GCF of 8022/294, 4453/9849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8022/294, 4453/9849 i.e 1/19698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8022/294, 4453/9849.
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 8022/294,4453/9849?
Given fractions are 8022/294,4453/9849
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 8022/294,4453/9849, numerators are 8022,4453
Denominators are 294,9849
The GCF of 8022,4453 is 1 .
LCM of 294,9849 is 19698.
The greatest common factor of 8022/294,4453/9849 = [GCF of 8022,4453]/[LCM of 294,9849]= 1/19698
Therefore, the GCF of 8022/294,4453/9849 is 1/19698.
To find the highest common factor of 8022,4453, we have to find the factors of both numbers and list the highest common factor.
The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
The factors of 4453 are 1, 61, 73, 4453
The HCF of 8022,4453 is 1.
Lets's calculate GCF of 8022,4453
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8022,4453 By Matching Biggest Common Factor Method
Now, list down the factors of 8022
:1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Now, list down the factors of 4453
:1,61,73,4453
Greatest Common Factor
We found the factors 8022,4453 . The biggest common factor number is the GCF number.
So the greatest common factor 8022,4453 is 1.
Lets's calculate LCM of 294,9849
| 3 | 294, 9849 |
| 7 | 98, 3283 |
| 7 | 14, 469 |
| 2, 67 |
∴ So the LCM of the given numbers is 3 x 7 x 7 x 2 x 67 = 19698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19698
Therefore, the GCF of Fractions 8022/294,4453/9849 is 1/19698
Least Common Multiple of 294,9849 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 294,9849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,9849) = 147
common factors(in case of two or more numbers have common factors) = 1
GCF(294,9849) x common factors =147 x 1 = 147
LCM(294,9849) = ( 294 × 9849 ) / 147
LCM(294,9849) = 2895606 / 147
LCM(294,9849) = 19698
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FAQs on GCF of Fractions of 8022/294, 4453/9849
1. What is the HCF of 8022,4453?
The HCF of 8022,4453 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 8022/294, 4453/9849?
Answer: GCF of Numerators as per given numbers 8022/294, 4453/9849 is
GCF of Numerators i.e. for 8022,4453 is 1
LCM of denominators i.e. for 294,9849 is 19698.
Thus, GCF of Fractions is 1/19698.Finally, GCF of Fractions for 8022/294, 4453/9849 is 1/19698.