GCF of 8427/114, 3429/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8427/114, 3429/194 i.e 3/11058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8427/114, 3429/194.
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 8427/114,3429/194?
Given fractions are 8427/114,3429/194
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 8427/114,3429/194, numerators are 8427,3429
Denominators are 114,194
The GCF of 8427,3429 is 3 .
LCM of 114,194 is 11058.
The greatest common factor of 8427/114,3429/194 = [GCF of 8427,3429]/[LCM of 114,194]= 3/11058
Therefore, the GCF of 8427/114,3429/194 is 3/11058.
To find the highest common factor of 8427,3429, we have to find the factors of both numbers and list the highest common factor.
The factors of 8427 are 1, 3, 53, 159, 2809, 8427
The factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429
The HCF of 8427,3429 is 3.
Lets's calculate GCF of 8427,3429
| 3 | 8427, 3429 |
| 2809, 1143 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8427,3429 By Matching Biggest Common Factor Method
Now, list down the factors of 8427
:1,3,53,159,2809,8427
Now, list down the factors of 3429
:1,3,9,27,127,381,1143,3429
Greatest Common Factor
We found the factors 8427,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 8427,3429 is 3.
Lets's calculate LCM of 114,194
| 2 | 114, 194 |
| 57, 97 |
∴ So the LCM of the given numbers is 2 x 57 x 97 = 11058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11058
Therefore, the GCF of Fractions 8427/114,3429/194 is 3/11058
Least Common Multiple of 114,194 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 114,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,194) x common factors =2 x 1 = 2
LCM(114,194) = ( 114 × 194 ) / 2
LCM(114,194) = 22116 / 2
LCM(114,194) = 11058
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FAQs on GCF of Fractions of 8427/114, 3429/194
1. What is the HCF of 8427,3429?
The HCF of 8427,3429 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 8427/114, 3429/194?
Answer: GCF of Numerators as per given numbers 8427/114, 3429/194 is
GCF of Numerators i.e. for 8427,3429 is 3
LCM of denominators i.e. for 114,194 is 11058.
Thus, GCF of Fractions is 3/11058.Finally, GCF of Fractions for 8427/114, 3429/194 is 3/11058.