Use our free GCF of Fractions Calculator tool to compute the GCF of 216/837, 727/638 i.e 1/534006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/837, 727/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/837,727/638
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 216/837,727/638, numerators are 216,727
Denominators are 837,638
The GCF of 216,727 is 1 .
LCM of 837,638 is 534006.
The greatest common factor of 216/837,727/638 = [GCF of 216,727]/[LCM of 837,638]= 1/534006
Therefore, the GCF of 216/837,727/638 is 1/534006.
To find the highest common factor of 216,727, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 727 are 1, 727
The HCF of 216,727 is 1.
Lets's calculate GCF of 216,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 727
:1,727
Greatest Common Factor
We found the factors 216,727 . The biggest common factor number is the GCF number.
So the greatest common factor 216,727 is 1.
Lets's calculate LCM of 837,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 534006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534006
Therefore, the GCF of Fractions 216/837,727/638 is 1/534006
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 837,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,638) x common factors =1 x 1 = 1
LCM(837,638) = ( 837 × 638 ) / 1
LCM(837,638) = 534006 / 1
LCM(837,638) = 534006
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 216,727?
The HCF of 216,727 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 216/837, 727/638?
Answer: GCF of Numerators as per given numbers 216/837, 727/638 is
GCF of Numerators i.e. for 216,727 is 1
LCM of denominators i.e. for 837,638 is 534006.
Thus, GCF of Fractions is 1/534006.Finally, GCF of Fractions for 216/837, 727/638 is 1/534006.