GCF of 4350/803, 9165/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4350/803, 9165/724 i.e 15/581372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4350/803, 9165/724.
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 4350/803,9165/724?
Given fractions are 4350/803,9165/724
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 4350/803,9165/724, numerators are 4350,9165
Denominators are 803,724
The GCF of 4350,9165 is 15 .
LCM of 803,724 is 581372.
The greatest common factor of 4350/803,9165/724 = [GCF of 4350,9165]/[LCM of 803,724]= 15/581372
Therefore, the GCF of 4350/803,9165/724 is 15/581372.
To find the highest common factor of 4350,9165, we have to find the factors of both numbers and list the highest common factor.
The factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The HCF of 4350,9165 is 15.
Lets's calculate GCF of 4350,9165
| 3 | 4350, 9165 |
| 5 | 1450, 3055 |
| 290, 611 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4350,9165 By Matching Biggest Common Factor Method
Now, list down the factors of 4350
:1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 4350,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 4350,9165 is 15.
Lets's calculate LCM of 803,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 581372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/581372
Therefore, the GCF of Fractions 4350/803,9165/724 is 15/581372
Least Common Multiple of 803,724 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 803,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,724) x common factors =1 x 1 = 1
LCM(803,724) = ( 803 × 724 ) / 1
LCM(803,724) = 581372 / 1
LCM(803,724) = 581372
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FAQs on GCF of Fractions of 4350/803, 9165/724
1. What is the HCF of 4350,9165?
The HCF of 4350,9165 is 15
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 4350/803, 9165/724?
Answer: GCF of Numerators as per given numbers 4350/803, 9165/724 is
GCF of Numerators i.e. for 4350,9165 is 15
LCM of denominators i.e. for 803,724 is 581372.
Thus, GCF of Fractions is 15/581372.Finally, GCF of Fractions for 4350/803, 9165/724 is 15/581372.