GCF of 2508/231, 6457/3828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2508/231, 6457/3828 i.e 11/26796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2508/231, 6457/3828.
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 2508/231,6457/3828?
Given fractions are 2508/231,6457/3828
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 2508/231,6457/3828, numerators are 2508,6457
Denominators are 231,3828
The GCF of 2508,6457 is 11 .
LCM of 231,3828 is 26796.
The greatest common factor of 2508/231,6457/3828 = [GCF of 2508,6457]/[LCM of 231,3828]= 11/26796
Therefore, the GCF of 2508/231,6457/3828 is 11/26796.
To find the highest common factor of 2508,6457, we have to find the factors of both numbers and list the highest common factor.
The factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508
The factors of 6457 are 1, 11, 587, 6457
The HCF of 2508,6457 is 11.
Lets's calculate GCF of 2508,6457
| 11 | 2508, 6457 |
| 228, 587 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2508,6457 By Matching Biggest Common Factor Method
Now, list down the factors of 2508
:1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508
Now, list down the factors of 6457
:1,11,587,6457
Greatest Common Factor
We found the factors 2508,6457 . The biggest common factor number is the GCF number.
So the greatest common factor 2508,6457 is 11.
Lets's calculate LCM of 231,3828
| 3 | 231, 3828 |
| 11 | 77, 1276 |
| 7, 116 |
∴ So the LCM of the given numbers is 3 x 11 x 7 x 116 = 26796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/26796
Therefore, the GCF of Fractions 2508/231,6457/3828 is 11/26796
Least Common Multiple of 231,3828 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 231,3828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,3828) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(231,3828) x common factors =33 x 1 = 33
LCM(231,3828) = ( 231 × 3828 ) / 33
LCM(231,3828) = 884268 / 33
LCM(231,3828) = 26796
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2508/231, 6457/3828
1. What is the HCF of 2508,6457?
The HCF of 2508,6457 is 11
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 2508/231, 6457/3828?
Answer: GCF of Numerators as per given numbers 2508/231, 6457/3828 is
GCF of Numerators i.e. for 2508,6457 is 11
LCM of denominators i.e. for 231,3828 is 26796.
Thus, GCF of Fractions is 11/26796.Finally, GCF of Fractions for 2508/231, 6457/3828 is 11/26796.