GCF of 1576/311, 8414/8349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1576/311, 8414/8349 i.e 2/2596539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1576/311, 8414/8349.
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 1576/311,8414/8349?
Given fractions are 1576/311,8414/8349
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 1576/311,8414/8349, numerators are 1576,8414
Denominators are 311,8349
The GCF of 1576,8414 is 2 .
LCM of 311,8349 is 2596539.
The greatest common factor of 1576/311,8414/8349 = [GCF of 1576,8414]/[LCM of 311,8349]= 2/2596539
Therefore, the GCF of 1576/311,8414/8349 is 2/2596539.
To find the highest common factor of 1576,8414, we have to find the factors of both numbers and list the highest common factor.
The factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The HCF of 1576,8414 is 2.
Lets's calculate GCF of 1576,8414
| 2 | 1576, 8414 |
| 788, 4207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1576,8414 By Matching Biggest Common Factor Method
Now, list down the factors of 1576
:1,2,4,8,197,394,788,1576
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Greatest Common Factor
We found the factors 1576,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 1576,8414 is 2.
Lets's calculate LCM of 311,8349
Given numbers has no common factors except 1. So, there LCM is their product i.e 2596539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2596539
Therefore, the GCF of Fractions 1576/311,8414/8349 is 2/2596539
Least Common Multiple of 311,8349 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 311,8349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,8349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,8349) x common factors =1 x 1 = 1
LCM(311,8349) = ( 311 × 8349 ) / 1
LCM(311,8349) = 2596539 / 1
LCM(311,8349) = 2596539
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1576/311, 8414/8349
1. What is the HCF of 1576,8414?
The HCF of 1576,8414 is 2
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 1576/311, 8414/8349?
Answer: GCF of Numerators as per given numbers 1576/311, 8414/8349 is
GCF of Numerators i.e. for 1576,8414 is 2
LCM of denominators i.e. for 311,8349 is 2596539.
Thus, GCF of Fractions is 2/2596539.Finally, GCF of Fractions for 1576/311, 8414/8349 is 2/2596539.