Use our free GCF of Fractions Calculator tool to compute the GCF of 5967/216, 6002/542 i.e 1/58536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5967/216, 6002/542.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5967/216,6002/542
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 5967/216,6002/542, numerators are 5967,6002
Denominators are 216,542
The GCF of 5967,6002 is 1 .
LCM of 216,542 is 58536.
The greatest common factor of 5967/216,6002/542 = [GCF of 5967,6002]/[LCM of 216,542]= 1/58536
Therefore, the GCF of 5967/216,6002/542 is 1/58536.
To find the highest common factor of 5967,6002, we have to find the factors of both numbers and list the highest common factor.
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The factors of 6002 are 1, 2, 3001, 6002
The HCF of 5967,6002 is 1.
Lets's calculate GCF of 5967,6002
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Now, list down the factors of 6002
:1,2,3001,6002
Greatest Common Factor
We found the factors 5967,6002 . The biggest common factor number is the GCF number.
So the greatest common factor 5967,6002 is 1.
Lets's calculate LCM of 216,542
2 | 216, 542 |
108, 271 |
∴ So the LCM of the given numbers is 2 x 108 x 271 = 58536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58536
Therefore, the GCF of Fractions 5967/216,6002/542 is 1/58536
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 216,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(216,542) x common factors =2 x 1 = 2
LCM(216,542) = ( 216 × 542 ) / 2
LCM(216,542) = 117072 / 2
LCM(216,542) = 58536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5967,6002?
The HCF of 5967,6002 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 5967/216, 6002/542?
Answer: GCF of Numerators as per given numbers 5967/216, 6002/542 is
GCF of Numerators i.e. for 5967,6002 is 1
LCM of denominators i.e. for 216,542 is 58536.
Thus, GCF of Fractions is 1/58536.Finally, GCF of Fractions for 5967/216, 6002/542 is 1/58536.