GCF of 9073/454, 5715/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9073/454, 5715/804 i.e 1/182508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9073/454, 5715/804.
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 9073/454,5715/804?
Given fractions are 9073/454,5715/804
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 9073/454,5715/804, numerators are 9073,5715
Denominators are 454,804
The GCF of 9073,5715 is 1 .
LCM of 454,804 is 182508.
The greatest common factor of 9073/454,5715/804 = [GCF of 9073,5715]/[LCM of 454,804]= 1/182508
Therefore, the GCF of 9073/454,5715/804 is 1/182508.
To find the highest common factor of 9073,5715, we have to find the factors of both numbers and list the highest common factor.
The factors of 9073 are 1, 43, 211, 9073
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The HCF of 9073,5715 is 1.
Lets's calculate GCF of 9073,5715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9073,5715 By Matching Biggest Common Factor Method
Now, list down the factors of 9073
:1,43,211,9073
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Greatest Common Factor
We found the factors 9073,5715 . The biggest common factor number is the GCF number.
So the greatest common factor 9073,5715 is 1.
Lets's calculate LCM of 454,804
| 2 | 454, 804 |
| 227, 402 |
∴ So the LCM of the given numbers is 2 x 227 x 402 = 182508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182508
Therefore, the GCF of Fractions 9073/454,5715/804 is 1/182508
Least Common Multiple of 454,804 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 454,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,804) x common factors =2 x 1 = 2
LCM(454,804) = ( 454 × 804 ) / 2
LCM(454,804) = 365016 / 2
LCM(454,804) = 182508
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FAQs on GCF of Fractions of 9073/454, 5715/804
1. What is the HCF of 9073,5715?
The HCF of 9073,5715 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 9073/454, 5715/804?
Answer: GCF of Numerators as per given numbers 9073/454, 5715/804 is
GCF of Numerators i.e. for 9073,5715 is 1
LCM of denominators i.e. for 454,804 is 182508.
Thus, GCF of Fractions is 1/182508.Finally, GCF of Fractions for 9073/454, 5715/804 is 1/182508.