GCF of 25/216, 7175/3576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/216, 7175/3576 i.e 25/32184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/216, 7175/3576.
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 25/216,7175/3576?
Given fractions are 25/216,7175/3576
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 25/216,7175/3576, numerators are 25,7175
Denominators are 216,3576
The GCF of 25,7175 is 25 .
LCM of 216,3576 is 32184.
The greatest common factor of 25/216,7175/3576 = [GCF of 25,7175]/[LCM of 216,3576]= 25/32184
Therefore, the GCF of 25/216,7175/3576 is 25/32184.
To find the highest common factor of 25,7175, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175
The HCF of 25,7175 is 25.
Lets's calculate GCF of 25,7175
| 5 | 25, 7175 |
| 5 | 5, 1435 |
| 1, 287 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 25,7175 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 7175
:1,5,7,25,35,41,175,205,287,1025,1435,7175
Greatest Common Factor
We found the factors 25,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 25,7175 is 25.
Lets's calculate LCM of 216,3576
| 2 | 216, 3576 |
| 2 | 108, 1788 |
| 2 | 54, 894 |
| 3 | 27, 447 |
| 9, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 149 = 32184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/32184
Therefore, the GCF of Fractions 25/216,7175/3576 is 25/32184
Least Common Multiple of 216,3576 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 216,3576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,3576) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(216,3576) x common factors =24 x 1 = 24
LCM(216,3576) = ( 216 × 3576 ) / 24
LCM(216,3576) = 772416 / 24
LCM(216,3576) = 32184
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 25/216, 7175/3576
1. What is the HCF of 25,7175?
The HCF of 25,7175 is 25
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 25/216, 7175/3576?
Answer: GCF of Numerators as per given numbers 25/216, 7175/3576 is
GCF of Numerators i.e. for 25,7175 is 25
LCM of denominators i.e. for 216,3576 is 32184.
Thus, GCF of Fractions is 25/32184.Finally, GCF of Fractions for 25/216, 7175/3576 is 25/32184.