GCF of 9981/496, 6995/3764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9981/496, 6995/3764 i.e 1/466736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9981/496, 6995/3764.
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 9981/496,6995/3764?
Given fractions are 9981/496,6995/3764
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 9981/496,6995/3764, numerators are 9981,6995
Denominators are 496,3764
The GCF of 9981,6995 is 1 .
LCM of 496,3764 is 466736.
The greatest common factor of 9981/496,6995/3764 = [GCF of 9981,6995]/[LCM of 496,3764]= 1/466736
Therefore, the GCF of 9981/496,6995/3764 is 1/466736.
To find the highest common factor of 9981,6995, we have to find the factors of both numbers and list the highest common factor.
The factors of 9981 are 1, 3, 9, 1109, 3327, 9981
The factors of 6995 are 1, 5, 1399, 6995
The HCF of 9981,6995 is 1.
Lets's calculate GCF of 9981,6995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9981,6995 By Matching Biggest Common Factor Method
Now, list down the factors of 9981
:1,3,9,1109,3327,9981
Now, list down the factors of 6995
:1,5,1399,6995
Greatest Common Factor
We found the factors 9981,6995 . The biggest common factor number is the GCF number.
So the greatest common factor 9981,6995 is 1.
Lets's calculate LCM of 496,3764
| 2 | 496, 3764 |
| 2 | 248, 1882 |
| 124, 941 |
∴ So the LCM of the given numbers is 2 x 2 x 124 x 941 = 466736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466736
Therefore, the GCF of Fractions 9981/496,6995/3764 is 1/466736
Least Common Multiple of 496,3764 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 496,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,3764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(496,3764) x common factors =4 x 1 = 4
LCM(496,3764) = ( 496 × 3764 ) / 4
LCM(496,3764) = 1866944 / 4
LCM(496,3764) = 466736
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FAQs on GCF of Fractions of 9981/496, 6995/3764
1. What is the HCF of 9981,6995?
The HCF of 9981,6995 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 9981/496, 6995/3764?
Answer: GCF of Numerators as per given numbers 9981/496, 6995/3764 is
GCF of Numerators i.e. for 9981,6995 is 1
LCM of denominators i.e. for 496,3764 is 466736.
Thus, GCF of Fractions is 1/466736.Finally, GCF of Fractions for 9981/496, 6995/3764 is 1/466736.