GCF of 7173/146, 2075/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7173/146, 2075/421 i.e 1/61466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7173/146, 2075/421.
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 7173/146,2075/421?
Given fractions are 7173/146,2075/421
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 7173/146,2075/421, numerators are 7173,2075
Denominators are 146,421
The GCF of 7173,2075 is 1 .
LCM of 146,421 is 61466.
The greatest common factor of 7173/146,2075/421 = [GCF of 7173,2075]/[LCM of 146,421]= 1/61466
Therefore, the GCF of 7173/146,2075/421 is 1/61466.
To find the highest common factor of 7173,2075, we have to find the factors of both numbers and list the highest common factor.
The factors of 7173 are 1, 3, 9, 797, 2391, 7173
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The HCF of 7173,2075 is 1.
Lets's calculate GCF of 7173,2075
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7173,2075 By Matching Biggest Common Factor Method
Now, list down the factors of 7173
:1,3,9,797,2391,7173
Now, list down the factors of 2075
:1,5,25,83,415,2075
Greatest Common Factor
We found the factors 7173,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 7173,2075 is 1.
Lets's calculate LCM of 146,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 61466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61466
Therefore, the GCF of Fractions 7173/146,2075/421 is 1/61466
Least Common Multiple of 146,421 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 146,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,421) x common factors =1 x 1 = 1
LCM(146,421) = ( 146 × 421 ) / 1
LCM(146,421) = 61466 / 1
LCM(146,421) = 61466
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7173/146, 2075/421
1. What is the HCF of 7173,2075?
The HCF of 7173,2075 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 7173/146, 2075/421?
Answer: GCF of Numerators as per given numbers 7173/146, 2075/421 is
GCF of Numerators i.e. for 7173,2075 is 1
LCM of denominators i.e. for 146,421 is 61466.
Thus, GCF of Fractions is 1/61466.Finally, GCF of Fractions for 7173/146, 2075/421 is 1/61466.