GCF of 9602/213, 4482/2529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9602/213, 4482/2529 i.e 2/179559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9602/213, 4482/2529.
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 9602/213,4482/2529?
Given fractions are 9602/213,4482/2529
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 9602/213,4482/2529, numerators are 9602,4482
Denominators are 213,2529
The GCF of 9602,4482 is 2 .
LCM of 213,2529 is 179559.
The greatest common factor of 9602/213,4482/2529 = [GCF of 9602,4482]/[LCM of 213,2529]= 2/179559
Therefore, the GCF of 9602/213,4482/2529 is 2/179559.
To find the highest common factor of 9602,4482, we have to find the factors of both numbers and list the highest common factor.
The factors of 9602 are 1, 2, 4801, 9602
The factors of 4482 are 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482
The HCF of 9602,4482 is 2.
Lets's calculate GCF of 9602,4482
| 2 | 9602, 4482 |
| 4801, 2241 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9602,4482 By Matching Biggest Common Factor Method
Now, list down the factors of 9602
:1,2,4801,9602
Now, list down the factors of 4482
:1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482
Greatest Common Factor
We found the factors 9602,4482 . The biggest common factor number is the GCF number.
So the greatest common factor 9602,4482 is 2.
Lets's calculate LCM of 213,2529
| 3 | 213, 2529 |
| 71, 843 |
∴ So the LCM of the given numbers is 3 x 71 x 843 = 179559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179559
Therefore, the GCF of Fractions 9602/213,4482/2529 is 2/179559
Least Common Multiple of 213,2529 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 213,2529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,2529) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,2529) x common factors =3 x 1 = 3
LCM(213,2529) = ( 213 × 2529 ) / 3
LCM(213,2529) = 538677 / 3
LCM(213,2529) = 179559
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9602/213, 4482/2529
1. What is the HCF of 9602,4482?
The HCF of 9602,4482 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 9602/213, 4482/2529?
Answer: GCF of Numerators as per given numbers 9602/213, 4482/2529 is
GCF of Numerators i.e. for 9602,4482 is 2
LCM of denominators i.e. for 213,2529 is 179559.
Thus, GCF of Fractions is 2/179559.Finally, GCF of Fractions for 9602/213, 4482/2529 is 2/179559.