GCF of 4484/326, 8524/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4484/326, 8524/2782 i.e 4/453466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4484/326, 8524/2782.
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 4484/326,8524/2782?
Given fractions are 4484/326,8524/2782
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 4484/326,8524/2782, numerators are 4484,8524
Denominators are 326,2782
The GCF of 4484,8524 is 4 .
LCM of 326,2782 is 453466.
The greatest common factor of 4484/326,8524/2782 = [GCF of 4484,8524]/[LCM of 326,2782]= 4/453466
Therefore, the GCF of 4484/326,8524/2782 is 4/453466.
To find the highest common factor of 4484,8524, we have to find the factors of both numbers and list the highest common factor.
The factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484
The factors of 8524 are 1, 2, 4, 2131, 4262, 8524
The HCF of 4484,8524 is 4.
Lets's calculate GCF of 4484,8524
| 2 | 4484, 8524 |
| 2 | 2242, 4262 |
| 1121, 2131 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4484,8524 By Matching Biggest Common Factor Method
Now, list down the factors of 4484
:1,2,4,19,38,59,76,118,236,1121,2242,4484
Now, list down the factors of 8524
:1,2,4,2131,4262,8524
Greatest Common Factor
We found the factors 4484,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 4484,8524 is 4.
Lets's calculate LCM of 326,2782
| 2 | 326, 2782 |
| 163, 1391 |
∴ So the LCM of the given numbers is 2 x 163 x 1391 = 453466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/453466
Therefore, the GCF of Fractions 4484/326,8524/2782 is 4/453466
Least Common Multiple of 326,2782 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 326,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,2782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,2782) x common factors =2 x 1 = 2
LCM(326,2782) = ( 326 × 2782 ) / 2
LCM(326,2782) = 906932 / 2
LCM(326,2782) = 453466
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4484/326, 8524/2782
1. What is the HCF of 4484,8524?
The HCF of 4484,8524 is 4
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 4484/326, 8524/2782?
Answer: GCF of Numerators as per given numbers 4484/326, 8524/2782 is
GCF of Numerators i.e. for 4484,8524 is 4
LCM of denominators i.e. for 326,2782 is 453466.
Thus, GCF of Fractions is 4/453466.Finally, GCF of Fractions for 4484/326, 8524/2782 is 4/453466.