GCF of 880/199, 9488/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/199, 9488/1026 i.e 16/204174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/199, 9488/1026.
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 880/199,9488/1026?
Given fractions are 880/199,9488/1026
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 880/199,9488/1026, numerators are 880,9488
Denominators are 199,1026
The GCF of 880,9488 is 16 .
LCM of 199,1026 is 204174.
The greatest common factor of 880/199,9488/1026 = [GCF of 880,9488]/[LCM of 199,1026]= 16/204174
Therefore, the GCF of 880/199,9488/1026 is 16/204174.
To find the highest common factor of 880,9488, we have to find the factors of both numbers and list the highest common factor.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488
The HCF of 880,9488 is 16.
Lets's calculate GCF of 880,9488
| 2 | 880, 9488 |
| 2 | 440, 4744 |
| 2 | 220, 2372 |
| 2 | 110, 1186 |
| 55, 593 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 880,9488 By Matching Biggest Common Factor Method
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 9488
:1,2,4,8,16,593,1186,2372,4744,9488
Greatest Common Factor
We found the factors 880,9488 . The biggest common factor number is the GCF number.
So the greatest common factor 880,9488 is 16.
Lets's calculate LCM of 199,1026
Given numbers has no common factors except 1. So, there LCM is their product i.e 204174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/204174
Therefore, the GCF of Fractions 880/199,9488/1026 is 16/204174
Least Common Multiple of 199,1026 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 199,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,1026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,1026) x common factors =1 x 1 = 1
LCM(199,1026) = ( 199 × 1026 ) / 1
LCM(199,1026) = 204174 / 1
LCM(199,1026) = 204174
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FAQs on GCF of Fractions of 880/199, 9488/1026
1. What is the HCF of 880,9488?
The HCF of 880,9488 is 16
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 880/199, 9488/1026?
Answer: GCF of Numerators as per given numbers 880/199, 9488/1026 is
GCF of Numerators i.e. for 880,9488 is 16
LCM of denominators i.e. for 199,1026 is 204174.
Thus, GCF of Fractions is 16/204174.Finally, GCF of Fractions for 880/199, 9488/1026 is 16/204174.