GCF of 729/83, 710/3787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 729/83, 710/3787 i.e 1/314321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/83, 710/3787.
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 729/83,710/3787?
Given fractions are 729/83,710/3787
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 729/83,710/3787, numerators are 729,710
Denominators are 83,3787
The GCF of 729,710 is 1 .
LCM of 83,3787 is 314321.
The greatest common factor of 729/83,710/3787 = [GCF of 729,710]/[LCM of 83,3787]= 1/314321
Therefore, the GCF of 729/83,710/3787 is 1/314321.
To find the highest common factor of 729,710, we have to find the factors of both numbers and list the highest common factor.
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The HCF of 729,710 is 1.
Lets's calculate GCF of 729,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 729,710 By Matching Biggest Common Factor Method
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 729,710 . The biggest common factor number is the GCF number.
So the greatest common factor 729,710 is 1.
Lets's calculate LCM of 83,3787
Given numbers has no common factors except 1. So, there LCM is their product i.e 314321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/314321
Therefore, the GCF of Fractions 729/83,710/3787 is 1/314321
Least Common Multiple of 83,3787 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 83,3787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,3787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,3787) x common factors =1 x 1 = 1
LCM(83,3787) = ( 83 × 3787 ) / 1
LCM(83,3787) = 314321 / 1
LCM(83,3787) = 314321
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FAQs on GCF of Fractions of 729/83, 710/3787
1. What is the HCF of 729,710?
The HCF of 729,710 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 729/83, 710/3787?
Answer: GCF of Numerators as per given numbers 729/83, 710/3787 is
GCF of Numerators i.e. for 729,710 is 1
LCM of denominators i.e. for 83,3787 is 314321.
Thus, GCF of Fractions is 1/314321.Finally, GCF of Fractions for 729/83, 710/3787 is 1/314321.