GCF of 4189/575, 9960/2167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4189/575, 9960/2167 i.e 1/1246025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4189/575, 9960/2167.
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 4189/575,9960/2167?
Given fractions are 4189/575,9960/2167
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 4189/575,9960/2167, numerators are 4189,9960
Denominators are 575,2167
The GCF of 4189,9960 is 1 .
LCM of 575,2167 is 1246025.
The greatest common factor of 4189/575,9960/2167 = [GCF of 4189,9960]/[LCM of 575,2167]= 1/1246025
Therefore, the GCF of 4189/575,9960/2167 is 1/1246025.
To find the highest common factor of 4189,9960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4189 are 1, 59, 71, 4189
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The HCF of 4189,9960 is 1.
Lets's calculate GCF of 4189,9960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4189,9960 By Matching Biggest Common Factor Method
Now, list down the factors of 4189
:1,59,71,4189
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Greatest Common Factor
We found the factors 4189,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 4189,9960 is 1.
Lets's calculate LCM of 575,2167
Given numbers has no common factors except 1. So, there LCM is their product i.e 1246025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1246025
Therefore, the GCF of Fractions 4189/575,9960/2167 is 1/1246025
Least Common Multiple of 575,2167 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 575,2167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,2167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,2167) x common factors =1 x 1 = 1
LCM(575,2167) = ( 575 × 2167 ) / 1
LCM(575,2167) = 1246025 / 1
LCM(575,2167) = 1246025
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4189/575, 9960/2167
1. What is the HCF of 4189,9960?
The HCF of 4189,9960 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 4189/575, 9960/2167?
Answer: GCF of Numerators as per given numbers 4189/575, 9960/2167 is
GCF of Numerators i.e. for 4189,9960 is 1
LCM of denominators i.e. for 575,2167 is 1246025.
Thus, GCF of Fractions is 1/1246025.Finally, GCF of Fractions for 4189/575, 9960/2167 is 1/1246025.