GCF of 618/87, 636/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/87, 636/819 i.e 6/23751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/87, 636/819.
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 618/87,636/819?
Given fractions are 618/87,636/819
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 618/87,636/819, numerators are 618,636
Denominators are 87,819
The GCF of 618,636 is 6 .
LCM of 87,819 is 23751.
The greatest common factor of 618/87,636/819 = [GCF of 618,636]/[LCM of 87,819]= 6/23751
Therefore, the GCF of 618/87,636/819 is 6/23751.
To find the highest common factor of 618,636, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The HCF of 618,636 is 6.
Lets's calculate GCF of 618,636
| 2 | 618, 636 |
| 3 | 309, 318 |
| 103, 106 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 618,636 By Matching Biggest Common Factor Method
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 618,636 . The biggest common factor number is the GCF number.
So the greatest common factor 618,636 is 6.
Lets's calculate LCM of 87,819
| 3 | 87, 819 |
| 29, 273 |
∴ So the LCM of the given numbers is 3 x 29 x 273 = 23751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/23751
Therefore, the GCF of Fractions 618/87,636/819 is 6/23751
Least Common Multiple of 87,819 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 87,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,819) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,819) x common factors =3 x 1 = 3
LCM(87,819) = ( 87 × 819 ) / 3
LCM(87,819) = 71253 / 3
LCM(87,819) = 23751
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FAQs on GCF of Fractions of 618/87, 636/819
1. What is the HCF of 618,636?
The HCF of 618,636 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 618/87, 636/819?
Answer: GCF of Numerators as per given numbers 618/87, 636/819 is
GCF of Numerators i.e. for 618,636 is 6
LCM of denominators i.e. for 87,819 is 23751.
Thus, GCF of Fractions is 6/23751.Finally, GCF of Fractions for 618/87, 636/819 is 6/23751.