GCF of 7290/729, 5211/5730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7290/729, 5211/5730 i.e 27/1392390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7290/729, 5211/5730.
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 7290/729,5211/5730?
Given fractions are 7290/729,5211/5730
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 7290/729,5211/5730, numerators are 7290,5211
Denominators are 729,5730
The GCF of 7290,5211 is 27 .
LCM of 729,5730 is 1392390.
The greatest common factor of 7290/729,5211/5730 = [GCF of 7290,5211]/[LCM of 729,5730]= 27/1392390
Therefore, the GCF of 7290/729,5211/5730 is 27/1392390.
To find the highest common factor of 7290,5211, we have to find the factors of both numbers and list the highest common factor.
The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The HCF of 7290,5211 is 27.
Lets's calculate GCF of 7290,5211
| 3 | 7290, 5211 |
| 3 | 2430, 1737 |
| 3 | 810, 579 |
| 270, 193 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 7290,5211 By Matching Biggest Common Factor Method
Now, list down the factors of 7290
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Greatest Common Factor
We found the factors 7290,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 7290,5211 is 27.
Lets's calculate LCM of 729,5730
| 3 | 729, 5730 |
| 243, 1910 |
∴ So the LCM of the given numbers is 3 x 243 x 1910 = 1392390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1392390
Therefore, the GCF of Fractions 7290/729,5211/5730 is 27/1392390
Least Common Multiple of 729,5730 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 729,5730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,5730) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,5730) x common factors =3 x 1 = 3
LCM(729,5730) = ( 729 × 5730 ) / 3
LCM(729,5730) = 4177170 / 3
LCM(729,5730) = 1392390
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FAQs on GCF of Fractions of 7290/729, 5211/5730
1. What is the HCF of 7290,5211?
The HCF of 7290,5211 is 27
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 7290/729, 5211/5730?
Answer: GCF of Numerators as per given numbers 7290/729, 5211/5730 is
GCF of Numerators i.e. for 7290,5211 is 27
LCM of denominators i.e. for 729,5730 is 1392390.
Thus, GCF of Fractions is 27/1392390.Finally, GCF of Fractions for 7290/729, 5211/5730 is 27/1392390.