GCF of 4175/400, 3219/1150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4175/400, 3219/1150 i.e 1/9200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4175/400, 3219/1150.
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 4175/400,3219/1150?
Given fractions are 4175/400,3219/1150
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 4175/400,3219/1150, numerators are 4175,3219
Denominators are 400,1150
The GCF of 4175,3219 is 1 .
LCM of 400,1150 is 9200.
The greatest common factor of 4175/400,3219/1150 = [GCF of 4175,3219]/[LCM of 400,1150]= 1/9200
Therefore, the GCF of 4175/400,3219/1150 is 1/9200.
To find the highest common factor of 4175,3219, we have to find the factors of both numbers and list the highest common factor.
The factors of 4175 are 1, 5, 25, 167, 835, 4175
The factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219
The HCF of 4175,3219 is 1.
Lets's calculate GCF of 4175,3219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4175,3219 By Matching Biggest Common Factor Method
Now, list down the factors of 4175
:1,5,25,167,835,4175
Now, list down the factors of 3219
:1,3,29,37,87,111,1073,3219
Greatest Common Factor
We found the factors 4175,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 4175,3219 is 1.
Lets's calculate LCM of 400,1150
| 2 | 400, 1150 |
| 5 | 200, 575 |
| 5 | 40, 115 |
| 8, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 8 x 23 = 9200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9200
Therefore, the GCF of Fractions 4175/400,3219/1150 is 1/9200
Least Common Multiple of 400,1150 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 400,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,1150) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(400,1150) x common factors =50 x 1 = 50
LCM(400,1150) = ( 400 × 1150 ) / 50
LCM(400,1150) = 460000 / 50
LCM(400,1150) = 9200
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FAQs on GCF of Fractions of 4175/400, 3219/1150
1. What is the HCF of 4175,3219?
The HCF of 4175,3219 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 4175/400, 3219/1150?
Answer: GCF of Numerators as per given numbers 4175/400, 3219/1150 is
GCF of Numerators i.e. for 4175,3219 is 1
LCM of denominators i.e. for 400,1150 is 9200.
Thus, GCF of Fractions is 1/9200.Finally, GCF of Fractions for 4175/400, 3219/1150 is 1/9200.