GCF of 4231/516, 6858/2427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4231/516, 6858/2427 i.e 1/417444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4231/516, 6858/2427.
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 4231/516,6858/2427?
Given fractions are 4231/516,6858/2427
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 4231/516,6858/2427, numerators are 4231,6858
Denominators are 516,2427
The GCF of 4231,6858 is 1 .
LCM of 516,2427 is 417444.
The greatest common factor of 4231/516,6858/2427 = [GCF of 4231,6858]/[LCM of 516,2427]= 1/417444
Therefore, the GCF of 4231/516,6858/2427 is 1/417444.
To find the highest common factor of 4231,6858, we have to find the factors of both numbers and list the highest common factor.
The factors of 4231 are 1, 4231
The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858
The HCF of 4231,6858 is 1.
Lets's calculate GCF of 4231,6858
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4231,6858 By Matching Biggest Common Factor Method
Now, list down the factors of 4231
:1,4231
Now, list down the factors of 6858
:1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858
Greatest Common Factor
We found the factors 4231,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 4231,6858 is 1.
Lets's calculate LCM of 516,2427
| 3 | 516, 2427 |
| 172, 809 |
∴ So the LCM of the given numbers is 3 x 172 x 809 = 417444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417444
Therefore, the GCF of Fractions 4231/516,6858/2427 is 1/417444
Least Common Multiple of 516,2427 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 516,2427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,2427) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(516,2427) x common factors =3 x 1 = 3
LCM(516,2427) = ( 516 × 2427 ) / 3
LCM(516,2427) = 1252332 / 3
LCM(516,2427) = 417444
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FAQs on GCF of Fractions of 4231/516, 6858/2427
1. What is the HCF of 4231,6858?
The HCF of 4231,6858 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 4231/516, 6858/2427?
Answer: GCF of Numerators as per given numbers 4231/516, 6858/2427 is
GCF of Numerators i.e. for 4231,6858 is 1
LCM of denominators i.e. for 516,2427 is 417444.
Thus, GCF of Fractions is 1/417444.Finally, GCF of Fractions for 4231/516, 6858/2427 is 1/417444.