GCF of 721/585, 849/720, 160/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 721/585, 849/720, 160/299 i.e 1/215280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 721/585, 849/720, 160/299.
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 721/585,849/720,160/299?
Given fractions are 721/585,849/720,160/299
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 721/585,849/720,160/299, numerators are 721,849,160
Denominators are 585,720,299
The GCF of 721,849,160 is 1 .
LCM of 585,720,299 is 215280.
The greatest common factor of 721/585,849/720,160/299 = [GCF of 721,849,160]/[LCM of 585,720,299]= 1/215280
Therefore, the GCF of 721/585,849/720,160/299 is 1/215280.
To find the highest common factor of 721,849,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 721 are 1, 7, 103, 721
The factors of 849 are 1, 3, 283, 849
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 721,849,160 is 1.
Lets's calculate GCF of 721,849,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 721,849,160 By Matching Biggest Common Factor Method
Now, list down the factors of 721
:1,7,103,721
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 721,849,160 . The biggest common factor number is the GCF number.
So the greatest common factor 721,849,160 is 1.
Lets's calculate LCM of 585,720,299
| 3 | 585, 720, 299 |
| 3 | 195, 240, 299 |
| 5 | 65, 80, 299 |
| 13 | 13, 16, 299 |
| 1, 16, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 13 x 1 x 16 x 23 = 215280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215280
Therefore, the GCF of Fractions 721/585,849/720,160/299 is 1/215280
Least Common Multiple of 585,720,299 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 585,720,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,720,299) = 1
common factors(in case of two or more numbers have common factors) = 585
GCF(585,720,299) x common factors =1 x 585 = 585
LCM(585,720,299) = ( 585 × 720 × 299 ) / 585
LCM(585,720,299) = 125938800 / 585
LCM(585,720,299) = 215280
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 721/585, 849/720, 160/299
1. What is the HCF of 721,849,160?
The HCF of 721,849,160 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 721/585, 849/720, 160/299?
Answer: GCF of Numerators as per given numbers 721/585, 849/720, 160/299 is
GCF of Numerators i.e. for 721,849,160 is 1
LCM of denominators i.e. for 585,720,299 is 215280.
Thus, GCF of Fractions is 1/215280.Finally, GCF of Fractions for 721/585, 849/720, 160/299 is 1/215280.