GCF of 4216/850, 4349/6816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4216/850, 4349/6816 i.e 1/2896800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4216/850, 4349/6816.
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 4216/850,4349/6816?
Given fractions are 4216/850,4349/6816
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 4216/850,4349/6816, numerators are 4216,4349
Denominators are 850,6816
The GCF of 4216,4349 is 1 .
LCM of 850,6816 is 2896800.
The greatest common factor of 4216/850,4349/6816 = [GCF of 4216,4349]/[LCM of 850,6816]= 1/2896800
Therefore, the GCF of 4216/850,4349/6816 is 1/2896800.
To find the highest common factor of 4216,4349, we have to find the factors of both numbers and list the highest common factor.
The factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216
The factors of 4349 are 1, 4349
The HCF of 4216,4349 is 1.
Lets's calculate GCF of 4216,4349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4216,4349 By Matching Biggest Common Factor Method
Now, list down the factors of 4216
:1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
Now, list down the factors of 4349
:1,4349
Greatest Common Factor
We found the factors 4216,4349 . The biggest common factor number is the GCF number.
So the greatest common factor 4216,4349 is 1.
Lets's calculate LCM of 850,6816
| 2 | 850, 6816 |
| 425, 3408 |
∴ So the LCM of the given numbers is 2 x 425 x 3408 = 2896800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2896800
Therefore, the GCF of Fractions 4216/850,4349/6816 is 1/2896800
Least Common Multiple of 850,6816 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 850,6816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,6816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,6816) x common factors =2 x 1 = 2
LCM(850,6816) = ( 850 × 6816 ) / 2
LCM(850,6816) = 5793600 / 2
LCM(850,6816) = 2896800
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FAQs on GCF of Fractions of 4216/850, 4349/6816
1. What is the HCF of 4216,4349?
The HCF of 4216,4349 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 4216/850, 4349/6816?
Answer: GCF of Numerators as per given numbers 4216/850, 4349/6816 is
GCF of Numerators i.e. for 4216,4349 is 1
LCM of denominators i.e. for 850,6816 is 2896800.
Thus, GCF of Fractions is 1/2896800.Finally, GCF of Fractions for 4216/850, 4349/6816 is 1/2896800.