GCF of 954/814, 288/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/814, 288/509 i.e 18/414326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/814, 288/509.
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 954/814,288/509?
Given fractions are 954/814,288/509
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 954/814,288/509, numerators are 954,288
Denominators are 814,509
The GCF of 954,288 is 18 .
LCM of 814,509 is 414326.
The greatest common factor of 954/814,288/509 = [GCF of 954,288]/[LCM of 814,509]= 18/414326
Therefore, the GCF of 954/814,288/509 is 18/414326.
To find the highest common factor of 954,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 954,288 is 18.
Lets's calculate GCF of 954,288
| 2 | 954, 288 |
| 3 | 477, 144 |
| 3 | 159, 48 |
| 53, 16 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 954,288 By Matching Biggest Common Factor Method
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 954,288 . The biggest common factor number is the GCF number.
So the greatest common factor 954,288 is 18.
Lets's calculate LCM of 814,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 414326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/414326
Therefore, the GCF of Fractions 954/814,288/509 is 18/414326
Least Common Multiple of 814,509 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 814,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,509) x common factors =1 x 1 = 1
LCM(814,509) = ( 814 × 509 ) / 1
LCM(814,509) = 414326 / 1
LCM(814,509) = 414326
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FAQs on GCF of Fractions of 954/814, 288/509
1. What is the HCF of 954,288?
The HCF of 954,288 is 18
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 954/814, 288/509?
Answer: GCF of Numerators as per given numbers 954/814, 288/509 is
GCF of Numerators i.e. for 954,288 is 18
LCM of denominators i.e. for 814,509 is 414326.
Thus, GCF of Fractions is 18/414326.Finally, GCF of Fractions for 954/814, 288/509 is 18/414326.