GCF of 8414/721, 8324/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8414/721, 8324/856 i.e 2/617176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8414/721, 8324/856.
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 8414/721,8324/856?
Given fractions are 8414/721,8324/856
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 8414/721,8324/856, numerators are 8414,8324
Denominators are 721,856
The GCF of 8414,8324 is 2 .
LCM of 721,856 is 617176.
The greatest common factor of 8414/721,8324/856 = [GCF of 8414,8324]/[LCM of 721,856]= 2/617176
Therefore, the GCF of 8414/721,8324/856 is 2/617176.
To find the highest common factor of 8414,8324, we have to find the factors of both numbers and list the highest common factor.
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The factors of 8324 are 1, 2, 4, 2081, 4162, 8324
The HCF of 8414,8324 is 2.
Lets's calculate GCF of 8414,8324
| 2 | 8414, 8324 |
| 4207, 4162 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8414,8324 By Matching Biggest Common Factor Method
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Now, list down the factors of 8324
:1,2,4,2081,4162,8324
Greatest Common Factor
We found the factors 8414,8324 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,8324 is 2.
Lets's calculate LCM of 721,856
Given numbers has no common factors except 1. So, there LCM is their product i.e 617176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/617176
Therefore, the GCF of Fractions 8414/721,8324/856 is 2/617176
Least Common Multiple of 721,856 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 721,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,856) x common factors =1 x 1 = 1
LCM(721,856) = ( 721 × 856 ) / 1
LCM(721,856) = 617176 / 1
LCM(721,856) = 617176
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FAQs on GCF of Fractions of 8414/721, 8324/856
1. What is the HCF of 8414,8324?
The HCF of 8414,8324 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 8414/721, 8324/856?
Answer: GCF of Numerators as per given numbers 8414/721, 8324/856 is
GCF of Numerators i.e. for 8414,8324 is 2
LCM of denominators i.e. for 721,856 is 617176.
Thus, GCF of Fractions is 2/617176.Finally, GCF of Fractions for 8414/721, 8324/856 is 2/617176.