GCF of 8399/252, 5499/2133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8399/252, 5499/2133 i.e 1/59724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8399/252, 5499/2133.
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 8399/252,5499/2133?
Given fractions are 8399/252,5499/2133
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 8399/252,5499/2133, numerators are 8399,5499
Denominators are 252,2133
The GCF of 8399,5499 is 1 .
LCM of 252,2133 is 59724.
The greatest common factor of 8399/252,5499/2133 = [GCF of 8399,5499]/[LCM of 252,2133]= 1/59724
Therefore, the GCF of 8399/252,5499/2133 is 1/59724.
To find the highest common factor of 8399,5499, we have to find the factors of both numbers and list the highest common factor.
The factors of 8399 are 1, 37, 227, 8399
The factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499
The HCF of 8399,5499 is 1.
Lets's calculate GCF of 8399,5499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8399,5499 By Matching Biggest Common Factor Method
Now, list down the factors of 8399
:1,37,227,8399
Now, list down the factors of 5499
:1,3,9,13,39,47,117,141,423,611,1833,5499
Greatest Common Factor
We found the factors 8399,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 8399,5499 is 1.
Lets's calculate LCM of 252,2133
| 3 | 252, 2133 |
| 3 | 84, 711 |
| 28, 237 |
∴ So the LCM of the given numbers is 3 x 3 x 28 x 237 = 59724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59724
Therefore, the GCF of Fractions 8399/252,5499/2133 is 1/59724
Least Common Multiple of 252,2133 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 252,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,2133) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(252,2133) x common factors =9 x 1 = 9
LCM(252,2133) = ( 252 × 2133 ) / 9
LCM(252,2133) = 537516 / 9
LCM(252,2133) = 59724
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FAQs on GCF of Fractions of 8399/252, 5499/2133
1. What is the HCF of 8399,5499?
The HCF of 8399,5499 is 1
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 8399/252, 5499/2133?
Answer: GCF of Numerators as per given numbers 8399/252, 5499/2133 is
GCF of Numerators i.e. for 8399,5499 is 1
LCM of denominators i.e. for 252,2133 is 59724.
Thus, GCF of Fractions is 1/59724.Finally, GCF of Fractions for 8399/252, 5499/2133 is 1/59724.