GCF of 2417/538, 3172/3493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2417/538, 3172/3493 i.e 1/1879234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2417/538, 3172/3493.
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 2417/538,3172/3493?
Given fractions are 2417/538,3172/3493
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 2417/538,3172/3493, numerators are 2417,3172
Denominators are 538,3493
The GCF of 2417,3172 is 1 .
LCM of 538,3493 is 1879234.
The greatest common factor of 2417/538,3172/3493 = [GCF of 2417,3172]/[LCM of 538,3493]= 1/1879234
Therefore, the GCF of 2417/538,3172/3493 is 1/1879234.
To find the highest common factor of 2417,3172, we have to find the factors of both numbers and list the highest common factor.
The factors of 2417 are 1, 2417
The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
The HCF of 2417,3172 is 1.
Lets's calculate GCF of 2417,3172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2417,3172 By Matching Biggest Common Factor Method
Now, list down the factors of 2417
:1,2417
Now, list down the factors of 3172
:1,2,4,13,26,52,61,122,244,793,1586,3172
Greatest Common Factor
We found the factors 2417,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 2417,3172 is 1.
Lets's calculate LCM of 538,3493
Given numbers has no common factors except 1. So, there LCM is their product i.e 1879234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1879234
Therefore, the GCF of Fractions 2417/538,3172/3493 is 1/1879234
Least Common Multiple of 538,3493 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 538,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,3493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,3493) x common factors =1 x 1 = 1
LCM(538,3493) = ( 538 × 3493 ) / 1
LCM(538,3493) = 1879234 / 1
LCM(538,3493) = 1879234
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2417/538, 3172/3493
1. What is the HCF of 2417,3172?
The HCF of 2417,3172 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 2417/538, 3172/3493?
Answer: GCF of Numerators as per given numbers 2417/538, 3172/3493 is
GCF of Numerators i.e. for 2417,3172 is 1
LCM of denominators i.e. for 538,3493 is 1879234.
Thus, GCF of Fractions is 1/1879234.Finally, GCF of Fractions for 2417/538, 3172/3493 is 1/1879234.