GCF of 8959/490, 4416/3622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8959/490, 4416/3622 i.e 1/887390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8959/490, 4416/3622.
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 8959/490,4416/3622?
Given fractions are 8959/490,4416/3622
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 8959/490,4416/3622, numerators are 8959,4416
Denominators are 490,3622
The GCF of 8959,4416 is 1 .
LCM of 490,3622 is 887390.
The greatest common factor of 8959/490,4416/3622 = [GCF of 8959,4416]/[LCM of 490,3622]= 1/887390
Therefore, the GCF of 8959/490,4416/3622 is 1/887390.
To find the highest common factor of 8959,4416, we have to find the factors of both numbers and list the highest common factor.
The factors of 8959 are 1, 17, 31, 289, 527, 8959
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The HCF of 8959,4416 is 1.
Lets's calculate GCF of 8959,4416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8959,4416 By Matching Biggest Common Factor Method
Now, list down the factors of 8959
:1,17,31,289,527,8959
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Greatest Common Factor
We found the factors 8959,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 8959,4416 is 1.
Lets's calculate LCM of 490,3622
| 2 | 490, 3622 |
| 245, 1811 |
∴ So the LCM of the given numbers is 2 x 245 x 1811 = 887390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887390
Therefore, the GCF of Fractions 8959/490,4416/3622 is 1/887390
Least Common Multiple of 490,3622 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 490,3622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,3622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,3622) x common factors =2 x 1 = 2
LCM(490,3622) = ( 490 × 3622 ) / 2
LCM(490,3622) = 1774780 / 2
LCM(490,3622) = 887390
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FAQs on GCF of Fractions of 8959/490, 4416/3622
1. What is the HCF of 8959,4416?
The HCF of 8959,4416 is 1
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 8959/490, 4416/3622?
Answer: GCF of Numerators as per given numbers 8959/490, 4416/3622 is
GCF of Numerators i.e. for 8959,4416 is 1
LCM of denominators i.e. for 490,3622 is 887390.
Thus, GCF of Fractions is 1/887390.Finally, GCF of Fractions for 8959/490, 4416/3622 is 1/887390.