GCF of 5785/580, 9568/1237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5785/580, 9568/1237 i.e 13/717460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5785/580, 9568/1237.
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 5785/580,9568/1237?
Given fractions are 5785/580,9568/1237
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 5785/580,9568/1237, numerators are 5785,9568
Denominators are 580,1237
The GCF of 5785,9568 is 13 .
LCM of 580,1237 is 717460.
The greatest common factor of 5785/580,9568/1237 = [GCF of 5785,9568]/[LCM of 580,1237]= 13/717460
Therefore, the GCF of 5785/580,9568/1237 is 13/717460.
To find the highest common factor of 5785,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 5785 are 1, 5, 13, 65, 89, 445, 1157, 5785
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The HCF of 5785,9568 is 13.
Lets's calculate GCF of 5785,9568
| 13 | 5785, 9568 |
| 445, 736 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5785,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 5785
:1,5,13,65,89,445,1157,5785
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 5785,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 5785,9568 is 13.
Lets's calculate LCM of 580,1237
Given numbers has no common factors except 1. So, there LCM is their product i.e 717460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/717460
Therefore, the GCF of Fractions 5785/580,9568/1237 is 13/717460
Least Common Multiple of 580,1237 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 580,1237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,1237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(580,1237) x common factors =1 x 1 = 1
LCM(580,1237) = ( 580 × 1237 ) / 1
LCM(580,1237) = 717460 / 1
LCM(580,1237) = 717460
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FAQs on GCF of Fractions of 5785/580, 9568/1237
1. What is the HCF of 5785,9568?
The HCF of 5785,9568 is 13
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 5785/580, 9568/1237?
Answer: GCF of Numerators as per given numbers 5785/580, 9568/1237 is
GCF of Numerators i.e. for 5785,9568 is 13
LCM of denominators i.e. for 580,1237 is 717460.
Thus, GCF of Fractions is 13/717460.Finally, GCF of Fractions for 5785/580, 9568/1237 is 13/717460.