GCF of 9524/765, 6984/1775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9524/765, 6984/1775 i.e 4/271575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9524/765, 6984/1775.
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 9524/765,6984/1775?
Given fractions are 9524/765,6984/1775
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 9524/765,6984/1775, numerators are 9524,6984
Denominators are 765,1775
The GCF of 9524,6984 is 4 .
LCM of 765,1775 is 271575.
The greatest common factor of 9524/765,6984/1775 = [GCF of 9524,6984]/[LCM of 765,1775]= 4/271575
Therefore, the GCF of 9524/765,6984/1775 is 4/271575.
To find the highest common factor of 9524,6984, we have to find the factors of both numbers and list the highest common factor.
The factors of 9524 are 1, 2, 4, 2381, 4762, 9524
The factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The HCF of 9524,6984 is 4.
Lets's calculate GCF of 9524,6984
| 2 | 9524, 6984 |
| 2 | 4762, 3492 |
| 2381, 1746 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9524,6984 By Matching Biggest Common Factor Method
Now, list down the factors of 9524
:1,2,4,2381,4762,9524
Now, list down the factors of 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Greatest Common Factor
We found the factors 9524,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,6984 is 4.
Lets's calculate LCM of 765,1775
| 5 | 765, 1775 |
| 153, 355 |
∴ So the LCM of the given numbers is 5 x 153 x 355 = 271575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/271575
Therefore, the GCF of Fractions 9524/765,6984/1775 is 4/271575
Least Common Multiple of 765,1775 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 765,1775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,1775) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(765,1775) x common factors =5 x 1 = 5
LCM(765,1775) = ( 765 × 1775 ) / 5
LCM(765,1775) = 1357875 / 5
LCM(765,1775) = 271575
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FAQs on GCF of Fractions of 9524/765, 6984/1775
1. What is the HCF of 9524,6984?
The HCF of 9524,6984 is 4
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 9524/765, 6984/1775?
Answer: GCF of Numerators as per given numbers 9524/765, 6984/1775 is
GCF of Numerators i.e. for 9524,6984 is 4
LCM of denominators i.e. for 765,1775 is 271575.
Thus, GCF of Fractions is 4/271575.Finally, GCF of Fractions for 9524/765, 6984/1775 is 4/271575.