GCF of 3546/449, 1591/2632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3546/449, 1591/2632 i.e 1/1181768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3546/449, 1591/2632.
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 3546/449,1591/2632?
Given fractions are 3546/449,1591/2632
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 3546/449,1591/2632, numerators are 3546,1591
Denominators are 449,2632
The GCF of 3546,1591 is 1 .
LCM of 449,2632 is 1181768.
The greatest common factor of 3546/449,1591/2632 = [GCF of 3546,1591]/[LCM of 449,2632]= 1/1181768
Therefore, the GCF of 3546/449,1591/2632 is 1/1181768.
To find the highest common factor of 3546,1591, we have to find the factors of both numbers and list the highest common factor.
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The factors of 1591 are 1, 37, 43, 1591
The HCF of 3546,1591 is 1.
Lets's calculate GCF of 3546,1591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3546,1591 By Matching Biggest Common Factor Method
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Now, list down the factors of 1591
:1,37,43,1591
Greatest Common Factor
We found the factors 3546,1591 . The biggest common factor number is the GCF number.
So the greatest common factor 3546,1591 is 1.
Lets's calculate LCM of 449,2632
Given numbers has no common factors except 1. So, there LCM is their product i.e 1181768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1181768
Therefore, the GCF of Fractions 3546/449,1591/2632 is 1/1181768
Least Common Multiple of 449,2632 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 449,2632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,2632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,2632) x common factors =1 x 1 = 1
LCM(449,2632) = ( 449 × 2632 ) / 1
LCM(449,2632) = 1181768 / 1
LCM(449,2632) = 1181768
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FAQs on GCF of Fractions of 3546/449, 1591/2632
1. What is the HCF of 3546,1591?
The HCF of 3546,1591 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 3546/449, 1591/2632?
Answer: GCF of Numerators as per given numbers 3546/449, 1591/2632 is
GCF of Numerators i.e. for 3546,1591 is 1
LCM of denominators i.e. for 449,2632 is 1181768.
Thus, GCF of Fractions is 1/1181768.Finally, GCF of Fractions for 3546/449, 1591/2632 is 1/1181768.