GCF of 451/987, 546/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/987, 546/488 i.e 1/481656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/987, 546/488.
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 451/987,546/488?
Given fractions are 451/987,546/488
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 451/987,546/488, numerators are 451,546
Denominators are 987,488
The GCF of 451,546 is 1 .
LCM of 987,488 is 481656.
The greatest common factor of 451/987,546/488 = [GCF of 451,546]/[LCM of 987,488]= 1/481656
Therefore, the GCF of 451/987,546/488 is 1/481656.
To find the highest common factor of 451,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 451,546 is 1.
Lets's calculate GCF of 451,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 451,546 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 451,546 . The biggest common factor number is the GCF number.
So the greatest common factor 451,546 is 1.
Lets's calculate LCM of 987,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 481656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481656
Therefore, the GCF of Fractions 451/987,546/488 is 1/481656
Least Common Multiple of 987,488 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 987,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,488) x common factors =1 x 1 = 1
LCM(987,488) = ( 987 × 488 ) / 1
LCM(987,488) = 481656 / 1
LCM(987,488) = 481656
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FAQs on GCF of Fractions of 451/987, 546/488
1. What is the HCF of 451,546?
The HCF of 451,546 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 451/987, 546/488?
Answer: GCF of Numerators as per given numbers 451/987, 546/488 is
GCF of Numerators i.e. for 451,546 is 1
LCM of denominators i.e. for 987,488 is 481656.
Thus, GCF of Fractions is 1/481656.Finally, GCF of Fractions for 451/987, 546/488 is 1/481656.