GCF of 9920/497, 5568/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9920/497, 5568/440 i.e 64/218680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9920/497, 5568/440.
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 9920/497,5568/440?
Given fractions are 9920/497,5568/440
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 9920/497,5568/440, numerators are 9920,5568
Denominators are 497,440
The GCF of 9920,5568 is 64 .
LCM of 497,440 is 218680.
The greatest common factor of 9920/497,5568/440 = [GCF of 9920,5568]/[LCM of 497,440]= 64/218680
Therefore, the GCF of 9920/497,5568/440 is 64/218680.
To find the highest common factor of 9920,5568, we have to find the factors of both numbers and list the highest common factor.
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920
The factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568
The HCF of 9920,5568 is 64.
Lets's calculate GCF of 9920,5568
| 2 | 9920, 5568 |
| 2 | 4960, 2784 |
| 2 | 2480, 1392 |
| 2 | 1240, 696 |
| 2 | 620, 348 |
| 2 | 310, 174 |
| 155, 87 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 9920,5568 By Matching Biggest Common Factor Method
Now, list down the factors of 9920
:1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Now, list down the factors of 5568
:1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Greatest Common Factor
We found the factors 9920,5568 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,5568 is 64.
Lets's calculate LCM of 497,440
Given numbers has no common factors except 1. So, there LCM is their product i.e 218680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/218680
Therefore, the GCF of Fractions 9920/497,5568/440 is 64/218680
Least Common Multiple of 497,440 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 497,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,440) x common factors =1 x 1 = 1
LCM(497,440) = ( 497 × 440 ) / 1
LCM(497,440) = 218680 / 1
LCM(497,440) = 218680
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FAQs on GCF of Fractions of 9920/497, 5568/440
1. What is the HCF of 9920,5568?
The HCF of 9920,5568 is 64
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 9920/497, 5568/440?
Answer: GCF of Numerators as per given numbers 9920/497, 5568/440 is
GCF of Numerators i.e. for 9920,5568 is 64
LCM of denominators i.e. for 497,440 is 218680.
Thus, GCF of Fractions is 64/218680.Finally, GCF of Fractions for 9920/497, 5568/440 is 64/218680.