Use our free GCF of Fractions Calculator tool to compute the GCF of 995/756, 618/450 i.e 1/18900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/756, 618/450.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 995/756,618/450
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 995/756,618/450, numerators are 995,618
Denominators are 756,450
The GCF of 995,618 is 1 .
LCM of 756,450 is 18900.
The greatest common factor of 995/756,618/450 = [GCF of 995,618]/[LCM of 756,450]= 1/18900
Therefore, the GCF of 995/756,618/450 is 1/18900.
To find the highest common factor of 995,618, we have to find the factors of both numbers and list the highest common factor.
The factors of 995 are 1, 5, 199, 995
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The HCF of 995,618 is 1.
Lets's calculate GCF of 995,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 995,618 . The biggest common factor number is the GCF number.
So the greatest common factor 995,618 is 1.
Lets's calculate LCM of 756,450
2 | 756, 450 |
3 | 378, 225 |
3 | 126, 75 |
42, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 42 x 25 = 18900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18900
Therefore, the GCF of Fractions 995/756,618/450 is 1/18900
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 756,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,450) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(756,450) x common factors =18 x 1 = 18
LCM(756,450) = ( 756 × 450 ) / 18
LCM(756,450) = 340200 / 18
LCM(756,450) = 18900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 995,618?
The HCF of 995,618 is 1
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 995/756, 618/450?
Answer: GCF of Numerators as per given numbers 995/756, 618/450 is
GCF of Numerators i.e. for 995,618 is 1
LCM of denominators i.e. for 756,450 is 18900.
Thus, GCF of Fractions is 1/18900.Finally, GCF of Fractions for 995/756, 618/450 is 1/18900.