GCF of 3483/238, 3114/868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3483/238, 3114/868 i.e 9/14756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3483/238, 3114/868.
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 3483/238,3114/868?
Given fractions are 3483/238,3114/868
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 3483/238,3114/868, numerators are 3483,3114
Denominators are 238,868
The GCF of 3483,3114 is 9 .
LCM of 238,868 is 14756.
The greatest common factor of 3483/238,3114/868 = [GCF of 3483,3114]/[LCM of 238,868]= 9/14756
Therefore, the GCF of 3483/238,3114/868 is 9/14756.
To find the highest common factor of 3483,3114, we have to find the factors of both numbers and list the highest common factor.
The factors of 3483 are 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483
The factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114
The HCF of 3483,3114 is 9.
Lets's calculate GCF of 3483,3114
| 3 | 3483, 3114 |
| 3 | 1161, 1038 |
| 387, 346 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3483,3114 By Matching Biggest Common Factor Method
Now, list down the factors of 3483
:1,3,9,27,43,81,129,387,1161,3483
Now, list down the factors of 3114
:1,2,3,6,9,18,173,346,519,1038,1557,3114
Greatest Common Factor
We found the factors 3483,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 3483,3114 is 9.
Lets's calculate LCM of 238,868
| 2 | 238, 868 |
| 7 | 119, 434 |
| 17, 62 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 62 = 14756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/14756
Therefore, the GCF of Fractions 3483/238,3114/868 is 9/14756
Least Common Multiple of 238,868 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 238,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,868) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(238,868) x common factors =14 x 1 = 14
LCM(238,868) = ( 238 × 868 ) / 14
LCM(238,868) = 206584 / 14
LCM(238,868) = 14756
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3483/238, 3114/868
1. What is the HCF of 3483,3114?
The HCF of 3483,3114 is 9
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 3483/238, 3114/868?
Answer: GCF of Numerators as per given numbers 3483/238, 3114/868 is
GCF of Numerators i.e. for 3483,3114 is 9
LCM of denominators i.e. for 238,868 is 14756.
Thus, GCF of Fractions is 9/14756.Finally, GCF of Fractions for 3483/238, 3114/868 is 9/14756.