GCF of 1605/857, 2715/595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1605/857, 2715/595 i.e 15/509915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1605/857, 2715/595.
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 1605/857,2715/595?
Given fractions are 1605/857,2715/595
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 1605/857,2715/595, numerators are 1605,2715
Denominators are 857,595
The GCF of 1605,2715 is 15 .
LCM of 857,595 is 509915.
The greatest common factor of 1605/857,2715/595 = [GCF of 1605,2715]/[LCM of 857,595]= 15/509915
Therefore, the GCF of 1605/857,2715/595 is 15/509915.
To find the highest common factor of 1605,2715, we have to find the factors of both numbers and list the highest common factor.
The factors of 1605 are 1, 3, 5, 15, 107, 321, 535, 1605
The factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715
The HCF of 1605,2715 is 15.
Lets's calculate GCF of 1605,2715
| 3 | 1605, 2715 |
| 5 | 535, 905 |
| 107, 181 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1605,2715 By Matching Biggest Common Factor Method
Now, list down the factors of 1605
:1,3,5,15,107,321,535,1605
Now, list down the factors of 2715
:1,3,5,15,181,543,905,2715
Greatest Common Factor
We found the factors 1605,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 1605,2715 is 15.
Lets's calculate LCM of 857,595
Given numbers has no common factors except 1. So, there LCM is their product i.e 509915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/509915
Therefore, the GCF of Fractions 1605/857,2715/595 is 15/509915
Least Common Multiple of 857,595 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 857,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,595) x common factors =1 x 1 = 1
LCM(857,595) = ( 857 × 595 ) / 1
LCM(857,595) = 509915 / 1
LCM(857,595) = 509915
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1605/857, 2715/595
1. What is the HCF of 1605,2715?
The HCF of 1605,2715 is 15
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 1605/857, 2715/595?
Answer: GCF of Numerators as per given numbers 1605/857, 2715/595 is
GCF of Numerators i.e. for 1605,2715 is 15
LCM of denominators i.e. for 857,595 is 509915.
Thus, GCF of Fractions is 15/509915.Finally, GCF of Fractions for 1605/857, 2715/595 is 15/509915.