GCF of 304/421, 8574/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 304/421, 8574/857 i.e 2/360797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 304/421, 8574/857.
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 304/421,8574/857?
Given fractions are 304/421,8574/857
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 304/421,8574/857, numerators are 304,8574
Denominators are 421,857
The GCF of 304,8574 is 2 .
LCM of 421,857 is 360797.
The greatest common factor of 304/421,8574/857 = [GCF of 304,8574]/[LCM of 421,857]= 2/360797
Therefore, the GCF of 304/421,8574/857 is 2/360797.
To find the highest common factor of 304,8574, we have to find the factors of both numbers and list the highest common factor.
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574
The HCF of 304,8574 is 2.
Lets's calculate GCF of 304,8574
| 2 | 304, 8574 |
| 152, 4287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 304,8574 By Matching Biggest Common Factor Method
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Now, list down the factors of 8574
:1,2,3,6,1429,2858,4287,8574
Greatest Common Factor
We found the factors 304,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 304,8574 is 2.
Lets's calculate LCM of 421,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 360797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/360797
Therefore, the GCF of Fractions 304/421,8574/857 is 2/360797
Least Common Multiple of 421,857 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 421,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,857) x common factors =1 x 1 = 1
LCM(421,857) = ( 421 × 857 ) / 1
LCM(421,857) = 360797 / 1
LCM(421,857) = 360797
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FAQs on GCF of Fractions of 304/421, 8574/857
1. What is the HCF of 304,8574?
The HCF of 304,8574 is 2
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 304/421, 8574/857?
Answer: GCF of Numerators as per given numbers 304/421, 8574/857 is
GCF of Numerators i.e. for 304,8574 is 2
LCM of denominators i.e. for 421,857 is 360797.
Thus, GCF of Fractions is 2/360797.Finally, GCF of Fractions for 304/421, 8574/857 is 2/360797.