GCF of 4692/378, 3729/2035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4692/378, 3729/2035 i.e 3/769230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4692/378, 3729/2035.
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 4692/378,3729/2035?
Given fractions are 4692/378,3729/2035
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 4692/378,3729/2035, numerators are 4692,3729
Denominators are 378,2035
The GCF of 4692,3729 is 3 .
LCM of 378,2035 is 769230.
The greatest common factor of 4692/378,3729/2035 = [GCF of 4692,3729]/[LCM of 378,2035]= 3/769230
Therefore, the GCF of 4692/378,3729/2035 is 3/769230.
To find the highest common factor of 4692,3729, we have to find the factors of both numbers and list the highest common factor.
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729
The HCF of 4692,3729 is 3.
Lets's calculate GCF of 4692,3729
| 3 | 4692, 3729 |
| 1564, 1243 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4692,3729 By Matching Biggest Common Factor Method
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Now, list down the factors of 3729
:1,3,11,33,113,339,1243,3729
Greatest Common Factor
We found the factors 4692,3729 . The biggest common factor number is the GCF number.
So the greatest common factor 4692,3729 is 3.
Lets's calculate LCM of 378,2035
Given numbers has no common factors except 1. So, there LCM is their product i.e 769230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/769230
Therefore, the GCF of Fractions 4692/378,3729/2035 is 3/769230
Least Common Multiple of 378,2035 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 378,2035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,2035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,2035) x common factors =1 x 1 = 1
LCM(378,2035) = ( 378 × 2035 ) / 1
LCM(378,2035) = 769230 / 1
LCM(378,2035) = 769230
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FAQs on GCF of Fractions of 4692/378, 3729/2035
1. What is the HCF of 4692,3729?
The HCF of 4692,3729 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 4692/378, 3729/2035?
Answer: GCF of Numerators as per given numbers 4692/378, 3729/2035 is
GCF of Numerators i.e. for 4692,3729 is 3
LCM of denominators i.e. for 378,2035 is 769230.
Thus, GCF of Fractions is 3/769230.Finally, GCF of Fractions for 4692/378, 3729/2035 is 3/769230.