GCF of 9544/776, 2565/8072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9544/776, 2565/8072 i.e 1/782984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9544/776, 2565/8072.
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 9544/776,2565/8072?
Given fractions are 9544/776,2565/8072
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 9544/776,2565/8072, numerators are 9544,2565
Denominators are 776,8072
The GCF of 9544,2565 is 1 .
LCM of 776,8072 is 782984.
The greatest common factor of 9544/776,2565/8072 = [GCF of 9544,2565]/[LCM of 776,8072]= 1/782984
Therefore, the GCF of 9544/776,2565/8072 is 1/782984.
To find the highest common factor of 9544,2565, we have to find the factors of both numbers and list the highest common factor.
The factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544
The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
The HCF of 9544,2565 is 1.
Lets's calculate GCF of 9544,2565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9544,2565 By Matching Biggest Common Factor Method
Now, list down the factors of 9544
:1,2,4,8,1193,2386,4772,9544
Now, list down the factors of 2565
:1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565
Greatest Common Factor
We found the factors 9544,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 9544,2565 is 1.
Lets's calculate LCM of 776,8072
| 2 | 776, 8072 |
| 2 | 388, 4036 |
| 2 | 194, 2018 |
| 97, 1009 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 1009 = 782984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/782984
Therefore, the GCF of Fractions 9544/776,2565/8072 is 1/782984
Least Common Multiple of 776,8072 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 776,8072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,8072) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,8072) x common factors =8 x 1 = 8
LCM(776,8072) = ( 776 × 8072 ) / 8
LCM(776,8072) = 6263872 / 8
LCM(776,8072) = 782984
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FAQs on GCF of Fractions of 9544/776, 2565/8072
1. What is the HCF of 9544,2565?
The HCF of 9544,2565 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 9544/776, 2565/8072?
Answer: GCF of Numerators as per given numbers 9544/776, 2565/8072 is
GCF of Numerators i.e. for 9544,2565 is 1
LCM of denominators i.e. for 776,8072 is 782984.
Thus, GCF of Fractions is 1/782984.Finally, GCF of Fractions for 9544/776, 2565/8072 is 1/782984.