GCF of 27/165, 1015/3245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/165, 1015/3245 i.e 1/9735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/165, 1015/3245.
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 27/165,1015/3245?
Given fractions are 27/165,1015/3245
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 27/165,1015/3245, numerators are 27,1015
Denominators are 165,3245
The GCF of 27,1015 is 1 .
LCM of 165,3245 is 9735.
The greatest common factor of 27/165,1015/3245 = [GCF of 27,1015]/[LCM of 165,3245]= 1/9735
Therefore, the GCF of 27/165,1015/3245 is 1/9735.
To find the highest common factor of 27,1015, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 1015 are 1, 5, 7, 29, 35, 145, 203, 1015
The HCF of 27,1015 is 1.
Lets's calculate GCF of 27,1015
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,1015 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 1015
:1,5,7,29,35,145,203,1015
Greatest Common Factor
We found the factors 27,1015 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1015 is 1.
Lets's calculate LCM of 165,3245
| 5 | 165, 3245 |
| 11 | 33, 649 |
| 3, 59 |
∴ So the LCM of the given numbers is 5 x 11 x 3 x 59 = 9735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9735
Therefore, the GCF of Fractions 27/165,1015/3245 is 1/9735
Least Common Multiple of 165,3245 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 165,3245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,3245) = 55
common factors(in case of two or more numbers have common factors) = 1
GCF(165,3245) x common factors =55 x 1 = 55
LCM(165,3245) = ( 165 × 3245 ) / 55
LCM(165,3245) = 535425 / 55
LCM(165,3245) = 9735
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FAQs on GCF of Fractions of 27/165, 1015/3245
1. What is the HCF of 27,1015?
The HCF of 27,1015 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 27/165, 1015/3245?
Answer: GCF of Numerators as per given numbers 27/165, 1015/3245 is
GCF of Numerators i.e. for 27,1015 is 1
LCM of denominators i.e. for 165,3245 is 9735.
Thus, GCF of Fractions is 1/9735.Finally, GCF of Fractions for 27/165, 1015/3245 is 1/9735.