GCF of 6016/183, 1128/7578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6016/183, 1128/7578 i.e 376/462258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6016/183, 1128/7578.
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 6016/183,1128/7578?
Given fractions are 6016/183,1128/7578
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 6016/183,1128/7578, numerators are 6016,1128
Denominators are 183,7578
The GCF of 6016,1128 is 376 .
LCM of 183,7578 is 462258.
The greatest common factor of 6016/183,1128/7578 = [GCF of 6016,1128]/[LCM of 183,7578]= 376/462258
Therefore, the GCF of 6016/183,1128/7578 is 376/462258.
To find the highest common factor of 6016,1128, we have to find the factors of both numbers and list the highest common factor.
The factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The HCF of 6016,1128 is 376.
Lets's calculate GCF of 6016,1128
| 2 | 6016, 1128 |
| 2 | 3008, 564 |
| 2 | 1504, 282 |
| 47 | 752, 141 |
| 16, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 47 = 376
Greatest Common Factor of 6016,1128 By Matching Biggest Common Factor Method
Now, list down the factors of 6016
:1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Greatest Common Factor
We found the factors 6016,1128 . The biggest common factor number is the GCF number.
So the greatest common factor 6016,1128 is 376.
Lets's calculate LCM of 183,7578
| 3 | 183, 7578 |
| 61, 2526 |
∴ So the LCM of the given numbers is 3 x 61 x 2526 = 462258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 376/462258
Therefore, the GCF of Fractions 6016/183,1128/7578 is 376/462258
Least Common Multiple of 183,7578 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 183,7578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,7578) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,7578) x common factors =3 x 1 = 3
LCM(183,7578) = ( 183 × 7578 ) / 3
LCM(183,7578) = 1386774 / 3
LCM(183,7578) = 462258
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6016/183, 1128/7578
1. What is the HCF of 6016,1128?
The HCF of 6016,1128 is 376
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 6016/183, 1128/7578?
Answer: GCF of Numerators as per given numbers 6016/183, 1128/7578 is
GCF of Numerators i.e. for 6016,1128 is 376
LCM of denominators i.e. for 183,7578 is 462258.
Thus, GCF of Fractions is 376/462258.Finally, GCF of Fractions for 6016/183, 1128/7578 is 376/462258.