GCF of 9597/978, 6448/3860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9597/978, 6448/3860 i.e 1/1887540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9597/978, 6448/3860.
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 9597/978,6448/3860?
Given fractions are 9597/978,6448/3860
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 9597/978,6448/3860, numerators are 9597,6448
Denominators are 978,3860
The GCF of 9597,6448 is 1 .
LCM of 978,3860 is 1887540.
The greatest common factor of 9597/978,6448/3860 = [GCF of 9597,6448]/[LCM of 978,3860]= 1/1887540
Therefore, the GCF of 9597/978,6448/3860 is 1/1887540.
To find the highest common factor of 9597,6448, we have to find the factors of both numbers and list the highest common factor.
The factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597
The factors of 6448 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448
The HCF of 9597,6448 is 1.
Lets's calculate GCF of 9597,6448
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9597,6448 By Matching Biggest Common Factor Method
Now, list down the factors of 9597
:1,3,7,21,457,1371,3199,9597
Now, list down the factors of 6448
:1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448
Greatest Common Factor
We found the factors 9597,6448 . The biggest common factor number is the GCF number.
So the greatest common factor 9597,6448 is 1.
Lets's calculate LCM of 978,3860
| 2 | 978, 3860 |
| 489, 1930 |
∴ So the LCM of the given numbers is 2 x 489 x 1930 = 1887540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1887540
Therefore, the GCF of Fractions 9597/978,6448/3860 is 1/1887540
Least Common Multiple of 978,3860 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 978,3860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3860) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3860) x common factors =2 x 1 = 2
LCM(978,3860) = ( 978 × 3860 ) / 2
LCM(978,3860) = 3775080 / 2
LCM(978,3860) = 1887540
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9597/978, 6448/3860
1. What is the HCF of 9597,6448?
The HCF of 9597,6448 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 9597/978, 6448/3860?
Answer: GCF of Numerators as per given numbers 9597/978, 6448/3860 is
GCF of Numerators i.e. for 9597,6448 is 1
LCM of denominators i.e. for 978,3860 is 1887540.
Thus, GCF of Fractions is 1/1887540.Finally, GCF of Fractions for 9597/978, 6448/3860 is 1/1887540.