GCF of 3597/427, 8175/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3597/427, 8175/562 i.e 327/239974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3597/427, 8175/562.
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 3597/427,8175/562?
Given fractions are 3597/427,8175/562
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 3597/427,8175/562, numerators are 3597,8175
Denominators are 427,562
The GCF of 3597,8175 is 327 .
LCM of 427,562 is 239974.
The greatest common factor of 3597/427,8175/562 = [GCF of 3597,8175]/[LCM of 427,562]= 327/239974
Therefore, the GCF of 3597/427,8175/562 is 327/239974.
To find the highest common factor of 3597,8175, we have to find the factors of both numbers and list the highest common factor.
The factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597
The factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
The HCF of 3597,8175 is 327.
Lets's calculate GCF of 3597,8175
| 3 | 3597, 8175 |
| 109 | 1199, 2725 |
| 11, 25 |
∴ So the GCF of the given numbers is 3 x 109 = 327
Greatest Common Factor of 3597,8175 By Matching Biggest Common Factor Method
Now, list down the factors of 3597
:1,3,11,33,109,327,1199,3597
Now, list down the factors of 8175
:1,3,5,15,25,75,109,327,545,1635,2725,8175
Greatest Common Factor
We found the factors 3597,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 3597,8175 is 327.
Lets's calculate LCM of 427,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 239974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 327/239974
Therefore, the GCF of Fractions 3597/427,8175/562 is 327/239974
Least Common Multiple of 427,562 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 427,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,562) x common factors =1 x 1 = 1
LCM(427,562) = ( 427 × 562 ) / 1
LCM(427,562) = 239974 / 1
LCM(427,562) = 239974
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3597/427, 8175/562
1. What is the HCF of 3597,8175?
The HCF of 3597,8175 is 327
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 3597/427, 8175/562?
Answer: GCF of Numerators as per given numbers 3597/427, 8175/562 is
GCF of Numerators i.e. for 3597,8175 is 327
LCM of denominators i.e. for 427,562 is 239974.
Thus, GCF of Fractions is 327/239974.Finally, GCF of Fractions for 3597/427, 8175/562 is 327/239974.