GCF of 1650/37, 2211/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1650/37, 2211/346 i.e 33/12802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1650/37, 2211/346.
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 1650/37,2211/346?
Given fractions are 1650/37,2211/346
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 1650/37,2211/346, numerators are 1650,2211
Denominators are 37,346
The GCF of 1650,2211 is 33 .
LCM of 37,346 is 12802.
The greatest common factor of 1650/37,2211/346 = [GCF of 1650,2211]/[LCM of 37,346]= 33/12802
Therefore, the GCF of 1650/37,2211/346 is 33/12802.
To find the highest common factor of 1650,2211, we have to find the factors of both numbers and list the highest common factor.
The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
The factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211
The HCF of 1650,2211 is 33.
Lets's calculate GCF of 1650,2211
| 3 | 1650, 2211 |
| 11 | 550, 737 |
| 50, 67 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 1650,2211 By Matching Biggest Common Factor Method
Now, list down the factors of 1650
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Now, list down the factors of 2211
:1,3,11,33,67,201,737,2211
Greatest Common Factor
We found the factors 1650,2211 . The biggest common factor number is the GCF number.
So the greatest common factor 1650,2211 is 33.
Lets's calculate LCM of 37,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 12802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/12802
Therefore, the GCF of Fractions 1650/37,2211/346 is 33/12802
Least Common Multiple of 37,346 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 37,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,346) x common factors =1 x 1 = 1
LCM(37,346) = ( 37 × 346 ) / 1
LCM(37,346) = 12802 / 1
LCM(37,346) = 12802
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FAQs on GCF of Fractions of 1650/37, 2211/346
1. What is the HCF of 1650,2211?
The HCF of 1650,2211 is 33
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 1650/37, 2211/346?
Answer: GCF of Numerators as per given numbers 1650/37, 2211/346 is
GCF of Numerators i.e. for 1650,2211 is 33
LCM of denominators i.e. for 37,346 is 12802.
Thus, GCF of Fractions is 33/12802.Finally, GCF of Fractions for 1650/37, 2211/346 is 33/12802.