GCF of 3633/622, 8650/2165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3633/622, 8650/2165 i.e 173/1346630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3633/622, 8650/2165.
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 3633/622,8650/2165?
Given fractions are 3633/622,8650/2165
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 3633/622,8650/2165, numerators are 3633,8650
Denominators are 622,2165
The GCF of 3633,8650 is 173 .
LCM of 622,2165 is 1346630.
The greatest common factor of 3633/622,8650/2165 = [GCF of 3633,8650]/[LCM of 622,2165]= 173/1346630
Therefore, the GCF of 3633/622,8650/2165 is 173/1346630.
To find the highest common factor of 3633,8650, we have to find the factors of both numbers and list the highest common factor.
The factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633
The factors of 8650 are 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650
The HCF of 3633,8650 is 173.
Lets's calculate GCF of 3633,8650
| 173 | 3633, 8650 |
| 21, 50 |
∴ So the GCF of the given numbers is 173 = 173
Greatest Common Factor of 3633,8650 By Matching Biggest Common Factor Method
Now, list down the factors of 3633
:1,3,7,21,173,519,1211,3633
Now, list down the factors of 8650
:1,2,5,10,25,50,173,346,865,1730,4325,8650
Greatest Common Factor
We found the factors 3633,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 3633,8650 is 173.
Lets's calculate LCM of 622,2165
Given numbers has no common factors except 1. So, there LCM is their product i.e 1346630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 173/1346630
Therefore, the GCF of Fractions 3633/622,8650/2165 is 173/1346630
Least Common Multiple of 622,2165 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 622,2165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,2165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,2165) x common factors =1 x 1 = 1
LCM(622,2165) = ( 622 × 2165 ) / 1
LCM(622,2165) = 1346630 / 1
LCM(622,2165) = 1346630
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FAQs on GCF of Fractions of 3633/622, 8650/2165
1. What is the HCF of 3633,8650?
The HCF of 3633,8650 is 173
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 3633/622, 8650/2165?
Answer: GCF of Numerators as per given numbers 3633/622, 8650/2165 is
GCF of Numerators i.e. for 3633,8650 is 173
LCM of denominators i.e. for 622,2165 is 1346630.
Thus, GCF of Fractions is 173/1346630.Finally, GCF of Fractions for 3633/622, 8650/2165 is 173/1346630.