GCF of 803/194, 858/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 803/194, 858/458 i.e 11/44426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/194, 858/458.
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 803/194,858/458?
Given fractions are 803/194,858/458
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 803/194,858/458, numerators are 803,858
Denominators are 194,458
The GCF of 803,858 is 11 .
LCM of 194,458 is 44426.
The greatest common factor of 803/194,858/458 = [GCF of 803,858]/[LCM of 194,458]= 11/44426
Therefore, the GCF of 803/194,858/458 is 11/44426.
To find the highest common factor of 803,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 803,858 is 11.
Lets's calculate GCF of 803,858
| 11 | 803, 858 |
| 73, 78 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 803,858 By Matching Biggest Common Factor Method
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 803,858 . The biggest common factor number is the GCF number.
So the greatest common factor 803,858 is 11.
Lets's calculate LCM of 194,458
| 2 | 194, 458 |
| 97, 229 |
∴ So the LCM of the given numbers is 2 x 97 x 229 = 44426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/44426
Therefore, the GCF of Fractions 803/194,858/458 is 11/44426
Least Common Multiple of 194,458 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 194,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,458) x common factors =2 x 1 = 2
LCM(194,458) = ( 194 × 458 ) / 2
LCM(194,458) = 88852 / 2
LCM(194,458) = 44426
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FAQs on GCF of Fractions of 803/194, 858/458
1. What is the HCF of 803,858?
The HCF of 803,858 is 11
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 803/194, 858/458?
Answer: GCF of Numerators as per given numbers 803/194, 858/458 is
GCF of Numerators i.e. for 803,858 is 11
LCM of denominators i.e. for 194,458 is 44426.
Thus, GCF of Fractions is 11/44426.Finally, GCF of Fractions for 803/194, 858/458 is 11/44426.