GCF of 6994/496, 4563/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6994/496, 4563/817 i.e 13/405232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6994/496, 4563/817.
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 6994/496,4563/817?
Given fractions are 6994/496,4563/817
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 6994/496,4563/817, numerators are 6994,4563
Denominators are 496,817
The GCF of 6994,4563 is 13 .
LCM of 496,817 is 405232.
The greatest common factor of 6994/496,4563/817 = [GCF of 6994,4563]/[LCM of 496,817]= 13/405232
Therefore, the GCF of 6994/496,4563/817 is 13/405232.
To find the highest common factor of 6994,4563, we have to find the factors of both numbers and list the highest common factor.
The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994
The factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563
The HCF of 6994,4563 is 13.
Lets's calculate GCF of 6994,4563
| 13 | 6994, 4563 |
| 538, 351 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6994,4563 By Matching Biggest Common Factor Method
Now, list down the factors of 6994
:1,2,13,26,269,538,3497,6994
Now, list down the factors of 4563
:1,3,9,13,27,39,117,169,351,507,1521,4563
Greatest Common Factor
We found the factors 6994,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 6994,4563 is 13.
Lets's calculate LCM of 496,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 405232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/405232
Therefore, the GCF of Fractions 6994/496,4563/817 is 13/405232
Least Common Multiple of 496,817 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 496,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,817) x common factors =1 x 1 = 1
LCM(496,817) = ( 496 × 817 ) / 1
LCM(496,817) = 405232 / 1
LCM(496,817) = 405232
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FAQs on GCF of Fractions of 6994/496, 4563/817
1. What is the HCF of 6994,4563?
The HCF of 6994,4563 is 13
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 6994/496, 4563/817?
Answer: GCF of Numerators as per given numbers 6994/496, 4563/817 is
GCF of Numerators i.e. for 6994,4563 is 13
LCM of denominators i.e. for 496,817 is 405232.
Thus, GCF of Fractions is 13/405232.Finally, GCF of Fractions for 6994/496, 4563/817 is 13/405232.