Use our free GCF of Fractions Calculator tool to compute the GCF of 543/411, 180/967 i.e 3/397437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/411, 180/967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/411,180/967
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 543/411,180/967, numerators are 543,180
Denominators are 411,967
The GCF of 543,180 is 3 .
LCM of 411,967 is 397437.
The greatest common factor of 543/411,180/967 = [GCF of 543,180]/[LCM of 411,967]= 3/397437
Therefore, the GCF of 543/411,180/967 is 3/397437.
To find the highest common factor of 543,180, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
The HCF of 543,180 is 3.
Lets's calculate GCF of 543,180
3 | 543, 180 |
181, 60 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 180
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 543,180 . The biggest common factor number is the GCF number.
So the greatest common factor 543,180 is 3.
Lets's calculate LCM of 411,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 397437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/397437
Therefore, the GCF of Fractions 543/411,180/967 is 3/397437
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 411,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,967) x common factors =1 x 1 = 1
LCM(411,967) = ( 411 × 967 ) / 1
LCM(411,967) = 397437 / 1
LCM(411,967) = 397437
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 543,180?
The HCF of 543,180 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 543/411, 180/967?
Answer: GCF of Numerators as per given numbers 543/411, 180/967 is
GCF of Numerators i.e. for 543,180 is 3
LCM of denominators i.e. for 411,967 is 397437.
Thus, GCF of Fractions is 3/397437.Finally, GCF of Fractions for 543/411, 180/967 is 3/397437.