GCF of 4172/383, 8250/3475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4172/383, 8250/3475 i.e 2/1330925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4172/383, 8250/3475.
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 4172/383,8250/3475?
Given fractions are 4172/383,8250/3475
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 4172/383,8250/3475, numerators are 4172,8250
Denominators are 383,3475
The GCF of 4172,8250 is 2 .
LCM of 383,3475 is 1330925.
The greatest common factor of 4172/383,8250/3475 = [GCF of 4172,8250]/[LCM of 383,3475]= 2/1330925
Therefore, the GCF of 4172/383,8250/3475 is 2/1330925.
To find the highest common factor of 4172,8250, we have to find the factors of both numbers and list the highest common factor.
The factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The HCF of 4172,8250 is 2.
Lets's calculate GCF of 4172,8250
| 2 | 4172, 8250 |
| 2086, 4125 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4172,8250 By Matching Biggest Common Factor Method
Now, list down the factors of 4172
:1,2,4,7,14,28,149,298,596,1043,2086,4172
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Greatest Common Factor
We found the factors 4172,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 4172,8250 is 2.
Lets's calculate LCM of 383,3475
Given numbers has no common factors except 1. So, there LCM is their product i.e 1330925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1330925
Therefore, the GCF of Fractions 4172/383,8250/3475 is 2/1330925
Least Common Multiple of 383,3475 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 383,3475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,3475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,3475) x common factors =1 x 1 = 1
LCM(383,3475) = ( 383 × 3475 ) / 1
LCM(383,3475) = 1330925 / 1
LCM(383,3475) = 1330925
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4172/383, 8250/3475
1. What is the HCF of 4172,8250?
The HCF of 4172,8250 is 2
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 4172/383, 8250/3475?
Answer: GCF of Numerators as per given numbers 4172/383, 8250/3475 is
GCF of Numerators i.e. for 4172,8250 is 2
LCM of denominators i.e. for 383,3475 is 1330925.
Thus, GCF of Fractions is 2/1330925.Finally, GCF of Fractions for 4172/383, 8250/3475 is 2/1330925.