GCF of 595/50, 973/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 595/50, 973/903 i.e 7/45150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/50, 973/903.
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 595/50,973/903?
Given fractions are 595/50,973/903
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 595/50,973/903, numerators are 595,973
Denominators are 50,903
The GCF of 595,973 is 7 .
LCM of 50,903 is 45150.
The greatest common factor of 595/50,973/903 = [GCF of 595,973]/[LCM of 50,903]= 7/45150
Therefore, the GCF of 595/50,973/903 is 7/45150.
To find the highest common factor of 595,973, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 973 are 1, 7, 139, 973
The HCF of 595,973 is 7.
Lets's calculate GCF of 595,973
| 7 | 595, 973 |
| 85, 139 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 595,973 By Matching Biggest Common Factor Method
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 973
:1,7,139,973
Greatest Common Factor
We found the factors 595,973 . The biggest common factor number is the GCF number.
So the greatest common factor 595,973 is 7.
Lets's calculate LCM of 50,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 45150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/45150
Therefore, the GCF of Fractions 595/50,973/903 is 7/45150
Least Common Multiple of 50,903 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 50,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,903) x common factors =1 x 1 = 1
LCM(50,903) = ( 50 × 903 ) / 1
LCM(50,903) = 45150 / 1
LCM(50,903) = 45150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 595/50, 973/903
1. What is the HCF of 595,973?
The HCF of 595,973 is 7
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 595/50, 973/903?
Answer: GCF of Numerators as per given numbers 595/50, 973/903 is
GCF of Numerators i.e. for 595,973 is 7
LCM of denominators i.e. for 50,903 is 45150.
Thus, GCF of Fractions is 7/45150.Finally, GCF of Fractions for 595/50, 973/903 is 7/45150.