GCF of 9902/184, 2320/2205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9902/184, 2320/2205 i.e 2/405720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9902/184, 2320/2205.
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 9902/184,2320/2205?
Given fractions are 9902/184,2320/2205
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 9902/184,2320/2205, numerators are 9902,2320
Denominators are 184,2205
The GCF of 9902,2320 is 2 .
LCM of 184,2205 is 405720.
The greatest common factor of 9902/184,2320/2205 = [GCF of 9902,2320]/[LCM of 184,2205]= 2/405720
Therefore, the GCF of 9902/184,2320/2205 is 2/405720.
To find the highest common factor of 9902,2320, we have to find the factors of both numbers and list the highest common factor.
The factors of 9902 are 1, 2, 4951, 9902
The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
The HCF of 9902,2320 is 2.
Lets's calculate GCF of 9902,2320
| 2 | 9902, 2320 |
| 4951, 1160 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9902,2320 By Matching Biggest Common Factor Method
Now, list down the factors of 9902
:1,2,4951,9902
Now, list down the factors of 2320
:1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Greatest Common Factor
We found the factors 9902,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 9902,2320 is 2.
Lets's calculate LCM of 184,2205
Given numbers has no common factors except 1. So, there LCM is their product i.e 405720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/405720
Therefore, the GCF of Fractions 9902/184,2320/2205 is 2/405720
Least Common Multiple of 184,2205 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 184,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,2205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,2205) x common factors =1 x 1 = 1
LCM(184,2205) = ( 184 × 2205 ) / 1
LCM(184,2205) = 405720 / 1
LCM(184,2205) = 405720
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FAQs on GCF of Fractions of 9902/184, 2320/2205
1. What is the HCF of 9902,2320?
The HCF of 9902,2320 is 2
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 9902/184, 2320/2205?
Answer: GCF of Numerators as per given numbers 9902/184, 2320/2205 is
GCF of Numerators i.e. for 9902,2320 is 2
LCM of denominators i.e. for 184,2205 is 405720.
Thus, GCF of Fractions is 2/405720.Finally, GCF of Fractions for 9902/184, 2320/2205 is 2/405720.