GCF of 3248/186, 4186/790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3248/186, 4186/790 i.e 14/73470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3248/186, 4186/790.
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 3248/186,4186/790?
Given fractions are 3248/186,4186/790
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 3248/186,4186/790, numerators are 3248,4186
Denominators are 186,790
The GCF of 3248,4186 is 14 .
LCM of 186,790 is 73470.
The greatest common factor of 3248/186,4186/790 = [GCF of 3248,4186]/[LCM of 186,790]= 14/73470
Therefore, the GCF of 3248/186,4186/790 is 14/73470.
To find the highest common factor of 3248,4186, we have to find the factors of both numbers and list the highest common factor.
The factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248
The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186
The HCF of 3248,4186 is 14.
Lets's calculate GCF of 3248,4186
| 2 | 3248, 4186 |
| 7 | 1624, 2093 |
| 232, 299 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3248,4186 By Matching Biggest Common Factor Method
Now, list down the factors of 3248
:1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248
Now, list down the factors of 4186
:1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Greatest Common Factor
We found the factors 3248,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 3248,4186 is 14.
Lets's calculate LCM of 186,790
| 2 | 186, 790 |
| 93, 395 |
∴ So the LCM of the given numbers is 2 x 93 x 395 = 73470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/73470
Therefore, the GCF of Fractions 3248/186,4186/790 is 14/73470
Least Common Multiple of 186,790 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 186,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,790) x common factors =2 x 1 = 2
LCM(186,790) = ( 186 × 790 ) / 2
LCM(186,790) = 146940 / 2
LCM(186,790) = 73470
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3248/186, 4186/790
1. What is the HCF of 3248,4186?
The HCF of 3248,4186 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 3248/186, 4186/790?
Answer: GCF of Numerators as per given numbers 3248/186, 4186/790 is
GCF of Numerators i.e. for 3248,4186 is 14
LCM of denominators i.e. for 186,790 is 73470.
Thus, GCF of Fractions is 14/73470.Finally, GCF of Fractions for 3248/186, 4186/790 is 14/73470.