GCF of 636/21, 674/30, 345/27
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 636/21, 674/30, 345/27 i.e 1/1890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 636/21, 674/30, 345/27.
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 636/21,674/30,345/27?
Given fractions are 636/21,674/30,345/27
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 636/21,674/30,345/27, numerators are 636,674,345
Denominators are 21,30,27
The GCF of 636,674,345 is 1 .
LCM of 21,30,27 is 1890.
The greatest common factor of 636/21,674/30,345/27 = [GCF of 636,674,345]/[LCM of 21,30,27]= 1/1890
Therefore, the GCF of 636/21,674/30,345/27 is 1/1890.
To find the highest common factor of 636,674,345, we have to find the factors of both numbers and list the highest common factor.
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The factors of 674 are 1, 2, 337, 674
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The HCF of 636,674,345 is 1.
Lets's calculate GCF of 636,674,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 636,674,345 By Matching Biggest Common Factor Method
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 636,674,345 . The biggest common factor number is the GCF number.
So the greatest common factor 636,674,345 is 1.
Lets's calculate LCM of 21,30,27
| 3 | 21, 30, 27 |
| 7, 10, 9 |
∴ So the LCM of the given numbers is 3 x 7 x 10 x 9 = 1890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1890
Therefore, the GCF of Fractions 636/21,674/30,345/27 is 1/1890
Least Common Multiple of 21,30,27 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 21,30,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,30,27) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(21,30,27) x common factors =3 x 3 = 9
LCM(21,30,27) = ( 21 × 30 × 27 ) / 9
LCM(21,30,27) = 17010 / 9
LCM(21,30,27) = 1890
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FAQs on GCF of Fractions of 636/21, 674/30, 345/27
1. What is the HCF of 636,674,345?
The HCF of 636,674,345 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 636/21, 674/30, 345/27?
Answer: GCF of Numerators as per given numbers 636/21, 674/30, 345/27 is
GCF of Numerators i.e. for 636,674,345 is 1
LCM of denominators i.e. for 21,30,27 is 1890.
Thus, GCF of Fractions is 1/1890.Finally, GCF of Fractions for 636/21, 674/30, 345/27 is 1/1890.