GCF of 243/682, 276/600, 620/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 243/682, 276/600, 620/418 i.e 1/3887400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 243/682, 276/600, 620/418.
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 243/682,276/600,620/418?
Given fractions are 243/682,276/600,620/418
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 243/682,276/600,620/418, numerators are 243,276,620
Denominators are 682,600,418
The GCF of 243,276,620 is 1 .
LCM of 682,600,418 is 3887400.
The greatest common factor of 243/682,276/600,620/418 = [GCF of 243,276,620]/[LCM of 682,600,418]= 1/3887400
Therefore, the GCF of 243/682,276/600,620/418 is 1/3887400.
To find the highest common factor of 243,276,620, we have to find the factors of both numbers and list the highest common factor.
The factors of 243 are 1, 3, 9, 27, 81, 243
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The HCF of 243,276,620 is 1.
Lets's calculate GCF of 243,276,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 243,276,620 By Matching Biggest Common Factor Method
Now, list down the factors of 243
:1,3,9,27,81,243
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 243,276,620 . The biggest common factor number is the GCF number.
So the greatest common factor 243,276,620 is 1.
Lets's calculate LCM of 682,600,418
| 2 | 682, 600, 418 |
| 11 | 341, 300, 209 |
| 31, 300, 19 |
∴ So the LCM of the given numbers is 2 x 11 x 31 x 300 x 19 = 3887400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3887400
Therefore, the GCF of Fractions 243/682,276/600,620/418 is 1/3887400
Least Common Multiple of 682,600,418 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 682,600,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,600,418) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(682,600,418) x common factors =2 x 22 = 44
LCM(682,600,418) = ( 682 × 600 × 418 ) / 44
LCM(682,600,418) = 171045600 / 44
LCM(682,600,418) = 3887400
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FAQs on GCF of Fractions of 243/682, 276/600, 620/418
1. What is the HCF of 243,276,620?
The HCF of 243,276,620 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 243/682, 276/600, 620/418?
Answer: GCF of Numerators as per given numbers 243/682, 276/600, 620/418 is
GCF of Numerators i.e. for 243,276,620 is 1
LCM of denominators i.e. for 682,600,418 is 3887400.
Thus, GCF of Fractions is 1/3887400.Finally, GCF of Fractions for 243/682, 276/600, 620/418 is 1/3887400.