GCF of 4437/636, 9435/3045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4437/636, 9435/3045 i.e 51/645540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4437/636, 9435/3045.
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 4437/636,9435/3045?
Given fractions are 4437/636,9435/3045
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 4437/636,9435/3045, numerators are 4437,9435
Denominators are 636,3045
The GCF of 4437,9435 is 51 .
LCM of 636,3045 is 645540.
The greatest common factor of 4437/636,9435/3045 = [GCF of 4437,9435]/[LCM of 636,3045]= 51/645540
Therefore, the GCF of 4437/636,9435/3045 is 51/645540.
To find the highest common factor of 4437,9435, we have to find the factors of both numbers and list the highest common factor.
The factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437
The factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435
The HCF of 4437,9435 is 51.
Lets's calculate GCF of 4437,9435
| 3 | 4437, 9435 |
| 17 | 1479, 3145 |
| 87, 185 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 4437,9435 By Matching Biggest Common Factor Method
Now, list down the factors of 4437
:1,3,9,17,29,51,87,153,261,493,1479,4437
Now, list down the factors of 9435
:1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Greatest Common Factor
We found the factors 4437,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 4437,9435 is 51.
Lets's calculate LCM of 636,3045
| 3 | 636, 3045 |
| 212, 1015 |
∴ So the LCM of the given numbers is 3 x 212 x 1015 = 645540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/645540
Therefore, the GCF of Fractions 4437/636,9435/3045 is 51/645540
Least Common Multiple of 636,3045 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 636,3045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3045) x common factors =3 x 1 = 3
LCM(636,3045) = ( 636 × 3045 ) / 3
LCM(636,3045) = 1936620 / 3
LCM(636,3045) = 645540
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FAQs on GCF of Fractions of 4437/636, 9435/3045
1. What is the HCF of 4437,9435?
The HCF of 4437,9435 is 51
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 4437/636, 9435/3045?
Answer: GCF of Numerators as per given numbers 4437/636, 9435/3045 is
GCF of Numerators i.e. for 4437,9435 is 51
LCM of denominators i.e. for 636,3045 is 645540.
Thus, GCF of Fractions is 51/645540.Finally, GCF of Fractions for 4437/636, 9435/3045 is 51/645540.