GCF of 11/359, 640/954, 345/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/359, 640/954, 345/819 i.e 1/31166226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/359, 640/954, 345/819.
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 11/359,640/954,345/819?
Given fractions are 11/359,640/954,345/819
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 11/359,640/954,345/819, numerators are 11,640,345
Denominators are 359,954,819
The GCF of 11,640,345 is 1 .
LCM of 359,954,819 is 31166226.
The greatest common factor of 11/359,640/954,345/819 = [GCF of 11,640,345]/[LCM of 359,954,819]= 1/31166226
Therefore, the GCF of 11/359,640/954,345/819 is 1/31166226.
To find the highest common factor of 11,640,345, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The HCF of 11,640,345 is 1.
Lets's calculate GCF of 11,640,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,640,345 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 11,640,345 . The biggest common factor number is the GCF number.
So the greatest common factor 11,640,345 is 1.
Lets's calculate LCM of 359,954,819
| 3 | 359, 954, 819 |
| 3 | 359, 318, 273 |
| 359, 106, 91 |
∴ So the LCM of the given numbers is 3 x 3 x 359 x 106 x 91 = 31166226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31166226
Therefore, the GCF of Fractions 11/359,640/954,345/819 is 1/31166226
Least Common Multiple of 359,954,819 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 359,954,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,954,819) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(359,954,819) x common factors =1 x 9 = 9
LCM(359,954,819) = ( 359 × 954 × 819 ) / 9
LCM(359,954,819) = 280496034 / 9
LCM(359,954,819) = 31166226
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FAQs on GCF of Fractions of 11/359, 640/954, 345/819
1. What is the HCF of 11,640,345?
The HCF of 11,640,345 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 11/359, 640/954, 345/819?
Answer: GCF of Numerators as per given numbers 11/359, 640/954, 345/819 is
GCF of Numerators i.e. for 11,640,345 is 1
LCM of denominators i.e. for 359,954,819 is 31166226.
Thus, GCF of Fractions is 1/31166226.Finally, GCF of Fractions for 11/359, 640/954, 345/819 is 1/31166226.