GCF of 8016/316, 7275/9300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8016/316, 7275/9300 i.e 3/734700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8016/316, 7275/9300.
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 8016/316,7275/9300?
Given fractions are 8016/316,7275/9300
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 8016/316,7275/9300, numerators are 8016,7275
Denominators are 316,9300
The GCF of 8016,7275 is 3 .
LCM of 316,9300 is 734700.
The greatest common factor of 8016/316,7275/9300 = [GCF of 8016,7275]/[LCM of 316,9300]= 3/734700
Therefore, the GCF of 8016/316,7275/9300 is 3/734700.
To find the highest common factor of 8016,7275, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275
The HCF of 8016,7275 is 3.
Lets's calculate GCF of 8016,7275
| 3 | 8016, 7275 |
| 2672, 2425 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8016,7275 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7275
:1,3,5,15,25,75,97,291,485,1455,2425,7275
Greatest Common Factor
We found the factors 8016,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 8016,7275 is 3.
Lets's calculate LCM of 316,9300
| 2 | 316, 9300 |
| 2 | 158, 4650 |
| 79, 2325 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 2325 = 734700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/734700
Therefore, the GCF of Fractions 8016/316,7275/9300 is 3/734700
Least Common Multiple of 316,9300 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 316,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,9300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,9300) x common factors =4 x 1 = 4
LCM(316,9300) = ( 316 × 9300 ) / 4
LCM(316,9300) = 2938800 / 4
LCM(316,9300) = 734700
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FAQs on GCF of Fractions of 8016/316, 7275/9300
1. What is the HCF of 8016,7275?
The HCF of 8016,7275 is 3
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 8016/316, 7275/9300?
Answer: GCF of Numerators as per given numbers 8016/316, 7275/9300 is
GCF of Numerators i.e. for 8016,7275 is 3
LCM of denominators i.e. for 316,9300 is 734700.
Thus, GCF of Fractions is 3/734700.Finally, GCF of Fractions for 8016/316, 7275/9300 is 3/734700.