GCF of 520/783, 286/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/783, 286/960 i.e 26/250560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/783, 286/960.
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 520/783,286/960?
Given fractions are 520/783,286/960
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 520/783,286/960, numerators are 520,286
Denominators are 783,960
The GCF of 520,286 is 26 .
LCM of 783,960 is 250560.
The greatest common factor of 520/783,286/960 = [GCF of 520,286]/[LCM of 783,960]= 26/250560
Therefore, the GCF of 520/783,286/960 is 26/250560.
To find the highest common factor of 520,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 520,286 is 26.
Lets's calculate GCF of 520,286
| 2 | 520, 286 |
| 13 | 260, 143 |
| 20, 11 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 520,286 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 520,286 . The biggest common factor number is the GCF number.
So the greatest common factor 520,286 is 26.
Lets's calculate LCM of 783,960
| 3 | 783, 960 |
| 261, 320 |
∴ So the LCM of the given numbers is 3 x 261 x 320 = 250560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/250560
Therefore, the GCF of Fractions 520/783,286/960 is 26/250560
Least Common Multiple of 783,960 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 783,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,960) x common factors =3 x 1 = 3
LCM(783,960) = ( 783 × 960 ) / 3
LCM(783,960) = 751680 / 3
LCM(783,960) = 250560
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FAQs on GCF of Fractions of 520/783, 286/960
1. What is the HCF of 520,286?
The HCF of 520,286 is 26
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 520/783, 286/960?
Answer: GCF of Numerators as per given numbers 520/783, 286/960 is
GCF of Numerators i.e. for 520,286 is 26
LCM of denominators i.e. for 783,960 is 250560.
Thus, GCF of Fractions is 26/250560.Finally, GCF of Fractions for 520/783, 286/960 is 26/250560.