GCF of 6362/600, 8316/5905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6362/600, 8316/5905 i.e 2/708600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6362/600, 8316/5905.
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 6362/600,8316/5905?
Given fractions are 6362/600,8316/5905
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 6362/600,8316/5905, numerators are 6362,8316
Denominators are 600,5905
The GCF of 6362,8316 is 2 .
LCM of 600,5905 is 708600.
The greatest common factor of 6362/600,8316/5905 = [GCF of 6362,8316]/[LCM of 600,5905]= 2/708600
Therefore, the GCF of 6362/600,8316/5905 is 2/708600.
To find the highest common factor of 6362,8316, we have to find the factors of both numbers and list the highest common factor.
The factors of 6362 are 1, 2, 3181, 6362
The factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316
The HCF of 6362,8316 is 2.
Lets's calculate GCF of 6362,8316
| 2 | 6362, 8316 |
| 3181, 4158 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6362,8316 By Matching Biggest Common Factor Method
Now, list down the factors of 6362
:1,2,3181,6362
Now, list down the factors of 8316
:1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316
Greatest Common Factor
We found the factors 6362,8316 . The biggest common factor number is the GCF number.
So the greatest common factor 6362,8316 is 2.
Lets's calculate LCM of 600,5905
| 5 | 600, 5905 |
| 120, 1181 |
∴ So the LCM of the given numbers is 5 x 120 x 1181 = 708600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/708600
Therefore, the GCF of Fractions 6362/600,8316/5905 is 2/708600
Least Common Multiple of 600,5905 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 600,5905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,5905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(600,5905) x common factors =5 x 1 = 5
LCM(600,5905) = ( 600 × 5905 ) / 5
LCM(600,5905) = 3543000 / 5
LCM(600,5905) = 708600
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FAQs on GCF of Fractions of 6362/600, 8316/5905
1. What is the HCF of 6362,8316?
The HCF of 6362,8316 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 6362/600, 8316/5905?
Answer: GCF of Numerators as per given numbers 6362/600, 8316/5905 is
GCF of Numerators i.e. for 6362,8316 is 2
LCM of denominators i.e. for 600,5905 is 708600.
Thus, GCF of Fractions is 2/708600.Finally, GCF of Fractions for 6362/600, 8316/5905 is 2/708600.