GCF of 9638/324, 7649/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9638/324, 7649/452 i.e 1/36612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9638/324, 7649/452.
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 9638/324,7649/452?
Given fractions are 9638/324,7649/452
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 9638/324,7649/452, numerators are 9638,7649
Denominators are 324,452
The GCF of 9638,7649 is 1 .
LCM of 324,452 is 36612.
The greatest common factor of 9638/324,7649/452 = [GCF of 9638,7649]/[LCM of 324,452]= 1/36612
Therefore, the GCF of 9638/324,7649/452 is 1/36612.
To find the highest common factor of 9638,7649, we have to find the factors of both numbers and list the highest common factor.
The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638
The factors of 7649 are 1, 7649
The HCF of 9638,7649 is 1.
Lets's calculate GCF of 9638,7649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9638,7649 By Matching Biggest Common Factor Method
Now, list down the factors of 9638
:1,2,61,79,122,158,4819,9638
Now, list down the factors of 7649
:1,7649
Greatest Common Factor
We found the factors 9638,7649 . The biggest common factor number is the GCF number.
So the greatest common factor 9638,7649 is 1.
Lets's calculate LCM of 324,452
| 2 | 324, 452 |
| 2 | 162, 226 |
| 81, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 113 = 36612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36612
Therefore, the GCF of Fractions 9638/324,7649/452 is 1/36612
Least Common Multiple of 324,452 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 324,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,452) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(324,452) x common factors =4 x 1 = 4
LCM(324,452) = ( 324 × 452 ) / 4
LCM(324,452) = 146448 / 4
LCM(324,452) = 36612
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FAQs on GCF of Fractions of 9638/324, 7649/452
1. What is the HCF of 9638,7649?
The HCF of 9638,7649 is 1
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 9638/324, 7649/452?
Answer: GCF of Numerators as per given numbers 9638/324, 7649/452 is
GCF of Numerators i.e. for 9638,7649 is 1
LCM of denominators i.e. for 324,452 is 36612.
Thus, GCF of Fractions is 1/36612.Finally, GCF of Fractions for 9638/324, 7649/452 is 1/36612.