GCF of 8604/804, 7431/230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8604/804, 7431/230 i.e 3/92460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8604/804, 7431/230.
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 8604/804,7431/230?
Given fractions are 8604/804,7431/230
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 8604/804,7431/230, numerators are 8604,7431
Denominators are 804,230
The GCF of 8604,7431 is 3 .
LCM of 804,230 is 92460.
The greatest common factor of 8604/804,7431/230 = [GCF of 8604,7431]/[LCM of 804,230]= 3/92460
Therefore, the GCF of 8604/804,7431/230 is 3/92460.
To find the highest common factor of 8604,7431, we have to find the factors of both numbers and list the highest common factor.
The factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604
The factors of 7431 are 1, 3, 2477, 7431
The HCF of 8604,7431 is 3.
Lets's calculate GCF of 8604,7431
| 3 | 8604, 7431 |
| 2868, 2477 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8604,7431 By Matching Biggest Common Factor Method
Now, list down the factors of 8604
:1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604
Now, list down the factors of 7431
:1,3,2477,7431
Greatest Common Factor
We found the factors 8604,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 8604,7431 is 3.
Lets's calculate LCM of 804,230
| 2 | 804, 230 |
| 402, 115 |
∴ So the LCM of the given numbers is 2 x 402 x 115 = 92460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/92460
Therefore, the GCF of Fractions 8604/804,7431/230 is 3/92460
Least Common Multiple of 804,230 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 804,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,230) x common factors =2 x 1 = 2
LCM(804,230) = ( 804 × 230 ) / 2
LCM(804,230) = 184920 / 2
LCM(804,230) = 92460
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FAQs on GCF of Fractions of 8604/804, 7431/230
1. What is the HCF of 8604,7431?
The HCF of 8604,7431 is 3
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 8604/804, 7431/230?
Answer: GCF of Numerators as per given numbers 8604/804, 7431/230 is
GCF of Numerators i.e. for 8604,7431 is 3
LCM of denominators i.e. for 804,230 is 92460.
Thus, GCF of Fractions is 3/92460.Finally, GCF of Fractions for 8604/804, 7431/230 is 3/92460.