GCF of 18/670, 259/660, 227/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/670, 259/660, 227/638 i.e 1/1282380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/670, 259/660, 227/638.
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 18/670,259/660,227/638?
Given fractions are 18/670,259/660,227/638
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 18/670,259/660,227/638, numerators are 18,259,227
Denominators are 670,660,638
The GCF of 18,259,227 is 1 .
LCM of 670,660,638 is 1282380.
The greatest common factor of 18/670,259/660,227/638 = [GCF of 18,259,227]/[LCM of 670,660,638]= 1/1282380
Therefore, the GCF of 18/670,259/660,227/638 is 1/1282380.
To find the highest common factor of 18,259,227, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 259 are 1, 7, 37, 259
The factors of 227 are 1, 227
The HCF of 18,259,227 is 1.
Lets's calculate GCF of 18,259,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,259,227 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 259
:1,7,37,259
Now, list down the factors of 227
:1,227
Greatest Common Factor
We found the factors 18,259,227 . The biggest common factor number is the GCF number.
So the greatest common factor 18,259,227 is 1.
Lets's calculate LCM of 670,660,638
| 2 | 670, 660, 638 |
| 5 | 335, 330, 319 |
| 11 | 67, 66, 319 |
| 67, 6, 29 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 67 x 6 x 29 = 1282380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1282380
Therefore, the GCF of Fractions 18/670,259/660,227/638 is 1/1282380
Least Common Multiple of 670,660,638 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 670,660,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,660,638) = 2
common factors(in case of two or more numbers have common factors) = 110
GCF(670,660,638) x common factors =2 x 110 = 220
LCM(670,660,638) = ( 670 × 660 × 638 ) / 220
LCM(670,660,638) = 282123600 / 220
LCM(670,660,638) = 1282380
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FAQs on GCF of Fractions of 18/670, 259/660, 227/638
1. What is the HCF of 18,259,227?
The HCF of 18,259,227 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 18/670, 259/660, 227/638?
Answer: GCF of Numerators as per given numbers 18/670, 259/660, 227/638 is
GCF of Numerators i.e. for 18,259,227 is 1
LCM of denominators i.e. for 670,660,638 is 1282380.
Thus, GCF of Fractions is 1/1282380.Finally, GCF of Fractions for 18/670, 259/660, 227/638 is 1/1282380.