GCF of 4409/788, 8866/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4409/788, 8866/742 i.e 1/292348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4409/788, 8866/742.
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 4409/788,8866/742?
Given fractions are 4409/788,8866/742
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 4409/788,8866/742, numerators are 4409,8866
Denominators are 788,742
The GCF of 4409,8866 is 1 .
LCM of 788,742 is 292348.
The greatest common factor of 4409/788,8866/742 = [GCF of 4409,8866]/[LCM of 788,742]= 1/292348
Therefore, the GCF of 4409/788,8866/742 is 1/292348.
To find the highest common factor of 4409,8866, we have to find the factors of both numbers and list the highest common factor.
The factors of 4409 are 1, 4409
The factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866
The HCF of 4409,8866 is 1.
Lets's calculate GCF of 4409,8866
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4409,8866 By Matching Biggest Common Factor Method
Now, list down the factors of 4409
:1,4409
Now, list down the factors of 8866
:1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866
Greatest Common Factor
We found the factors 4409,8866 . The biggest common factor number is the GCF number.
So the greatest common factor 4409,8866 is 1.
Lets's calculate LCM of 788,742
| 2 | 788, 742 |
| 394, 371 |
∴ So the LCM of the given numbers is 2 x 394 x 371 = 292348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292348
Therefore, the GCF of Fractions 4409/788,8866/742 is 1/292348
Least Common Multiple of 788,742 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 788,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,742) x common factors =2 x 1 = 2
LCM(788,742) = ( 788 × 742 ) / 2
LCM(788,742) = 584696 / 2
LCM(788,742) = 292348
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FAQs on GCF of Fractions of 4409/788, 8866/742
1. What is the HCF of 4409,8866?
The HCF of 4409,8866 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 4409/788, 8866/742?
Answer: GCF of Numerators as per given numbers 4409/788, 8866/742 is
GCF of Numerators i.e. for 4409,8866 is 1
LCM of denominators i.e. for 788,742 is 292348.
Thus, GCF of Fractions is 1/292348.Finally, GCF of Fractions for 4409/788, 8866/742 is 1/292348.