GCF of 4761/421, 1194/3408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4761/421, 1194/3408 i.e 3/1434768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4761/421, 1194/3408.
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 4761/421,1194/3408?
Given fractions are 4761/421,1194/3408
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 4761/421,1194/3408, numerators are 4761,1194
Denominators are 421,3408
The GCF of 4761,1194 is 3 .
LCM of 421,3408 is 1434768.
The greatest common factor of 4761/421,1194/3408 = [GCF of 4761,1194]/[LCM of 421,3408]= 3/1434768
Therefore, the GCF of 4761/421,1194/3408 is 3/1434768.
To find the highest common factor of 4761,1194, we have to find the factors of both numbers and list the highest common factor.
The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761
The factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194
The HCF of 4761,1194 is 3.
Lets's calculate GCF of 4761,1194
| 3 | 4761, 1194 |
| 1587, 398 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4761,1194 By Matching Biggest Common Factor Method
Now, list down the factors of 4761
:1,3,9,23,69,207,529,1587,4761
Now, list down the factors of 1194
:1,2,3,6,199,398,597,1194
Greatest Common Factor
We found the factors 4761,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 4761,1194 is 3.
Lets's calculate LCM of 421,3408
Given numbers has no common factors except 1. So, there LCM is their product i.e 1434768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1434768
Therefore, the GCF of Fractions 4761/421,1194/3408 is 3/1434768
Least Common Multiple of 421,3408 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 421,3408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,3408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,3408) x common factors =1 x 1 = 1
LCM(421,3408) = ( 421 × 3408 ) / 1
LCM(421,3408) = 1434768 / 1
LCM(421,3408) = 1434768
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FAQs on GCF of Fractions of 4761/421, 1194/3408
1. What is the HCF of 4761,1194?
The HCF of 4761,1194 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 4761/421, 1194/3408?
Answer: GCF of Numerators as per given numbers 4761/421, 1194/3408 is
GCF of Numerators i.e. for 4761,1194 is 3
LCM of denominators i.e. for 421,3408 is 1434768.
Thus, GCF of Fractions is 3/1434768.Finally, GCF of Fractions for 4761/421, 1194/3408 is 3/1434768.