GCF of 8399/414, 4356/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8399/414, 4356/514 i.e 1/106398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8399/414, 4356/514.
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 8399/414,4356/514?
Given fractions are 8399/414,4356/514
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 8399/414,4356/514, numerators are 8399,4356
Denominators are 414,514
The GCF of 8399,4356 is 1 .
LCM of 414,514 is 106398.
The greatest common factor of 8399/414,4356/514 = [GCF of 8399,4356]/[LCM of 414,514]= 1/106398
Therefore, the GCF of 8399/414,4356/514 is 1/106398.
To find the highest common factor of 8399,4356, 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 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356
The HCF of 8399,4356 is 1.
Lets's calculate GCF of 8399,4356
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8399,4356 By Matching Biggest Common Factor Method
Now, list down the factors of 8399
:1,37,227,8399
Now, list down the factors of 4356
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Greatest Common Factor
We found the factors 8399,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 8399,4356 is 1.
Lets's calculate LCM of 414,514
| 2 | 414, 514 |
| 207, 257 |
∴ So the LCM of the given numbers is 2 x 207 x 257 = 106398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106398
Therefore, the GCF of Fractions 8399/414,4356/514 is 1/106398
Least Common Multiple of 414,514 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 414,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,514) x common factors =2 x 1 = 2
LCM(414,514) = ( 414 × 514 ) / 2
LCM(414,514) = 212796 / 2
LCM(414,514) = 106398
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FAQs on GCF of Fractions of 8399/414, 4356/514
1. What is the HCF of 8399,4356?
The HCF of 8399,4356 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 8399/414, 4356/514?
Answer: GCF of Numerators as per given numbers 8399/414, 4356/514 is
GCF of Numerators i.e. for 8399,4356 is 1
LCM of denominators i.e. for 414,514 is 106398.
Thus, GCF of Fractions is 1/106398.Finally, GCF of Fractions for 8399/414, 4356/514 is 1/106398.