GCF of 3836/419, 5680/5458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3836/419, 5680/5458 i.e 4/2286902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3836/419, 5680/5458.
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 3836/419,5680/5458?
Given fractions are 3836/419,5680/5458
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 3836/419,5680/5458, numerators are 3836,5680
Denominators are 419,5458
The GCF of 3836,5680 is 4 .
LCM of 419,5458 is 2286902.
The greatest common factor of 3836/419,5680/5458 = [GCF of 3836,5680]/[LCM of 419,5458]= 4/2286902
Therefore, the GCF of 3836/419,5680/5458 is 4/2286902.
To find the highest common factor of 3836,5680, we have to find the factors of both numbers and list the highest common factor.
The factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836
The factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680
The HCF of 3836,5680 is 4.
Lets's calculate GCF of 3836,5680
| 2 | 3836, 5680 |
| 2 | 1918, 2840 |
| 959, 1420 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3836,5680 By Matching Biggest Common Factor Method
Now, list down the factors of 3836
:1,2,4,7,14,28,137,274,548,959,1918,3836
Now, list down the factors of 5680
:1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680
Greatest Common Factor
We found the factors 3836,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 3836,5680 is 4.
Lets's calculate LCM of 419,5458
Given numbers has no common factors except 1. So, there LCM is their product i.e 2286902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2286902
Therefore, the GCF of Fractions 3836/419,5680/5458 is 4/2286902
Least Common Multiple of 419,5458 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 419,5458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,5458) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,5458) x common factors =1 x 1 = 1
LCM(419,5458) = ( 419 × 5458 ) / 1
LCM(419,5458) = 2286902 / 1
LCM(419,5458) = 2286902
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FAQs on GCF of Fractions of 3836/419, 5680/5458
1. What is the HCF of 3836,5680?
The HCF of 3836,5680 is 4
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 3836/419, 5680/5458?
Answer: GCF of Numerators as per given numbers 3836/419, 5680/5458 is
GCF of Numerators i.e. for 3836,5680 is 4
LCM of denominators i.e. for 419,5458 is 2286902.
Thus, GCF of Fractions is 4/2286902.Finally, GCF of Fractions for 3836/419, 5680/5458 is 4/2286902.