Use our free GCF of Fractions Calculator tool to compute the GCF of 604/900, 516/800 i.e 4/7200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/900, 516/800.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/900,516/800
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 604/900,516/800, numerators are 604,516
Denominators are 900,800
The GCF of 604,516 is 4 .
LCM of 900,800 is 7200.
The greatest common factor of 604/900,516/800 = [GCF of 604,516]/[LCM of 900,800]= 4/7200
Therefore, the GCF of 604/900,516/800 is 4/7200.
To find the highest common factor of 604,516, we have to find the factors of both numbers and list the highest common factor.
The factors of 604 are 1, 2, 4, 151, 302, 604
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The HCF of 604,516 is 4.
Lets's calculate GCF of 604,516
2 | 604, 516 |
2 | 302, 258 |
151, 129 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 604
:1,2,4,151,302,604
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 604,516 . The biggest common factor number is the GCF number.
So the greatest common factor 604,516 is 4.
Lets's calculate LCM of 900,800
2 | 900, 800 |
2 | 450, 400 |
5 | 225, 200 |
5 | 45, 40 |
9, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 9 x 8 = 7200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7200
Therefore, the GCF of Fractions 604/900,516/800 is 4/7200
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 900,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,800) = 100
common factors(in case of two or more numbers have common factors) = 1
GCF(900,800) x common factors =100 x 1 = 100
LCM(900,800) = ( 900 × 800 ) / 100
LCM(900,800) = 720000 / 100
LCM(900,800) = 7200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 604,516?
The HCF of 604,516 is 4
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 604/900, 516/800?
Answer: GCF of Numerators as per given numbers 604/900, 516/800 is
GCF of Numerators i.e. for 604,516 is 4
LCM of denominators i.e. for 900,800 is 7200.
Thus, GCF of Fractions is 4/7200.Finally, GCF of Fractions for 604/900, 516/800 is 4/7200.