GCF of 4300/297, 8016/4282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4300/297, 8016/4282 i.e 4/1271754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4300/297, 8016/4282.
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 4300/297,8016/4282?
Given fractions are 4300/297,8016/4282
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 4300/297,8016/4282, numerators are 4300,8016
Denominators are 297,4282
The GCF of 4300,8016 is 4 .
LCM of 297,4282 is 1271754.
The greatest common factor of 4300/297,8016/4282 = [GCF of 4300,8016]/[LCM of 297,4282]= 4/1271754
Therefore, the GCF of 4300/297,8016/4282 is 4/1271754.
To find the highest common factor of 4300,8016, we have to find the factors of both numbers and list the highest common factor.
The factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
The factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016
The HCF of 4300,8016 is 4.
Lets's calculate GCF of 4300,8016
| 2 | 4300, 8016 |
| 2 | 2150, 4008 |
| 1075, 2004 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4300,8016 By Matching Biggest Common Factor Method
Now, list down the factors of 4300
:1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Now, list down the factors of 8016
:1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016
Greatest Common Factor
We found the factors 4300,8016 . The biggest common factor number is the GCF number.
So the greatest common factor 4300,8016 is 4.
Lets's calculate LCM of 297,4282
Given numbers has no common factors except 1. So, there LCM is their product i.e 1271754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1271754
Therefore, the GCF of Fractions 4300/297,8016/4282 is 4/1271754
Least Common Multiple of 297,4282 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 297,4282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,4282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,4282) x common factors =1 x 1 = 1
LCM(297,4282) = ( 297 × 4282 ) / 1
LCM(297,4282) = 1271754 / 1
LCM(297,4282) = 1271754
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FAQs on GCF of Fractions of 4300/297, 8016/4282
1. What is the HCF of 4300,8016?
The HCF of 4300,8016 is 4
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 4300/297, 8016/4282?
Answer: GCF of Numerators as per given numbers 4300/297, 8016/4282 is
GCF of Numerators i.e. for 4300,8016 is 4
LCM of denominators i.e. for 297,4282 is 1271754.
Thus, GCF of Fractions is 4/1271754.Finally, GCF of Fractions for 4300/297, 8016/4282 is 4/1271754.