Use our free GCF of Fractions Calculator tool to compute the GCF of 3063/875, 9822/3678 i.e 3/3218250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3063/875, 9822/3678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3063/875,9822/3678
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 3063/875,9822/3678, numerators are 3063,9822
Denominators are 875,3678
The GCF of 3063,9822 is 3 .
LCM of 875,3678 is 3218250.
The greatest common factor of 3063/875,9822/3678 = [GCF of 3063,9822]/[LCM of 875,3678]= 3/3218250
Therefore, the GCF of 3063/875,9822/3678 is 3/3218250.
To find the highest common factor of 3063,9822, we have to find the factors of both numbers and list the highest common factor.
The factors of 3063 are 1, 3, 1021, 3063
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The HCF of 3063,9822 is 3.
Lets's calculate GCF of 3063,9822
3 | 3063, 9822 |
1021, 3274 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 3063
:1,3,1021,3063
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Greatest Common Factor
We found the factors 3063,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 3063,9822 is 3.
Lets's calculate LCM of 875,3678
Given numbers has no common factors except 1. So, there LCM is their product i.e 3218250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3218250
Therefore, the GCF of Fractions 3063/875,9822/3678 is 3/3218250
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 875,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,3678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,3678) x common factors =1 x 1 = 1
LCM(875,3678) = ( 875 × 3678 ) / 1
LCM(875,3678) = 3218250 / 1
LCM(875,3678) = 3218250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3063,9822?
The HCF of 3063,9822 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 3063/875, 9822/3678?
Answer: GCF of Numerators as per given numbers 3063/875, 9822/3678 is
GCF of Numerators i.e. for 3063,9822 is 3
LCM of denominators i.e. for 875,3678 is 3218250.
Thus, GCF of Fractions is 3/3218250.Finally, GCF of Fractions for 3063/875, 9822/3678 is 3/3218250.