GCF of 520/252, 640/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/252, 640/568 i.e 40/35784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/252, 640/568.
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 520/252,640/568?
Given fractions are 520/252,640/568
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 520/252,640/568, numerators are 520,640
Denominators are 252,568
The GCF of 520,640 is 40 .
LCM of 252,568 is 35784.
The greatest common factor of 520/252,640/568 = [GCF of 520,640]/[LCM of 252,568]= 40/35784
Therefore, the GCF of 520/252,640/568 is 40/35784.
To find the highest common factor of 520,640, 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 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The HCF of 520,640 is 40.
Lets's calculate GCF of 520,640
| 2 | 520, 640 |
| 2 | 260, 320 |
| 2 | 130, 160 |
| 5 | 65, 80 |
| 13, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 520,640 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 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 520,640 . The biggest common factor number is the GCF number.
So the greatest common factor 520,640 is 40.
Lets's calculate LCM of 252,568
| 2 | 252, 568 |
| 2 | 126, 284 |
| 63, 142 |
∴ So the LCM of the given numbers is 2 x 2 x 63 x 142 = 35784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/35784
Therefore, the GCF of Fractions 520/252,640/568 is 40/35784
Least Common Multiple of 252,568 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 252,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(252,568) x common factors =4 x 1 = 4
LCM(252,568) = ( 252 × 568 ) / 4
LCM(252,568) = 143136 / 4
LCM(252,568) = 35784
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FAQs on GCF of Fractions of 520/252, 640/568
1. What is the HCF of 520,640?
The HCF of 520,640 is 40
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 520/252, 640/568?
Answer: GCF of Numerators as per given numbers 520/252, 640/568 is
GCF of Numerators i.e. for 520,640 is 40
LCM of denominators i.e. for 252,568 is 35784.
Thus, GCF of Fractions is 40/35784.Finally, GCF of Fractions for 520/252, 640/568 is 40/35784.