GCF of 8421/871, 3094/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8421/871, 3094/233 i.e 7/202943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8421/871, 3094/233.
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 8421/871,3094/233?
Given fractions are 8421/871,3094/233
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 8421/871,3094/233, numerators are 8421,3094
Denominators are 871,233
The GCF of 8421,3094 is 7 .
LCM of 871,233 is 202943.
The greatest common factor of 8421/871,3094/233 = [GCF of 8421,3094]/[LCM of 871,233]= 7/202943
Therefore, the GCF of 8421/871,3094/233 is 7/202943.
To find the highest common factor of 8421,3094, we have to find the factors of both numbers and list the highest common factor.
The factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421
The factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094
The HCF of 8421,3094 is 7.
Lets's calculate GCF of 8421,3094
| 7 | 8421, 3094 |
| 1203, 442 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8421,3094 By Matching Biggest Common Factor Method
Now, list down the factors of 8421
:1,3,7,21,401,1203,2807,8421
Now, list down the factors of 3094
:1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094
Greatest Common Factor
We found the factors 8421,3094 . The biggest common factor number is the GCF number.
So the greatest common factor 8421,3094 is 7.
Lets's calculate LCM of 871,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 202943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/202943
Therefore, the GCF of Fractions 8421/871,3094/233 is 7/202943
Least Common Multiple of 871,233 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 871,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,233) x common factors =1 x 1 = 1
LCM(871,233) = ( 871 × 233 ) / 1
LCM(871,233) = 202943 / 1
LCM(871,233) = 202943
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FAQs on GCF of Fractions of 8421/871, 3094/233
1. What is the HCF of 8421,3094?
The HCF of 8421,3094 is 7
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 8421/871, 3094/233?
Answer: GCF of Numerators as per given numbers 8421/871, 3094/233 is
GCF of Numerators i.e. for 8421,3094 is 7
LCM of denominators i.e. for 871,233 is 202943.
Thus, GCF of Fractions is 7/202943.Finally, GCF of Fractions for 8421/871, 3094/233 is 7/202943.