GCF of 9616/524, 2577/1120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9616/524, 2577/1120 i.e 1/146720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9616/524, 2577/1120.
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 9616/524,2577/1120?
Given fractions are 9616/524,2577/1120
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 9616/524,2577/1120, numerators are 9616,2577
Denominators are 524,1120
The GCF of 9616,2577 is 1 .
LCM of 524,1120 is 146720.
The greatest common factor of 9616/524,2577/1120 = [GCF of 9616,2577]/[LCM of 524,1120]= 1/146720
Therefore, the GCF of 9616/524,2577/1120 is 1/146720.
To find the highest common factor of 9616,2577, we have to find the factors of both numbers and list the highest common factor.
The factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616
The factors of 2577 are 1, 3, 859, 2577
The HCF of 9616,2577 is 1.
Lets's calculate GCF of 9616,2577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9616,2577 By Matching Biggest Common Factor Method
Now, list down the factors of 9616
:1,2,4,8,16,601,1202,2404,4808,9616
Now, list down the factors of 2577
:1,3,859,2577
Greatest Common Factor
We found the factors 9616,2577 . The biggest common factor number is the GCF number.
So the greatest common factor 9616,2577 is 1.
Lets's calculate LCM of 524,1120
| 2 | 524, 1120 |
| 2 | 262, 560 |
| 131, 280 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 280 = 146720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146720
Therefore, the GCF of Fractions 9616/524,2577/1120 is 1/146720
Least Common Multiple of 524,1120 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 524,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,1120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(524,1120) x common factors =4 x 1 = 4
LCM(524,1120) = ( 524 × 1120 ) / 4
LCM(524,1120) = 586880 / 4
LCM(524,1120) = 146720
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FAQs on GCF of Fractions of 9616/524, 2577/1120
1. What is the HCF of 9616,2577?
The HCF of 9616,2577 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 9616/524, 2577/1120?
Answer: GCF of Numerators as per given numbers 9616/524, 2577/1120 is
GCF of Numerators i.e. for 9616,2577 is 1
LCM of denominators i.e. for 524,1120 is 146720.
Thus, GCF of Fractions is 1/146720.Finally, GCF of Fractions for 9616/524, 2577/1120 is 1/146720.