GCF of 9089/458, 7320/2470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9089/458, 7320/2470 i.e 61/565630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9089/458, 7320/2470.
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 9089/458,7320/2470?
Given fractions are 9089/458,7320/2470
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 9089/458,7320/2470, numerators are 9089,7320
Denominators are 458,2470
The GCF of 9089,7320 is 61 .
LCM of 458,2470 is 565630.
The greatest common factor of 9089/458,7320/2470 = [GCF of 9089,7320]/[LCM of 458,2470]= 61/565630
Therefore, the GCF of 9089/458,7320/2470 is 61/565630.
To find the highest common factor of 9089,7320, we have to find the factors of both numbers and list the highest common factor.
The factors of 9089 are 1, 61, 149, 9089
The factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320
The HCF of 9089,7320 is 61.
Lets's calculate GCF of 9089,7320
| 61 | 9089, 7320 |
| 149, 120 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 9089,7320 By Matching Biggest Common Factor Method
Now, list down the factors of 9089
:1,61,149,9089
Now, list down the factors of 7320
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Greatest Common Factor
We found the factors 9089,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 9089,7320 is 61.
Lets's calculate LCM of 458,2470
| 2 | 458, 2470 |
| 229, 1235 |
∴ So the LCM of the given numbers is 2 x 229 x 1235 = 565630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/565630
Therefore, the GCF of Fractions 9089/458,7320/2470 is 61/565630
Least Common Multiple of 458,2470 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 458,2470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,2470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,2470) x common factors =2 x 1 = 2
LCM(458,2470) = ( 458 × 2470 ) / 2
LCM(458,2470) = 1131260 / 2
LCM(458,2470) = 565630
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FAQs on GCF of Fractions of 9089/458, 7320/2470
1. What is the HCF of 9089,7320?
The HCF of 9089,7320 is 61
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 9089/458, 7320/2470?
Answer: GCF of Numerators as per given numbers 9089/458, 7320/2470 is
GCF of Numerators i.e. for 9089,7320 is 61
LCM of denominators i.e. for 458,2470 is 565630.
Thus, GCF of Fractions is 61/565630.Finally, GCF of Fractions for 9089/458, 7320/2470 is 61/565630.