GCF of 7554/162, 4195/4604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7554/162, 4195/4604 i.e 1/372924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7554/162, 4195/4604.
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 7554/162,4195/4604?
Given fractions are 7554/162,4195/4604
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 7554/162,4195/4604, numerators are 7554,4195
Denominators are 162,4604
The GCF of 7554,4195 is 1 .
LCM of 162,4604 is 372924.
The greatest common factor of 7554/162,4195/4604 = [GCF of 7554,4195]/[LCM of 162,4604]= 1/372924
Therefore, the GCF of 7554/162,4195/4604 is 1/372924.
To find the highest common factor of 7554,4195, we have to find the factors of both numbers and list the highest common factor.
The factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554
The factors of 4195 are 1, 5, 839, 4195
The HCF of 7554,4195 is 1.
Lets's calculate GCF of 7554,4195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7554,4195 By Matching Biggest Common Factor Method
Now, list down the factors of 7554
:1,2,3,6,1259,2518,3777,7554
Now, list down the factors of 4195
:1,5,839,4195
Greatest Common Factor
We found the factors 7554,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 7554,4195 is 1.
Lets's calculate LCM of 162,4604
| 2 | 162, 4604 |
| 81, 2302 |
∴ So the LCM of the given numbers is 2 x 81 x 2302 = 372924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372924
Therefore, the GCF of Fractions 7554/162,4195/4604 is 1/372924
Least Common Multiple of 162,4604 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 162,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,4604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,4604) x common factors =2 x 1 = 2
LCM(162,4604) = ( 162 × 4604 ) / 2
LCM(162,4604) = 745848 / 2
LCM(162,4604) = 372924
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7554/162, 4195/4604
1. What is the HCF of 7554,4195?
The HCF of 7554,4195 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 7554/162, 4195/4604?
Answer: GCF of Numerators as per given numbers 7554/162, 4195/4604 is
GCF of Numerators i.e. for 7554,4195 is 1
LCM of denominators i.e. for 162,4604 is 372924.
Thus, GCF of Fractions is 1/372924.Finally, GCF of Fractions for 7554/162, 4195/4604 is 1/372924.