GCF of 8630/642, 3630/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8630/642, 3630/621 i.e 10/132894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8630/642, 3630/621.
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 8630/642,3630/621?
Given fractions are 8630/642,3630/621
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 8630/642,3630/621, numerators are 8630,3630
Denominators are 642,621
The GCF of 8630,3630 is 10 .
LCM of 642,621 is 132894.
The greatest common factor of 8630/642,3630/621 = [GCF of 8630,3630]/[LCM of 642,621]= 10/132894
Therefore, the GCF of 8630/642,3630/621 is 10/132894.
To find the highest common factor of 8630,3630, we have to find the factors of both numbers and list the highest common factor.
The factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630
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 HCF of 8630,3630 is 10.
Lets's calculate GCF of 8630,3630
| 2 | 8630, 3630 |
| 5 | 4315, 1815 |
| 863, 363 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8630,3630 By Matching Biggest Common Factor Method
Now, list down the factors of 8630
:1,2,5,10,863,1726,4315,8630
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
Greatest Common Factor
We found the factors 8630,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 8630,3630 is 10.
Lets's calculate LCM of 642,621
| 3 | 642, 621 |
| 214, 207 |
∴ So the LCM of the given numbers is 3 x 214 x 207 = 132894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/132894
Therefore, the GCF of Fractions 8630/642,3630/621 is 10/132894
Least Common Multiple of 642,621 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 642,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,621) x common factors =3 x 1 = 3
LCM(642,621) = ( 642 × 621 ) / 3
LCM(642,621) = 398682 / 3
LCM(642,621) = 132894
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FAQs on GCF of Fractions of 8630/642, 3630/621
1. What is the HCF of 8630,3630?
The HCF of 8630,3630 is 10
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 8630/642, 3630/621?
Answer: GCF of Numerators as per given numbers 8630/642, 3630/621 is
GCF of Numerators i.e. for 8630,3630 is 10
LCM of denominators i.e. for 642,621 is 132894.
Thus, GCF of Fractions is 10/132894.Finally, GCF of Fractions for 8630/642, 3630/621 is 10/132894.