GCF of 5535/162, 4161/3070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5535/162, 4161/3070 i.e 3/248670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5535/162, 4161/3070.
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 5535/162,4161/3070?
Given fractions are 5535/162,4161/3070
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 5535/162,4161/3070, numerators are 5535,4161
Denominators are 162,3070
The GCF of 5535,4161 is 3 .
LCM of 162,3070 is 248670.
The greatest common factor of 5535/162,4161/3070 = [GCF of 5535,4161]/[LCM of 162,3070]= 3/248670
Therefore, the GCF of 5535/162,4161/3070 is 3/248670.
To find the highest common factor of 5535,4161, we have to find the factors of both numbers and list the highest common factor.
The factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535
The factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161
The HCF of 5535,4161 is 3.
Lets's calculate GCF of 5535,4161
| 3 | 5535, 4161 |
| 1845, 1387 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5535,4161 By Matching Biggest Common Factor Method
Now, list down the factors of 5535
:1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535
Now, list down the factors of 4161
:1,3,19,57,73,219,1387,4161
Greatest Common Factor
We found the factors 5535,4161 . The biggest common factor number is the GCF number.
So the greatest common factor 5535,4161 is 3.
Lets's calculate LCM of 162,3070
| 2 | 162, 3070 |
| 81, 1535 |
∴ So the LCM of the given numbers is 2 x 81 x 1535 = 248670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/248670
Therefore, the GCF of Fractions 5535/162,4161/3070 is 3/248670
Least Common Multiple of 162,3070 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 162,3070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,3070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,3070) x common factors =2 x 1 = 2
LCM(162,3070) = ( 162 × 3070 ) / 2
LCM(162,3070) = 497340 / 2
LCM(162,3070) = 248670
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5535/162, 4161/3070
1. What is the HCF of 5535,4161?
The HCF of 5535,4161 is 3
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 5535/162, 4161/3070?
Answer: GCF of Numerators as per given numbers 5535/162, 4161/3070 is
GCF of Numerators i.e. for 5535,4161 is 3
LCM of denominators i.e. for 162,3070 is 248670.
Thus, GCF of Fractions is 3/248670.Finally, GCF of Fractions for 5535/162, 4161/3070 is 3/248670.