GCF of 2199/699, 4737/3292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2199/699, 4737/3292 i.e 3/2301108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2199/699, 4737/3292.
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 2199/699,4737/3292?
Given fractions are 2199/699,4737/3292
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 2199/699,4737/3292, numerators are 2199,4737
Denominators are 699,3292
The GCF of 2199,4737 is 3 .
LCM of 699,3292 is 2301108.
The greatest common factor of 2199/699,4737/3292 = [GCF of 2199,4737]/[LCM of 699,3292]= 3/2301108
Therefore, the GCF of 2199/699,4737/3292 is 3/2301108.
To find the highest common factor of 2199,4737, we have to find the factors of both numbers and list the highest common factor.
The factors of 2199 are 1, 3, 733, 2199
The factors of 4737 are 1, 3, 1579, 4737
The HCF of 2199,4737 is 3.
Lets's calculate GCF of 2199,4737
| 3 | 2199, 4737 |
| 733, 1579 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2199,4737 By Matching Biggest Common Factor Method
Now, list down the factors of 2199
:1,3,733,2199
Now, list down the factors of 4737
:1,3,1579,4737
Greatest Common Factor
We found the factors 2199,4737 . The biggest common factor number is the GCF number.
So the greatest common factor 2199,4737 is 3.
Lets's calculate LCM of 699,3292
Given numbers has no common factors except 1. So, there LCM is their product i.e 2301108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2301108
Therefore, the GCF of Fractions 2199/699,4737/3292 is 3/2301108
Least Common Multiple of 699,3292 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 699,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,3292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,3292) x common factors =1 x 1 = 1
LCM(699,3292) = ( 699 × 3292 ) / 1
LCM(699,3292) = 2301108 / 1
LCM(699,3292) = 2301108
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FAQs on GCF of Fractions of 2199/699, 4737/3292
1. What is the HCF of 2199,4737?
The HCF of 2199,4737 is 3
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 2199/699, 4737/3292?
Answer: GCF of Numerators as per given numbers 2199/699, 4737/3292 is
GCF of Numerators i.e. for 2199,4737 is 3
LCM of denominators i.e. for 699,3292 is 2301108.
Thus, GCF of Fractions is 3/2301108.Finally, GCF of Fractions for 2199/699, 4737/3292 is 3/2301108.