GCF of 724/269, 1681/661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/269, 1681/661 i.e 1/177809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/269, 1681/661.
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 724/269,1681/661?
Given fractions are 724/269,1681/661
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 724/269,1681/661, numerators are 724,1681
Denominators are 269,661
The GCF of 724,1681 is 1 .
LCM of 269,661 is 177809.
The greatest common factor of 724/269,1681/661 = [GCF of 724,1681]/[LCM of 269,661]= 1/177809
Therefore, the GCF of 724/269,1681/661 is 1/177809.
To find the highest common factor of 724,1681, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 1681 are 1, 41, 1681
The HCF of 724,1681 is 1.
Lets's calculate GCF of 724,1681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 724,1681 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 1681
:1,41,1681
Greatest Common Factor
We found the factors 724,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 724,1681 is 1.
Lets's calculate LCM of 269,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 177809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177809
Therefore, the GCF of Fractions 724/269,1681/661 is 1/177809
Least Common Multiple of 269,661 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 269,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,661) x common factors =1 x 1 = 1
LCM(269,661) = ( 269 × 661 ) / 1
LCM(269,661) = 177809 / 1
LCM(269,661) = 177809
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FAQs on GCF of Fractions of 724/269, 1681/661
1. What is the HCF of 724,1681?
The HCF of 724,1681 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 724/269, 1681/661?
Answer: GCF of Numerators as per given numbers 724/269, 1681/661 is
GCF of Numerators i.e. for 724,1681 is 1
LCM of denominators i.e. for 269,661 is 177809.
Thus, GCF of Fractions is 1/177809.Finally, GCF of Fractions for 724/269, 1681/661 is 1/177809.