GCF of 8524/513, 8562/3183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8524/513, 8562/3183 i.e 2/544293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8524/513, 8562/3183.
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 8524/513,8562/3183?
Given fractions are 8524/513,8562/3183
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 8524/513,8562/3183, numerators are 8524,8562
Denominators are 513,3183
The GCF of 8524,8562 is 2 .
LCM of 513,3183 is 544293.
The greatest common factor of 8524/513,8562/3183 = [GCF of 8524,8562]/[LCM of 513,3183]= 2/544293
Therefore, the GCF of 8524/513,8562/3183 is 2/544293.
To find the highest common factor of 8524,8562, we have to find the factors of both numbers and list the highest common factor.
The factors of 8524 are 1, 2, 4, 2131, 4262, 8524
The factors of 8562 are 1, 2, 3, 6, 1427, 2854, 4281, 8562
The HCF of 8524,8562 is 2.
Lets's calculate GCF of 8524,8562
| 2 | 8524, 8562 |
| 4262, 4281 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8524,8562 By Matching Biggest Common Factor Method
Now, list down the factors of 8524
:1,2,4,2131,4262,8524
Now, list down the factors of 8562
:1,2,3,6,1427,2854,4281,8562
Greatest Common Factor
We found the factors 8524,8562 . The biggest common factor number is the GCF number.
So the greatest common factor 8524,8562 is 2.
Lets's calculate LCM of 513,3183
| 3 | 513, 3183 |
| 171, 1061 |
∴ So the LCM of the given numbers is 3 x 171 x 1061 = 544293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/544293
Therefore, the GCF of Fractions 8524/513,8562/3183 is 2/544293
Least Common Multiple of 513,3183 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 513,3183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,3183) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,3183) x common factors =3 x 1 = 3
LCM(513,3183) = ( 513 × 3183 ) / 3
LCM(513,3183) = 1632879 / 3
LCM(513,3183) = 544293
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FAQs on GCF of Fractions of 8524/513, 8562/3183
1. What is the HCF of 8524,8562?
The HCF of 8524,8562 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 8524/513, 8562/3183?
Answer: GCF of Numerators as per given numbers 8524/513, 8562/3183 is
GCF of Numerators i.e. for 8524,8562 is 2
LCM of denominators i.e. for 513,3183 is 544293.
Thus, GCF of Fractions is 2/544293.Finally, GCF of Fractions for 8524/513, 8562/3183 is 2/544293.