GCF of 8637/324, 4518/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8637/324, 4518/654 i.e 3/35316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8637/324, 4518/654.
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 8637/324,4518/654?
Given fractions are 8637/324,4518/654
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 8637/324,4518/654, numerators are 8637,4518
Denominators are 324,654
The GCF of 8637,4518 is 3 .
LCM of 324,654 is 35316.
The greatest common factor of 8637/324,4518/654 = [GCF of 8637,4518]/[LCM of 324,654]= 3/35316
Therefore, the GCF of 8637/324,4518/654 is 3/35316.
To find the highest common factor of 8637,4518, we have to find the factors of both numbers and list the highest common factor.
The factors of 8637 are 1, 3, 2879, 8637
The factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518
The HCF of 8637,4518 is 3.
Lets's calculate GCF of 8637,4518
| 3 | 8637, 4518 |
| 2879, 1506 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8637,4518 By Matching Biggest Common Factor Method
Now, list down the factors of 8637
:1,3,2879,8637
Now, list down the factors of 4518
:1,2,3,6,9,18,251,502,753,1506,2259,4518
Greatest Common Factor
We found the factors 8637,4518 . The biggest common factor number is the GCF number.
So the greatest common factor 8637,4518 is 3.
Lets's calculate LCM of 324,654
| 2 | 324, 654 |
| 3 | 162, 327 |
| 54, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 54 x 109 = 35316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35316
Therefore, the GCF of Fractions 8637/324,4518/654 is 3/35316
Least Common Multiple of 324,654 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 324,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,654) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(324,654) x common factors =6 x 1 = 6
LCM(324,654) = ( 324 × 654 ) / 6
LCM(324,654) = 211896 / 6
LCM(324,654) = 35316
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FAQs on GCF of Fractions of 8637/324, 4518/654
1. What is the HCF of 8637,4518?
The HCF of 8637,4518 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 8637/324, 4518/654?
Answer: GCF of Numerators as per given numbers 8637/324, 4518/654 is
GCF of Numerators i.e. for 8637,4518 is 3
LCM of denominators i.e. for 324,654 is 35316.
Thus, GCF of Fractions is 3/35316.Finally, GCF of Fractions for 8637/324, 4518/654 is 3/35316.