GCF of 8204/790, 8458/4424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8204/790, 8458/4424 i.e 2/22120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8204/790, 8458/4424.
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 8204/790,8458/4424?
Given fractions are 8204/790,8458/4424
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 8204/790,8458/4424, numerators are 8204,8458
Denominators are 790,4424
The GCF of 8204,8458 is 2 .
LCM of 790,4424 is 22120.
The greatest common factor of 8204/790,8458/4424 = [GCF of 8204,8458]/[LCM of 790,4424]= 2/22120
Therefore, the GCF of 8204/790,8458/4424 is 2/22120.
To find the highest common factor of 8204,8458, we have to find the factors of both numbers and list the highest common factor.
The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204
The factors of 8458 are 1, 2, 4229, 8458
The HCF of 8204,8458 is 2.
Lets's calculate GCF of 8204,8458
| 2 | 8204, 8458 |
| 4102, 4229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8204,8458 By Matching Biggest Common Factor Method
Now, list down the factors of 8204
:1,2,4,7,14,28,293,586,1172,2051,4102,8204
Now, list down the factors of 8458
:1,2,4229,8458
Greatest Common Factor
We found the factors 8204,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 8204,8458 is 2.
Lets's calculate LCM of 790,4424
| 2 | 790, 4424 |
| 79 | 395, 2212 |
| 5, 28 |
∴ So the LCM of the given numbers is 2 x 79 x 5 x 28 = 22120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22120
Therefore, the GCF of Fractions 8204/790,8458/4424 is 2/22120
Least Common Multiple of 790,4424 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 790,4424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,4424) = 158
common factors(in case of two or more numbers have common factors) = 1
GCF(790,4424) x common factors =158 x 1 = 158
LCM(790,4424) = ( 790 × 4424 ) / 158
LCM(790,4424) = 3494960 / 158
LCM(790,4424) = 22120
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FAQs on GCF of Fractions of 8204/790, 8458/4424
1. What is the HCF of 8204,8458?
The HCF of 8204,8458 is 2
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 8204/790, 8458/4424?
Answer: GCF of Numerators as per given numbers 8204/790, 8458/4424 is
GCF of Numerators i.e. for 8204,8458 is 2
LCM of denominators i.e. for 790,4424 is 22120.
Thus, GCF of Fractions is 2/22120.Finally, GCF of Fractions for 8204/790, 8458/4424 is 2/22120.