GCF of 4278/270, 6882/3598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4278/270, 6882/3598 i.e 186/485730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4278/270, 6882/3598.
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 4278/270,6882/3598?
Given fractions are 4278/270,6882/3598
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 4278/270,6882/3598, numerators are 4278,6882
Denominators are 270,3598
The GCF of 4278,6882 is 186 .
LCM of 270,3598 is 485730.
The greatest common factor of 4278/270,6882/3598 = [GCF of 4278,6882]/[LCM of 270,3598]= 186/485730
Therefore, the GCF of 4278/270,6882/3598 is 186/485730.
To find the highest common factor of 4278,6882, we have to find the factors of both numbers and list the highest common factor.
The factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278
The factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
The HCF of 4278,6882 is 186.
Lets's calculate GCF of 4278,6882
| 2 | 4278, 6882 |
| 3 | 2139, 3441 |
| 31 | 713, 1147 |
| 23, 37 |
∴ So the GCF of the given numbers is 2 x 3 x 31 = 186
Greatest Common Factor of 4278,6882 By Matching Biggest Common Factor Method
Now, list down the factors of 4278
:1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Now, list down the factors of 6882
:1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Greatest Common Factor
We found the factors 4278,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 4278,6882 is 186.
Lets's calculate LCM of 270,3598
| 2 | 270, 3598 |
| 135, 1799 |
∴ So the LCM of the given numbers is 2 x 135 x 1799 = 485730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 186/485730
Therefore, the GCF of Fractions 4278/270,6882/3598 is 186/485730
Least Common Multiple of 270,3598 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 270,3598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3598) x common factors =2 x 1 = 2
LCM(270,3598) = ( 270 × 3598 ) / 2
LCM(270,3598) = 971460 / 2
LCM(270,3598) = 485730
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FAQs on GCF of Fractions of 4278/270, 6882/3598
1. What is the HCF of 4278,6882?
The HCF of 4278,6882 is 186
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 4278/270, 6882/3598?
Answer: GCF of Numerators as per given numbers 4278/270, 6882/3598 is
GCF of Numerators i.e. for 4278,6882 is 186
LCM of denominators i.e. for 270,3598 is 485730.
Thus, GCF of Fractions is 186/485730.Finally, GCF of Fractions for 4278/270, 6882/3598 is 186/485730.