GCF of 787/72, 729/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 787/72, 729/825 i.e 1/19800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 787/72, 729/825.
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 787/72,729/825?
Given fractions are 787/72,729/825
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 787/72,729/825, numerators are 787,729
Denominators are 72,825
The GCF of 787,729 is 1 .
LCM of 72,825 is 19800.
The greatest common factor of 787/72,729/825 = [GCF of 787,729]/[LCM of 72,825]= 1/19800
Therefore, the GCF of 787/72,729/825 is 1/19800.
To find the highest common factor of 787,729, we have to find the factors of both numbers and list the highest common factor.
The factors of 787 are 1, 787
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The HCF of 787,729 is 1.
Lets's calculate GCF of 787,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 787,729 By Matching Biggest Common Factor Method
Now, list down the factors of 787
:1,787
Now, list down the factors of 729
:1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 787,729 . The biggest common factor number is the GCF number.
So the greatest common factor 787,729 is 1.
Lets's calculate LCM of 72,825
| 3 | 72, 825 |
| 24, 275 |
∴ So the LCM of the given numbers is 3 x 24 x 275 = 19800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19800
Therefore, the GCF of Fractions 787/72,729/825 is 1/19800
Least Common Multiple of 72,825 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 72,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,825) x common factors =3 x 1 = 3
LCM(72,825) = ( 72 × 825 ) / 3
LCM(72,825) = 59400 / 3
LCM(72,825) = 19800
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FAQs on GCF of Fractions of 787/72, 729/825
1. What is the HCF of 787,729?
The HCF of 787,729 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 787/72, 729/825?
Answer: GCF of Numerators as per given numbers 787/72, 729/825 is
GCF of Numerators i.e. for 787,729 is 1
LCM of denominators i.e. for 72,825 is 19800.
Thus, GCF of Fractions is 1/19800.Finally, GCF of Fractions for 787/72, 729/825 is 1/19800.