GCF of 4039/530, 9569/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4039/530, 9569/568 i.e 7/150520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4039/530, 9569/568.
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 4039/530,9569/568?
Given fractions are 4039/530,9569/568
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 4039/530,9569/568, numerators are 4039,9569
Denominators are 530,568
The GCF of 4039,9569 is 7 .
LCM of 530,568 is 150520.
The greatest common factor of 4039/530,9569/568 = [GCF of 4039,9569]/[LCM of 530,568]= 7/150520
Therefore, the GCF of 4039/530,9569/568 is 7/150520.
To find the highest common factor of 4039,9569, we have to find the factors of both numbers and list the highest common factor.
The factors of 4039 are 1, 7, 577, 4039
The factors of 9569 are 1, 7, 1367, 9569
The HCF of 4039,9569 is 7.
Lets's calculate GCF of 4039,9569
| 7 | 4039, 9569 |
| 577, 1367 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4039,9569 By Matching Biggest Common Factor Method
Now, list down the factors of 4039
:1,7,577,4039
Now, list down the factors of 9569
:1,7,1367,9569
Greatest Common Factor
We found the factors 4039,9569 . The biggest common factor number is the GCF number.
So the greatest common factor 4039,9569 is 7.
Lets's calculate LCM of 530,568
| 2 | 530, 568 |
| 265, 284 |
∴ So the LCM of the given numbers is 2 x 265 x 284 = 150520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/150520
Therefore, the GCF of Fractions 4039/530,9569/568 is 7/150520
Least Common Multiple of 530,568 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 530,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(530,568) x common factors =2 x 1 = 2
LCM(530,568) = ( 530 × 568 ) / 2
LCM(530,568) = 301040 / 2
LCM(530,568) = 150520
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FAQs on GCF of Fractions of 4039/530, 9569/568
1. What is the HCF of 4039,9569?
The HCF of 4039,9569 is 7
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 4039/530, 9569/568?
Answer: GCF of Numerators as per given numbers 4039/530, 9569/568 is
GCF of Numerators i.e. for 4039,9569 is 7
LCM of denominators i.e. for 530,568 is 150520.
Thus, GCF of Fractions is 7/150520.Finally, GCF of Fractions for 4039/530, 9569/568 is 7/150520.