GCF of 3630/738, 8609/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3630/738, 8609/378 i.e 1/15498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3630/738, 8609/378.
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 3630/738,8609/378?
Given fractions are 3630/738,8609/378
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 3630/738,8609/378, numerators are 3630,8609
Denominators are 738,378
The GCF of 3630,8609 is 1 .
LCM of 738,378 is 15498.
The greatest common factor of 3630/738,8609/378 = [GCF of 3630,8609]/[LCM of 738,378]= 1/15498
Therefore, the GCF of 3630/738,8609/378 is 1/15498.
To find the highest common factor of 3630,8609, we have to find the factors of both numbers and list the highest common factor.
The factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
The factors of 8609 are 1, 8609
The HCF of 3630,8609 is 1.
Lets's calculate GCF of 3630,8609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3630,8609 By Matching Biggest Common Factor Method
Now, list down the factors of 3630
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Now, list down the factors of 8609
:1,8609
Greatest Common Factor
We found the factors 3630,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 3630,8609 is 1.
Lets's calculate LCM of 738,378
| 2 | 738, 378 |
| 3 | 369, 189 |
| 3 | 123, 63 |
| 41, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 21 = 15498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15498
Therefore, the GCF of Fractions 3630/738,8609/378 is 1/15498
Least Common Multiple of 738,378 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 738,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,378) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(738,378) x common factors =18 x 1 = 18
LCM(738,378) = ( 738 × 378 ) / 18
LCM(738,378) = 278964 / 18
LCM(738,378) = 15498
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FAQs on GCF of Fractions of 3630/738, 8609/378
1. What is the HCF of 3630,8609?
The HCF of 3630,8609 is 1
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 3630/738, 8609/378?
Answer: GCF of Numerators as per given numbers 3630/738, 8609/378 is
GCF of Numerators i.e. for 3630,8609 is 1
LCM of denominators i.e. for 738,378 is 15498.
Thus, GCF of Fractions is 1/15498.Finally, GCF of Fractions for 3630/738, 8609/378 is 1/15498.