GCF of 8114/534, 4113/9474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8114/534, 4113/9474 i.e 1/843186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8114/534, 4113/9474.
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 8114/534,4113/9474?
Given fractions are 8114/534,4113/9474
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 8114/534,4113/9474, numerators are 8114,4113
Denominators are 534,9474
The GCF of 8114,4113 is 1 .
LCM of 534,9474 is 843186.
The greatest common factor of 8114/534,4113/9474 = [GCF of 8114,4113]/[LCM of 534,9474]= 1/843186
Therefore, the GCF of 8114/534,4113/9474 is 1/843186.
To find the highest common factor of 8114,4113, we have to find the factors of both numbers and list the highest common factor.
The factors of 8114 are 1, 2, 4057, 8114
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The HCF of 8114,4113 is 1.
Lets's calculate GCF of 8114,4113
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8114,4113 By Matching Biggest Common Factor Method
Now, list down the factors of 8114
:1,2,4057,8114
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Greatest Common Factor
We found the factors 8114,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 8114,4113 is 1.
Lets's calculate LCM of 534,9474
| 2 | 534, 9474 |
| 3 | 267, 4737 |
| 89, 1579 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 1579 = 843186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843186
Therefore, the GCF of Fractions 8114/534,4113/9474 is 1/843186
Least Common Multiple of 534,9474 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 534,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,9474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(534,9474) x common factors =6 x 1 = 6
LCM(534,9474) = ( 534 × 9474 ) / 6
LCM(534,9474) = 5059116 / 6
LCM(534,9474) = 843186
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FAQs on GCF of Fractions of 8114/534, 4113/9474
1. What is the HCF of 8114,4113?
The HCF of 8114,4113 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 8114/534, 4113/9474?
Answer: GCF of Numerators as per given numbers 8114/534, 4113/9474 is
GCF of Numerators i.e. for 8114,4113 is 1
LCM of denominators i.e. for 534,9474 is 843186.
Thus, GCF of Fractions is 1/843186.Finally, GCF of Fractions for 8114/534, 4113/9474 is 1/843186.