GCF of 43/682, 73/709, 918/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/682, 73/709, 918/954 i.e 1/230647626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/682, 73/709, 918/954.
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 43/682,73/709,918/954?
Given fractions are 43/682,73/709,918/954
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 43/682,73/709,918/954, numerators are 43,73,918
Denominators are 682,709,954
The GCF of 43,73,918 is 1 .
LCM of 682,709,954 is 230647626.
The greatest common factor of 43/682,73/709,918/954 = [GCF of 43,73,918]/[LCM of 682,709,954]= 1/230647626
Therefore, the GCF of 43/682,73/709,918/954 is 1/230647626.
To find the highest common factor of 43,73,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 73 are 1, 73
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 43,73,918 is 1.
Lets's calculate GCF of 43,73,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,73,918 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 73
:1,73
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 43,73,918 . The biggest common factor number is the GCF number.
So the greatest common factor 43,73,918 is 1.
Lets's calculate LCM of 682,709,954
| 2 | 682, 709, 954 |
| 341, 709, 477 |
∴ So the LCM of the given numbers is 2 x 341 x 709 x 477 = 230647626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230647626
Therefore, the GCF of Fractions 43/682,73/709,918/954 is 1/230647626
Least Common Multiple of 682,709,954 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 682,709,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,709,954) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(682,709,954) x common factors =1 x 2 = 2
LCM(682,709,954) = ( 682 × 709 × 954 ) / 2
LCM(682,709,954) = 461295252 / 2
LCM(682,709,954) = 230647626
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FAQs on GCF of Fractions of 43/682, 73/709, 918/954
1. What is the HCF of 43,73,918?
The HCF of 43,73,918 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 43/682, 73/709, 918/954?
Answer: GCF of Numerators as per given numbers 43/682, 73/709, 918/954 is
GCF of Numerators i.e. for 43,73,918 is 1
LCM of denominators i.e. for 682,709,954 is 230647626.
Thus, GCF of Fractions is 1/230647626.Finally, GCF of Fractions for 43/682, 73/709, 918/954 is 1/230647626.