Use our free GCF of Fractions Calculator tool to compute the GCF of 183/756, 486/121 i.e 3/91476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 183/756, 486/121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/756,486/121
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 183/756,486/121, numerators are 183,486
Denominators are 756,121
The GCF of 183,486 is 3 .
LCM of 756,121 is 91476.
The greatest common factor of 183/756,486/121 = [GCF of 183,486]/[LCM of 756,121]= 3/91476
Therefore, the GCF of 183/756,486/121 is 3/91476.
To find the highest common factor of 183,486, we have to find the factors of both numbers and list the highest common factor.
The factors of 183 are 1, 3, 61, 183
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 183,486 is 3.
Lets's calculate GCF of 183,486
3 | 183, 486 |
61, 162 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 183
:1,3,61,183
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 183,486 . The biggest common factor number is the GCF number.
So the greatest common factor 183,486 is 3.
Lets's calculate LCM of 756,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 91476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91476
Therefore, the GCF of Fractions 183/756,486/121 is 3/91476
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 756,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,121) x common factors =1 x 1 = 1
LCM(756,121) = ( 756 × 121 ) / 1
LCM(756,121) = 91476 / 1
LCM(756,121) = 91476
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 183,486?
The HCF of 183,486 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 183/756, 486/121?
Answer: GCF of Numerators as per given numbers 183/756, 486/121 is
GCF of Numerators i.e. for 183,486 is 3
LCM of denominators i.e. for 756,121 is 91476.
Thus, GCF of Fractions is 3/91476.Finally, GCF of Fractions for 183/756, 486/121 is 3/91476.