GCF of 4183/412, 4160/5636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4183/412, 4160/5636 i.e 1/580508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4183/412, 4160/5636.
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 4183/412,4160/5636?
Given fractions are 4183/412,4160/5636
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 4183/412,4160/5636, numerators are 4183,4160
Denominators are 412,5636
The GCF of 4183,4160 is 1 .
LCM of 412,5636 is 580508.
The greatest common factor of 4183/412,4160/5636 = [GCF of 4183,4160]/[LCM of 412,5636]= 1/580508
Therefore, the GCF of 4183/412,4160/5636 is 1/580508.
To find the highest common factor of 4183,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 4183 are 1, 47, 89, 4183
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 4183,4160 is 1.
Lets's calculate GCF of 4183,4160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4183,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 4183
:1,47,89,4183
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 4183,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 4183,4160 is 1.
Lets's calculate LCM of 412,5636
| 2 | 412, 5636 |
| 2 | 206, 2818 |
| 103, 1409 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 1409 = 580508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/580508
Therefore, the GCF of Fractions 4183/412,4160/5636 is 1/580508
Least Common Multiple of 412,5636 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 412,5636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,5636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,5636) x common factors =4 x 1 = 4
LCM(412,5636) = ( 412 × 5636 ) / 4
LCM(412,5636) = 2322032 / 4
LCM(412,5636) = 580508
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FAQs on GCF of Fractions of 4183/412, 4160/5636
1. What is the HCF of 4183,4160?
The HCF of 4183,4160 is 1
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 4183/412, 4160/5636?
Answer: GCF of Numerators as per given numbers 4183/412, 4160/5636 is
GCF of Numerators i.e. for 4183,4160 is 1
LCM of denominators i.e. for 412,5636 is 580508.
Thus, GCF of Fractions is 1/580508.Finally, GCF of Fractions for 4183/412, 4160/5636 is 1/580508.