GCF of 3783/479, 1164/5639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3783/479, 1164/5639 i.e 291/2701081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3783/479, 1164/5639.
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 3783/479,1164/5639?
Given fractions are 3783/479,1164/5639
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 3783/479,1164/5639, numerators are 3783,1164
Denominators are 479,5639
The GCF of 3783,1164 is 291 .
LCM of 479,5639 is 2701081.
The greatest common factor of 3783/479,1164/5639 = [GCF of 3783,1164]/[LCM of 479,5639]= 291/2701081
Therefore, the GCF of 3783/479,1164/5639 is 291/2701081.
To find the highest common factor of 3783,1164, we have to find the factors of both numbers and list the highest common factor.
The factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783
The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
The HCF of 3783,1164 is 291.
Lets's calculate GCF of 3783,1164
| 3 | 3783, 1164 |
| 97 | 1261, 388 |
| 13, 4 |
∴ So the GCF of the given numbers is 3 x 97 = 291
Greatest Common Factor of 3783,1164 By Matching Biggest Common Factor Method
Now, list down the factors of 3783
:1,3,13,39,97,291,1261,3783
Now, list down the factors of 1164
:1,2,3,4,6,12,97,194,291,388,582,1164
Greatest Common Factor
We found the factors 3783,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 3783,1164 is 291.
Lets's calculate LCM of 479,5639
Given numbers has no common factors except 1. So, there LCM is their product i.e 2701081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 291/2701081
Therefore, the GCF of Fractions 3783/479,1164/5639 is 291/2701081
Least Common Multiple of 479,5639 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 479,5639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,5639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,5639) x common factors =1 x 1 = 1
LCM(479,5639) = ( 479 × 5639 ) / 1
LCM(479,5639) = 2701081 / 1
LCM(479,5639) = 2701081
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FAQs on GCF of Fractions of 3783/479, 1164/5639
1. What is the HCF of 3783,1164?
The HCF of 3783,1164 is 291
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 3783/479, 1164/5639?
Answer: GCF of Numerators as per given numbers 3783/479, 1164/5639 is
GCF of Numerators i.e. for 3783,1164 is 291
LCM of denominators i.e. for 479,5639 is 2701081.
Thus, GCF of Fractions is 291/2701081.Finally, GCF of Fractions for 3783/479, 1164/5639 is 291/2701081.