GCF of 603/208, 8142/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 603/208, 8142/505 i.e 3/105040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/208, 8142/505.
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 603/208,8142/505?
Given fractions are 603/208,8142/505
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 603/208,8142/505, numerators are 603,8142
Denominators are 208,505
The GCF of 603,8142 is 3 .
LCM of 208,505 is 105040.
The greatest common factor of 603/208,8142/505 = [GCF of 603,8142]/[LCM of 208,505]= 3/105040
Therefore, the GCF of 603/208,8142/505 is 3/105040.
To find the highest common factor of 603,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 603,8142 is 3.
Lets's calculate GCF of 603,8142
| 3 | 603, 8142 |
| 201, 2714 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 603,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 603,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 603,8142 is 3.
Lets's calculate LCM of 208,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 105040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/105040
Therefore, the GCF of Fractions 603/208,8142/505 is 3/105040
Least Common Multiple of 208,505 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 208,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,505) x common factors =1 x 1 = 1
LCM(208,505) = ( 208 × 505 ) / 1
LCM(208,505) = 105040 / 1
LCM(208,505) = 105040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 603/208, 8142/505
1. What is the HCF of 603,8142?
The HCF of 603,8142 is 3
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 603/208, 8142/505?
Answer: GCF of Numerators as per given numbers 603/208, 8142/505 is
GCF of Numerators i.e. for 603,8142 is 3
LCM of denominators i.e. for 208,505 is 105040.
Thus, GCF of Fractions is 3/105040.Finally, GCF of Fractions for 603/208, 8142/505 is 3/105040.