GCF of 45/893, 574/472, 986/483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 45/893, 574/472, 986/483 i.e 1/203582568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/893, 574/472, 986/483.
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 45/893,574/472,986/483?
Given fractions are 45/893,574/472,986/483
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 45/893,574/472,986/483, numerators are 45,574,986
Denominators are 893,472,483
The GCF of 45,574,986 is 1 .
LCM of 893,472,483 is 203582568.
The greatest common factor of 45/893,574/472,986/483 = [GCF of 45,574,986]/[LCM of 893,472,483]= 1/203582568
Therefore, the GCF of 45/893,574/472,986/483 is 1/203582568.
To find the highest common factor of 45,574,986, we have to find the factors of both numbers and list the highest common factor.
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The HCF of 45,574,986 is 1.
Lets's calculate GCF of 45,574,986
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 45,574,986 By Matching Biggest Common Factor Method
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 45,574,986 . The biggest common factor number is the GCF number.
So the greatest common factor 45,574,986 is 1.
Lets's calculate LCM of 893,472,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 203582568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203582568
Therefore, the GCF of Fractions 45/893,574/472,986/483 is 1/203582568
Least Common Multiple of 893,472,483 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 893,472,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,472,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,472,483) x common factors =1 x 1 = 1
LCM(893,472,483) = ( 893 × 472 × 483 ) / 1
LCM(893,472,483) = 203582568 / 1
LCM(893,472,483) = 203582568
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FAQs on GCF of Fractions of 45/893, 574/472, 986/483
1. What is the HCF of 45,574,986?
The HCF of 45,574,986 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 45/893, 574/472, 986/483?
Answer: GCF of Numerators as per given numbers 45/893, 574/472, 986/483 is
GCF of Numerators i.e. for 45,574,986 is 1
LCM of denominators i.e. for 893,472,483 is 203582568.
Thus, GCF of Fractions is 1/203582568.Finally, GCF of Fractions for 45/893, 574/472, 986/483 is 1/203582568.