GCF of 326/456, 4566/2812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 326/456, 4566/2812 i.e 2/16872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/456, 4566/2812.
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 326/456,4566/2812?
Given fractions are 326/456,4566/2812
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 326/456,4566/2812, numerators are 326,4566
Denominators are 456,2812
The GCF of 326,4566 is 2 .
LCM of 456,2812 is 16872.
The greatest common factor of 326/456,4566/2812 = [GCF of 326,4566]/[LCM of 456,2812]= 2/16872
Therefore, the GCF of 326/456,4566/2812 is 2/16872.
To find the highest common factor of 326,4566, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The HCF of 326,4566 is 2.
Lets's calculate GCF of 326,4566
| 2 | 326, 4566 |
| 163, 2283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 326,4566 By Matching Biggest Common Factor Method
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 326,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 326,4566 is 2.
Lets's calculate LCM of 456,2812
| 2 | 456, 2812 |
| 2 | 228, 1406 |
| 19 | 114, 703 |
| 6, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 6 x 37 = 16872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16872
Therefore, the GCF of Fractions 326/456,4566/2812 is 2/16872
Least Common Multiple of 456,2812 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 456,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,2812) = 76
common factors(in case of two or more numbers have common factors) = 1
GCF(456,2812) x common factors =76 x 1 = 76
LCM(456,2812) = ( 456 × 2812 ) / 76
LCM(456,2812) = 1282272 / 76
LCM(456,2812) = 16872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 326/456, 4566/2812
1. What is the HCF of 326,4566?
The HCF of 326,4566 is 2
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 326/456, 4566/2812?
Answer: GCF of Numerators as per given numbers 326/456, 4566/2812 is
GCF of Numerators i.e. for 326,4566 is 2
LCM of denominators i.e. for 456,2812 is 16872.
Thus, GCF of Fractions is 2/16872.Finally, GCF of Fractions for 326/456, 4566/2812 is 2/16872.