376,1194, we have to find the factors of both numbers and list the highest common factor.
The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194
The HCF of 2376,1194 is 6.
Lets's calculate GCF of 2376,1194
| 2 | 2376, 1194 |
| 3 | 1188, 597 |
| 396, 199 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2376,1194 By Matching Biggest Common Factor Method
Now, list down the factors of 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Now, list down the factors of 1194
:1,2,3,6,199,398,597,1194
Greatest Common Factor
We found the factors 2376,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 2376,1194 is 6.
Lets's calculate LCM of 728,8996
| 2 | 728, 8996 |
| 2 | 364, 4498 |
| 13 | 182, 2249 |
| 14, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 14 x 173 = 125944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/125944
Therefore, the GCF of Fractions 2376/728,1194/8996 is 6/125944
Least Common Multiple of 728,8996 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 728,8996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,8996) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(728,8996) x common factors =52 x 1 = 52
LCM(728,8996) = ( 728 × 8996 ) / 52
LCM(728,8996) = 6549088 / 52
LCM(728,8996) = 125944
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FAQs on GCF of Fractions of 2376/728, 1194/8996
1. What is the HCF of 2376,1194?
The HCF of 2376,1194 is 6
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 2376/728, 1194/8996?
Answer: GCF of Numerators as per given numbers 2376/728, 1194/8996 is
GCF of Numerators i.e. for 2376,1194 is 6
LCM of denominators i.e. for 728,8996 is 125944.
Thus, GCF of Fractions is 6/125944.Finally, GCF of Fractions for 2376/728, 1194/8996 is 6/125944.