GCF of 4716/582, 5320/9568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4716/582, 5320/9568 i.e 4/2784288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4716/582, 5320/9568.
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 4716/582,5320/9568?
Given fractions are 4716/582,5320/9568
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 4716/582,5320/9568, numerators are 4716,5320
Denominators are 582,9568
The GCF of 4716,5320 is 4 .
LCM of 582,9568 is 2784288.
The greatest common factor of 4716/582,5320/9568 = [GCF of 4716,5320]/[LCM of 582,9568]= 4/2784288
Therefore, the GCF of 4716/582,5320/9568 is 4/2784288.
To find the highest common factor of 4716,5320, we have to find the factors of both numbers and list the highest common factor.
The factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716
The factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320
The HCF of 4716,5320 is 4.
Lets's calculate GCF of 4716,5320
| 2 | 4716, 5320 |
| 2 | 2358, 2660 |
| 1179, 1330 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4716,5320 By Matching Biggest Common Factor Method
Now, list down the factors of 4716
:1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716
Now, list down the factors of 5320
:1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 4716,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 4716,5320 is 4.
Lets's calculate LCM of 582,9568
| 2 | 582, 9568 |
| 291, 4784 |
∴ So the LCM of the given numbers is 2 x 291 x 4784 = 2784288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2784288
Therefore, the GCF of Fractions 4716/582,5320/9568 is 4/2784288
Least Common Multiple of 582,9568 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 582,9568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9568) x common factors =2 x 1 = 2
LCM(582,9568) = ( 582 × 9568 ) / 2
LCM(582,9568) = 5568576 / 2
LCM(582,9568) = 2784288
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FAQs on GCF of Fractions of 4716/582, 5320/9568
1. What is the HCF of 4716,5320?
The HCF of 4716,5320 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 4716/582, 5320/9568?
Answer: GCF of Numerators as per given numbers 4716/582, 5320/9568 is
GCF of Numerators i.e. for 4716,5320 is 4
LCM of denominators i.e. for 582,9568 is 2784288.
Thus, GCF of Fractions is 4/2784288.Finally, GCF of Fractions for 4716/582, 5320/9568 is 4/2784288.