GCF of 2108/523, 9260/7306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2108/523, 9260/7306 i.e 4/3821038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2108/523, 9260/7306.
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 2108/523,9260/7306?
Given fractions are 2108/523,9260/7306
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 2108/523,9260/7306, numerators are 2108,9260
Denominators are 523,7306
The GCF of 2108,9260 is 4 .
LCM of 523,7306 is 3821038.
The greatest common factor of 2108/523,9260/7306 = [GCF of 2108,9260]/[LCM of 523,7306]= 4/3821038
Therefore, the GCF of 2108/523,9260/7306 is 4/3821038.
To find the highest common factor of 2108,9260, we have to find the factors of both numbers and list the highest common factor.
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The factors of 9260 are 1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260
The HCF of 2108,9260 is 4.
Lets's calculate GCF of 2108,9260
| 2 | 2108, 9260 |
| 2 | 1054, 4630 |
| 527, 2315 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2108,9260 By Matching Biggest Common Factor Method
Now, list down the factors of 2108
:1,2,4,17,31,34,62,68,124,527,1054,2108
Now, list down the factors of 9260
:1,2,4,5,10,20,463,926,1852,2315,4630,9260
Greatest Common Factor
We found the factors 2108,9260 . The biggest common factor number is the GCF number.
So the greatest common factor 2108,9260 is 4.
Lets's calculate LCM of 523,7306
Given numbers has no common factors except 1. So, there LCM is their product i.e 3821038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3821038
Therefore, the GCF of Fractions 2108/523,9260/7306 is 4/3821038
Least Common Multiple of 523,7306 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 523,7306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,7306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,7306) x common factors =1 x 1 = 1
LCM(523,7306) = ( 523 × 7306 ) / 1
LCM(523,7306) = 3821038 / 1
LCM(523,7306) = 3821038
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2108/523, 9260/7306
1. What is the HCF of 2108,9260?
The HCF of 2108,9260 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 2108/523, 9260/7306?
Answer: GCF of Numerators as per given numbers 2108/523, 9260/7306 is
GCF of Numerators i.e. for 2108,9260 is 4
LCM of denominators i.e. for 523,7306 is 3821038.
Thus, GCF of Fractions is 4/3821038.Finally, GCF of Fractions for 2108/523, 9260/7306 is 4/3821038.