GCF of 9036/516, 6342/5262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9036/516, 6342/5262 i.e 6/452532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9036/516, 6342/5262.
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 9036/516,6342/5262?
Given fractions are 9036/516,6342/5262
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 9036/516,6342/5262, numerators are 9036,6342
Denominators are 516,5262
The GCF of 9036,6342 is 6 .
LCM of 516,5262 is 452532.
The greatest common factor of 9036/516,6342/5262 = [GCF of 9036,6342]/[LCM of 516,5262]= 6/452532
Therefore, the GCF of 9036/516,6342/5262 is 6/452532.
To find the highest common factor of 9036,6342, we have to find the factors of both numbers and list the highest common factor.
The factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036
The factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342
The HCF of 9036,6342 is 6.
Lets's calculate GCF of 9036,6342
| 2 | 9036, 6342 |
| 3 | 4518, 3171 |
| 1506, 1057 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9036,6342 By Matching Biggest Common Factor Method
Now, list down the factors of 9036
:1,2,3,4,6,9,12,18,36,251,502,753,1004,1506,2259,3012,4518,9036
Now, list down the factors of 6342
:1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342
Greatest Common Factor
We found the factors 9036,6342 . The biggest common factor number is the GCF number.
So the greatest common factor 9036,6342 is 6.
Lets's calculate LCM of 516,5262
| 2 | 516, 5262 |
| 3 | 258, 2631 |
| 86, 877 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 877 = 452532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/452532
Therefore, the GCF of Fractions 9036/516,6342/5262 is 6/452532
Least Common Multiple of 516,5262 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 516,5262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,5262) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,5262) x common factors =6 x 1 = 6
LCM(516,5262) = ( 516 × 5262 ) / 6
LCM(516,5262) = 2715192 / 6
LCM(516,5262) = 452532
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FAQs on GCF of Fractions of 9036/516, 6342/5262
1. What is the HCF of 9036,6342?
The HCF of 9036,6342 is 6
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 9036/516, 6342/5262?
Answer: GCF of Numerators as per given numbers 9036/516, 6342/5262 is
GCF of Numerators i.e. for 9036,6342 is 6
LCM of denominators i.e. for 516,5262 is 452532.
Thus, GCF of Fractions is 6/452532.Finally, GCF of Fractions for 9036/516, 6342/5262 is 6/452532.