GCF of 4399/553, 2075/2517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4399/553, 2075/2517 i.e 83/1391901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4399/553, 2075/2517.
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 4399/553,2075/2517?
Given fractions are 4399/553,2075/2517
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 4399/553,2075/2517, numerators are 4399,2075
Denominators are 553,2517
The GCF of 4399,2075 is 83 .
LCM of 553,2517 is 1391901.
The greatest common factor of 4399/553,2075/2517 = [GCF of 4399,2075]/[LCM of 553,2517]= 83/1391901
Therefore, the GCF of 4399/553,2075/2517 is 83/1391901.
To find the highest common factor of 4399,2075, we have to find the factors of both numbers and list the highest common factor.
The factors of 4399 are 1, 53, 83, 4399
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The HCF of 4399,2075 is 83.
Lets's calculate GCF of 4399,2075
| 83 | 4399, 2075 |
| 53, 25 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 4399,2075 By Matching Biggest Common Factor Method
Now, list down the factors of 4399
:1,53,83,4399
Now, list down the factors of 2075
:1,5,25,83,415,2075
Greatest Common Factor
We found the factors 4399,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 4399,2075 is 83.
Lets's calculate LCM of 553,2517
Given numbers has no common factors except 1. So, there LCM is their product i.e 1391901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/1391901
Therefore, the GCF of Fractions 4399/553,2075/2517 is 83/1391901
Least Common Multiple of 553,2517 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 553,2517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,2517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,2517) x common factors =1 x 1 = 1
LCM(553,2517) = ( 553 × 2517 ) / 1
LCM(553,2517) = 1391901 / 1
LCM(553,2517) = 1391901
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FAQs on GCF of Fractions of 4399/553, 2075/2517
1. What is the HCF of 4399,2075?
The HCF of 4399,2075 is 83
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 4399/553, 2075/2517?
Answer: GCF of Numerators as per given numbers 4399/553, 2075/2517 is
GCF of Numerators i.e. for 4399,2075 is 83
LCM of denominators i.e. for 553,2517 is 1391901.
Thus, GCF of Fractions is 83/1391901.Finally, GCF of Fractions for 4399/553, 2075/2517 is 83/1391901.