GCF of 9598/458, 1366/2324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9598/458, 1366/2324 i.e 2/532196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9598/458, 1366/2324.
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 9598/458,1366/2324?
Given fractions are 9598/458,1366/2324
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 9598/458,1366/2324, numerators are 9598,1366
Denominators are 458,2324
The GCF of 9598,1366 is 2 .
LCM of 458,2324 is 532196.
The greatest common factor of 9598/458,1366/2324 = [GCF of 9598,1366]/[LCM of 458,2324]= 2/532196
Therefore, the GCF of 9598/458,1366/2324 is 2/532196.
To find the highest common factor of 9598,1366, we have to find the factors of both numbers and list the highest common factor.
The factors of 9598 are 1, 2, 4799, 9598
The factors of 1366 are 1, 2, 683, 1366
The HCF of 9598,1366 is 2.
Lets's calculate GCF of 9598,1366
| 2 | 9598, 1366 |
| 4799, 683 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9598,1366 By Matching Biggest Common Factor Method
Now, list down the factors of 9598
:1,2,4799,9598
Now, list down the factors of 1366
:1,2,683,1366
Greatest Common Factor
We found the factors 9598,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 9598,1366 is 2.
Lets's calculate LCM of 458,2324
| 2 | 458, 2324 |
| 229, 1162 |
∴ So the LCM of the given numbers is 2 x 229 x 1162 = 532196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/532196
Therefore, the GCF of Fractions 9598/458,1366/2324 is 2/532196
Least Common Multiple of 458,2324 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 458,2324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,2324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,2324) x common factors =2 x 1 = 2
LCM(458,2324) = ( 458 × 2324 ) / 2
LCM(458,2324) = 1064392 / 2
LCM(458,2324) = 532196
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FAQs on GCF of Fractions of 9598/458, 1366/2324
1. What is the HCF of 9598,1366?
The HCF of 9598,1366 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 9598/458, 1366/2324?
Answer: GCF of Numerators as per given numbers 9598/458, 1366/2324 is
GCF of Numerators i.e. for 9598,1366 is 2
LCM of denominators i.e. for 458,2324 is 532196.
Thus, GCF of Fractions is 2/532196.Finally, GCF of Fractions for 9598/458, 1366/2324 is 2/532196.