Use our free GCF of Fractions Calculator tool to compute the GCF of 72/27, 35/201, 211/293 i.e 1/530037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/27, 35/201, 211/293.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/27,35/201,211/293
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 72/27,35/201,211/293, numerators are 72,35,211
Denominators are 27,201,293
The GCF of 72,35,211 is 1 .
LCM of 27,201,293 is 530037.
The greatest common factor of 72/27,35/201,211/293 = [GCF of 72,35,211]/[LCM of 27,201,293]= 1/530037
Therefore, the GCF of 72/27,35/201,211/293 is 1/530037.
To find the highest common factor of 72,35,211, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 35 are 1, 5, 7, 35
The factors of 211 are 1, 211
The HCF of 72,35,211 is 1.
Lets's calculate GCF of 72,35,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 211
:1,211
Greatest Common Factor
We found the factors 72,35,211 . The biggest common factor number is the GCF number.
So the greatest common factor 72,35,211 is 1.
Lets's calculate LCM of 27,201,293
3 | 27, 201, 293 |
9, 67, 293 |
∴ So the LCM of the given numbers is 3 x 9 x 67 x 293 = 530037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530037
Therefore, the GCF of Fractions 72/27,35/201,211/293 is 1/530037
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 27,201,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,201,293) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,201,293) x common factors =1 x 3 = 3
LCM(27,201,293) = ( 27 × 201 × 293 ) / 3
LCM(27,201,293) = 1590111 / 3
LCM(27,201,293) = 530037
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,35,211?
The HCF of 72,35,211 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 72/27, 35/201, 211/293?
Answer: GCF of Numerators as per given numbers 72/27, 35/201, 211/293 is
GCF of Numerators i.e. for 72,35,211 is 1
LCM of denominators i.e. for 27,201,293 is 530037.
Thus, GCF of Fractions is 1/530037.Finally, GCF of Fractions for 72/27, 35/201, 211/293 is 1/530037.