GCF of 4186/828, 1708/1799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4186/828, 1708/1799 i.e 14/1489572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4186/828, 1708/1799.
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 4186/828,1708/1799?
Given fractions are 4186/828,1708/1799
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 4186/828,1708/1799, numerators are 4186,1708
Denominators are 828,1799
The GCF of 4186,1708 is 14 .
LCM of 828,1799 is 1489572.
The greatest common factor of 4186/828,1708/1799 = [GCF of 4186,1708]/[LCM of 828,1799]= 14/1489572
Therefore, the GCF of 4186/828,1708/1799 is 14/1489572.
To find the highest common factor of 4186,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 4186,1708 is 14.
Lets's calculate GCF of 4186,1708
| 2 | 4186, 1708 |
| 7 | 2093, 854 |
| 299, 122 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4186,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 4186
:1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 4186,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 4186,1708 is 14.
Lets's calculate LCM of 828,1799
Given numbers has no common factors except 1. So, there LCM is their product i.e 1489572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1489572
Therefore, the GCF of Fractions 4186/828,1708/1799 is 14/1489572
Least Common Multiple of 828,1799 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 828,1799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,1799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,1799) x common factors =1 x 1 = 1
LCM(828,1799) = ( 828 × 1799 ) / 1
LCM(828,1799) = 1489572 / 1
LCM(828,1799) = 1489572
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FAQs on GCF of Fractions of 4186/828, 1708/1799
1. What is the HCF of 4186,1708?
The HCF of 4186,1708 is 14
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 4186/828, 1708/1799?
Answer: GCF of Numerators as per given numbers 4186/828, 1708/1799 is
GCF of Numerators i.e. for 4186,1708 is 14
LCM of denominators i.e. for 828,1799 is 1489572.
Thus, GCF of Fractions is 14/1489572.Finally, GCF of Fractions for 4186/828, 1708/1799 is 14/1489572.