GCF of 221/517, 729/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 221/517, 729/678 i.e 1/350526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 221/517, 729/678.
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 221/517,729/678?
Given fractions are 221/517,729/678
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 221/517,729/678, numerators are 221,729
Denominators are 517,678
The GCF of 221,729 is 1 .
LCM of 517,678 is 350526.
The greatest common factor of 221/517,729/678 = [GCF of 221,729]/[LCM of 517,678]= 1/350526
Therefore, the GCF of 221/517,729/678 is 1/350526.
To find the highest common factor of 221,729, we have to find the factors of both numbers and list the highest common factor.
The factors of 221 are 1, 13, 17, 221
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The HCF of 221,729 is 1.
Lets's calculate GCF of 221,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 221,729 By Matching Biggest Common Factor Method
Now, list down the factors of 221
:1,13,17,221
Now, list down the factors of 729
:1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 221,729 . The biggest common factor number is the GCF number.
So the greatest common factor 221,729 is 1.
Lets's calculate LCM of 517,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 350526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350526
Therefore, the GCF of Fractions 221/517,729/678 is 1/350526
Least Common Multiple of 517,678 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 517,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,678) x common factors =1 x 1 = 1
LCM(517,678) = ( 517 × 678 ) / 1
LCM(517,678) = 350526 / 1
LCM(517,678) = 350526
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FAQs on GCF of Fractions of 221/517, 729/678
1. What is the HCF of 221,729?
The HCF of 221,729 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 221/517, 729/678?
Answer: GCF of Numerators as per given numbers 221/517, 729/678 is
GCF of Numerators i.e. for 221,729 is 1
LCM of denominators i.e. for 517,678 is 350526.
Thus, GCF of Fractions is 1/350526.Finally, GCF of Fractions for 221/517, 729/678 is 1/350526.