GCF of 4075/257, 3205/2609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4075/257, 3205/2609 i.e 5/670513 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4075/257, 3205/2609.
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 4075/257,3205/2609?
Given fractions are 4075/257,3205/2609
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 4075/257,3205/2609, numerators are 4075,3205
Denominators are 257,2609
The GCF of 4075,3205 is 5 .
LCM of 257,2609 is 670513.
The greatest common factor of 4075/257,3205/2609 = [GCF of 4075,3205]/[LCM of 257,2609]= 5/670513
Therefore, the GCF of 4075/257,3205/2609 is 5/670513.
To find the highest common factor of 4075,3205, we have to find the factors of both numbers and list the highest common factor.
The factors of 4075 are 1, 5, 25, 163, 815, 4075
The factors of 3205 are 1, 5, 641, 3205
The HCF of 4075,3205 is 5.
Lets's calculate GCF of 4075,3205
| 5 | 4075, 3205 |
| 815, 641 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4075,3205 By Matching Biggest Common Factor Method
Now, list down the factors of 4075
:1,5,25,163,815,4075
Now, list down the factors of 3205
:1,5,641,3205
Greatest Common Factor
We found the factors 4075,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 4075,3205 is 5.
Lets's calculate LCM of 257,2609
Given numbers has no common factors except 1. So, there LCM is their product i.e 670513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/670513
Therefore, the GCF of Fractions 4075/257,3205/2609 is 5/670513
Least Common Multiple of 257,2609 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 257,2609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,2609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,2609) x common factors =1 x 1 = 1
LCM(257,2609) = ( 257 × 2609 ) / 1
LCM(257,2609) = 670513 / 1
LCM(257,2609) = 670513
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FAQs on GCF of Fractions of 4075/257, 3205/2609
1. What is the HCF of 4075,3205?
The HCF of 4075,3205 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 4075/257, 3205/2609?
Answer: GCF of Numerators as per given numbers 4075/257, 3205/2609 is
GCF of Numerators i.e. for 4075,3205 is 5
LCM of denominators i.e. for 257,2609 is 670513.
Thus, GCF of Fractions is 5/670513.Finally, GCF of Fractions for 4075/257, 3205/2609 is 5/670513.