GCF of 4767/487, 4194/9149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4767/487, 4194/9149 i.e 3/4455563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4767/487, 4194/9149.
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 4767/487,4194/9149?
Given fractions are 4767/487,4194/9149
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 4767/487,4194/9149, numerators are 4767,4194
Denominators are 487,9149
The GCF of 4767,4194 is 3 .
LCM of 487,9149 is 4455563.
The greatest common factor of 4767/487,4194/9149 = [GCF of 4767,4194]/[LCM of 487,9149]= 3/4455563
Therefore, the GCF of 4767/487,4194/9149 is 3/4455563.
To find the highest common factor of 4767,4194, we have to find the factors of both numbers and list the highest common factor.
The factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767
The factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194
The HCF of 4767,4194 is 3.
Lets's calculate GCF of 4767,4194
| 3 | 4767, 4194 |
| 1589, 1398 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4767,4194 By Matching Biggest Common Factor Method
Now, list down the factors of 4767
:1,3,7,21,227,681,1589,4767
Now, list down the factors of 4194
:1,2,3,6,9,18,233,466,699,1398,2097,4194
Greatest Common Factor
We found the factors 4767,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 4767,4194 is 3.
Lets's calculate LCM of 487,9149
Given numbers has no common factors except 1. So, there LCM is their product i.e 4455563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4455563
Therefore, the GCF of Fractions 4767/487,4194/9149 is 3/4455563
Least Common Multiple of 487,9149 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 487,9149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,9149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,9149) x common factors =1 x 1 = 1
LCM(487,9149) = ( 487 × 9149 ) / 1
LCM(487,9149) = 4455563 / 1
LCM(487,9149) = 4455563
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FAQs on GCF of Fractions of 4767/487, 4194/9149
1. What is the HCF of 4767,4194?
The HCF of 4767,4194 is 3
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 4767/487, 4194/9149?
Answer: GCF of Numerators as per given numbers 4767/487, 4194/9149 is
GCF of Numerators i.e. for 4767,4194 is 3
LCM of denominators i.e. for 487,9149 is 4455563.
Thus, GCF of Fractions is 3/4455563.Finally, GCF of Fractions for 4767/487, 4194/9149 is 3/4455563.