GCF of 450/506, 596/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 450/506, 596/860 i.e 2/217580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/506, 596/860.
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 450/506,596/860?
Given fractions are 450/506,596/860
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 450/506,596/860, numerators are 450,596
Denominators are 506,860
The GCF of 450,596 is 2 .
LCM of 506,860 is 217580.
The greatest common factor of 450/506,596/860 = [GCF of 450,596]/[LCM of 506,860]= 2/217580
Therefore, the GCF of 450/506,596/860 is 2/217580.
To find the highest common factor of 450,596, we have to find the factors of both numbers and list the highest common factor.
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 596 are 1, 2, 4, 149, 298, 596
The HCF of 450,596 is 2.
Lets's calculate GCF of 450,596
| 2 | 450, 596 |
| 225, 298 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 450,596 By Matching Biggest Common Factor Method
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Now, list down the factors of 596
:1,2,4,149,298,596
Greatest Common Factor
We found the factors 450,596 . The biggest common factor number is the GCF number.
So the greatest common factor 450,596 is 2.
Lets's calculate LCM of 506,860
| 2 | 506, 860 |
| 253, 430 |
∴ So the LCM of the given numbers is 2 x 253 x 430 = 217580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217580
Therefore, the GCF of Fractions 450/506,596/860 is 2/217580
Least Common Multiple of 506,860 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 506,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,860) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,860) x common factors =2 x 1 = 2
LCM(506,860) = ( 506 × 860 ) / 2
LCM(506,860) = 435160 / 2
LCM(506,860) = 217580
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 450/506, 596/860
1. What is the HCF of 450,596?
The HCF of 450,596 is 2
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 450/506, 596/860?
Answer: GCF of Numerators as per given numbers 450/506, 596/860 is
GCF of Numerators i.e. for 450,596 is 2
LCM of denominators i.e. for 506,860 is 217580.
Thus, GCF of Fractions is 2/217580.Finally, GCF of Fractions for 450/506, 596/860 is 2/217580.