GCF of 8817/402, 5146/9892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8817/402, 5146/9892 i.e 1/1988292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8817/402, 5146/9892.
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 8817/402,5146/9892?
Given fractions are 8817/402,5146/9892
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 8817/402,5146/9892, numerators are 8817,5146
Denominators are 402,9892
The GCF of 8817,5146 is 1 .
LCM of 402,9892 is 1988292.
The greatest common factor of 8817/402,5146/9892 = [GCF of 8817,5146]/[LCM of 402,9892]= 1/1988292
Therefore, the GCF of 8817/402,5146/9892 is 1/1988292.
To find the highest common factor of 8817,5146, we have to find the factors of both numbers and list the highest common factor.
The factors of 8817 are 1, 3, 2939, 8817
The factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146
The HCF of 8817,5146 is 1.
Lets's calculate GCF of 8817,5146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8817,5146 By Matching Biggest Common Factor Method
Now, list down the factors of 8817
:1,3,2939,8817
Now, list down the factors of 5146
:1,2,31,62,83,166,2573,5146
Greatest Common Factor
We found the factors 8817,5146 . The biggest common factor number is the GCF number.
So the greatest common factor 8817,5146 is 1.
Lets's calculate LCM of 402,9892
| 2 | 402, 9892 |
| 201, 4946 |
∴ So the LCM of the given numbers is 2 x 201 x 4946 = 1988292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1988292
Therefore, the GCF of Fractions 8817/402,5146/9892 is 1/1988292
Least Common Multiple of 402,9892 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 402,9892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,9892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,9892) x common factors =2 x 1 = 2
LCM(402,9892) = ( 402 × 9892 ) / 2
LCM(402,9892) = 3976584 / 2
LCM(402,9892) = 1988292
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FAQs on GCF of Fractions of 8817/402, 5146/9892
1. What is the HCF of 8817,5146?
The HCF of 8817,5146 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 8817/402, 5146/9892?
Answer: GCF of Numerators as per given numbers 8817/402, 5146/9892 is
GCF of Numerators i.e. for 8817,5146 is 1
LCM of denominators i.e. for 402,9892 is 1988292.
Thus, GCF of Fractions is 1/1988292.Finally, GCF of Fractions for 8817/402, 5146/9892 is 1/1988292.