GCF of 724/738, 5430/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/738, 5430/809 i.e 362/597042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/738, 5430/809.
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 724/738,5430/809?
Given fractions are 724/738,5430/809
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 724/738,5430/809, numerators are 724,5430
Denominators are 738,809
The GCF of 724,5430 is 362 .
LCM of 738,809 is 597042.
The greatest common factor of 724/738,5430/809 = [GCF of 724,5430]/[LCM of 738,809]= 362/597042
Therefore, the GCF of 724/738,5430/809 is 362/597042.
To find the highest common factor of 724,5430, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430
The HCF of 724,5430 is 362.
Lets's calculate GCF of 724,5430
| 2 | 724, 5430 |
| 181 | 362, 2715 |
| 2, 15 |
∴ So the GCF of the given numbers is 2 x 181 = 362
Greatest Common Factor of 724,5430 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 5430
:1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430
Greatest Common Factor
We found the factors 724,5430 . The biggest common factor number is the GCF number.
So the greatest common factor 724,5430 is 362.
Lets's calculate LCM of 738,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 597042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 362/597042
Therefore, the GCF of Fractions 724/738,5430/809 is 362/597042
Least Common Multiple of 738,809 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 738,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,809) x common factors =1 x 1 = 1
LCM(738,809) = ( 738 × 809 ) / 1
LCM(738,809) = 597042 / 1
LCM(738,809) = 597042
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FAQs on GCF of Fractions of 724/738, 5430/809
1. What is the HCF of 724,5430?
The HCF of 724,5430 is 362
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 724/738, 5430/809?
Answer: GCF of Numerators as per given numbers 724/738, 5430/809 is
GCF of Numerators i.e. for 724,5430 is 362
LCM of denominators i.e. for 738,809 is 597042.
Thus, GCF of Fractions is 362/597042.Finally, GCF of Fractions for 724/738, 5430/809 is 362/597042.