GCF of 640/466, 580/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 640/466, 580/248 i.e 20/57784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/466, 580/248.
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 640/466,580/248?
Given fractions are 640/466,580/248
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 640/466,580/248, numerators are 640,580
Denominators are 466,248
The GCF of 640,580 is 20 .
LCM of 466,248 is 57784.
The greatest common factor of 640/466,580/248 = [GCF of 640,580]/[LCM of 466,248]= 20/57784
Therefore, the GCF of 640/466,580/248 is 20/57784.
To find the highest common factor of 640,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 640,580 is 20.
Lets's calculate GCF of 640,580
| 2 | 640, 580 |
| 2 | 320, 290 |
| 5 | 160, 145 |
| 32, 29 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 640,580 By Matching Biggest Common Factor Method
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 640,580 . The biggest common factor number is the GCF number.
So the greatest common factor 640,580 is 20.
Lets's calculate LCM of 466,248
| 2 | 466, 248 |
| 233, 124 |
∴ So the LCM of the given numbers is 2 x 233 x 124 = 57784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/57784
Therefore, the GCF of Fractions 640/466,580/248 is 20/57784
Least Common Multiple of 466,248 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 466,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,248) x common factors =2 x 1 = 2
LCM(466,248) = ( 466 × 248 ) / 2
LCM(466,248) = 115568 / 2
LCM(466,248) = 57784
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FAQs on GCF of Fractions of 640/466, 580/248
1. What is the HCF of 640,580?
The HCF of 640,580 is 20
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 640/466, 580/248?
Answer: GCF of Numerators as per given numbers 640/466, 580/248 is
GCF of Numerators i.e. for 640,580 is 20
LCM of denominators i.e. for 466,248 is 57784.
Thus, GCF of Fractions is 20/57784.Finally, GCF of Fractions for 640/466, 580/248 is 20/57784.