GCF of 8462/816, 8550/1466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8462/816, 8550/1466 i.e 2/598128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8462/816, 8550/1466.
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 8462/816,8550/1466?
Given fractions are 8462/816,8550/1466
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 8462/816,8550/1466, numerators are 8462,8550
Denominators are 816,1466
The GCF of 8462,8550 is 2 .
LCM of 816,1466 is 598128.
The greatest common factor of 8462/816,8550/1466 = [GCF of 8462,8550]/[LCM of 816,1466]= 2/598128
Therefore, the GCF of 8462/816,8550/1466 is 2/598128.
To find the highest common factor of 8462,8550, we have to find the factors of both numbers and list the highest common factor.
The factors of 8462 are 1, 2, 4231, 8462
The factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550
The HCF of 8462,8550 is 2.
Lets's calculate GCF of 8462,8550
| 2 | 8462, 8550 |
| 4231, 4275 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8462,8550 By Matching Biggest Common Factor Method
Now, list down the factors of 8462
:1,2,4231,8462
Now, list down the factors of 8550
:1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550
Greatest Common Factor
We found the factors 8462,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 8462,8550 is 2.
Lets's calculate LCM of 816,1466
| 2 | 816, 1466 |
| 408, 733 |
∴ So the LCM of the given numbers is 2 x 408 x 733 = 598128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/598128
Therefore, the GCF of Fractions 8462/816,8550/1466 is 2/598128
Least Common Multiple of 816,1466 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 816,1466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,1466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,1466) x common factors =2 x 1 = 2
LCM(816,1466) = ( 816 × 1466 ) / 2
LCM(816,1466) = 1196256 / 2
LCM(816,1466) = 598128
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FAQs on GCF of Fractions of 8462/816, 8550/1466
1. What is the HCF of 8462,8550?
The HCF of 8462,8550 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 8462/816, 8550/1466?
Answer: GCF of Numerators as per given numbers 8462/816, 8550/1466 is
GCF of Numerators i.e. for 8462,8550 is 2
LCM of denominators i.e. for 816,1466 is 598128.
Thus, GCF of Fractions is 2/598128.Finally, GCF of Fractions for 8462/816, 8550/1466 is 2/598128.