GCF of 5995/539, 5535/8882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5995/539, 5535/8882 i.e 5/4787398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5995/539, 5535/8882.
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 5995/539,5535/8882?
Given fractions are 5995/539,5535/8882
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 5995/539,5535/8882, numerators are 5995,5535
Denominators are 539,8882
The GCF of 5995,5535 is 5 .
LCM of 539,8882 is 4787398.
The greatest common factor of 5995/539,5535/8882 = [GCF of 5995,5535]/[LCM of 539,8882]= 5/4787398
Therefore, the GCF of 5995/539,5535/8882 is 5/4787398.
To find the highest common factor of 5995,5535, we have to find the factors of both numbers and list the highest common factor.
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535
The HCF of 5995,5535 is 5.
Lets's calculate GCF of 5995,5535
| 5 | 5995, 5535 |
| 1199, 1107 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5995,5535 By Matching Biggest Common Factor Method
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Now, list down the factors of 5535
:1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535
Greatest Common Factor
We found the factors 5995,5535 . The biggest common factor number is the GCF number.
So the greatest common factor 5995,5535 is 5.
Lets's calculate LCM of 539,8882
Given numbers has no common factors except 1. So, there LCM is their product i.e 4787398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4787398
Therefore, the GCF of Fractions 5995/539,5535/8882 is 5/4787398
Least Common Multiple of 539,8882 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 539,8882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,8882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,8882) x common factors =1 x 1 = 1
LCM(539,8882) = ( 539 × 8882 ) / 1
LCM(539,8882) = 4787398 / 1
LCM(539,8882) = 4787398
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FAQs on GCF of Fractions of 5995/539, 5535/8882
1. What is the HCF of 5995,5535?
The HCF of 5995,5535 is 5
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 5995/539, 5535/8882?
Answer: GCF of Numerators as per given numbers 5995/539, 5535/8882 is
GCF of Numerators i.e. for 5995,5535 is 5
LCM of denominators i.e. for 539,8882 is 4787398.
Thus, GCF of Fractions is 5/4787398.Finally, GCF of Fractions for 5995/539, 5535/8882 is 5/4787398.