GCF of 212/613, 1714/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 212/613, 1714/729 i.e 2/446877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 212/613, 1714/729.
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 212/613,1714/729?
Given fractions are 212/613,1714/729
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 212/613,1714/729, numerators are 212,1714
Denominators are 613,729
The GCF of 212,1714 is 2 .
LCM of 613,729 is 446877.
The greatest common factor of 212/613,1714/729 = [GCF of 212,1714]/[LCM of 613,729]= 2/446877
Therefore, the GCF of 212/613,1714/729 is 2/446877.
To find the highest common factor of 212,1714, we have to find the factors of both numbers and list the highest common factor.
The factors of 212 are 1, 2, 4, 53, 106, 212
The factors of 1714 are 1, 2, 857, 1714
The HCF of 212,1714 is 2.
Lets's calculate GCF of 212,1714
| 2 | 212, 1714 |
| 106, 857 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 212,1714 By Matching Biggest Common Factor Method
Now, list down the factors of 212
:1,2,4,53,106,212
Now, list down the factors of 1714
:1,2,857,1714
Greatest Common Factor
We found the factors 212,1714 . The biggest common factor number is the GCF number.
So the greatest common factor 212,1714 is 2.
Lets's calculate LCM of 613,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 446877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/446877
Therefore, the GCF of Fractions 212/613,1714/729 is 2/446877
Least Common Multiple of 613,729 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 613,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,729) x common factors =1 x 1 = 1
LCM(613,729) = ( 613 × 729 ) / 1
LCM(613,729) = 446877 / 1
LCM(613,729) = 446877
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FAQs on GCF of Fractions of 212/613, 1714/729
1. What is the HCF of 212,1714?
The HCF of 212,1714 is 2
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 212/613, 1714/729?
Answer: GCF of Numerators as per given numbers 212/613, 1714/729 is
GCF of Numerators i.e. for 212,1714 is 2
LCM of denominators i.e. for 613,729 is 446877.
Thus, GCF of Fractions is 2/446877.Finally, GCF of Fractions for 212/613, 1714/729 is 2/446877.