Use our free GCF of Fractions Calculator tool to compute the GCF of 81/53, 552/81, 553/752 i.e 1/3228336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/53, 552/81, 553/752.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/53,552/81,553/752
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 81/53,552/81,553/752, numerators are 81,552,553
Denominators are 53,81,752
The GCF of 81,552,553 is 1 .
LCM of 53,81,752 is 3228336.
The greatest common factor of 81/53,552/81,553/752 = [GCF of 81,552,553]/[LCM of 53,81,752]= 1/3228336
Therefore, the GCF of 81/53,552/81,553/752 is 1/3228336.
To find the highest common factor of 81,552,553, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 553 are 1, 7, 79, 553
The HCF of 81,552,553 is 1.
Lets's calculate GCF of 81,552,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 553
:1,7,79,553
Greatest Common Factor
We found the factors 81,552,553 . The biggest common factor number is the GCF number.
So the greatest common factor 81,552,553 is 1.
Lets's calculate LCM of 53,81,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 3228336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3228336
Therefore, the GCF of Fractions 81/53,552/81,553/752 is 1/3228336
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 53,81,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,81,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,81,752) x common factors =1 x 1 = 1
LCM(53,81,752) = ( 53 × 81 × 752 ) / 1
LCM(53,81,752) = 3228336 / 1
LCM(53,81,752) = 3228336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,552,553?
The HCF of 81,552,553 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 81/53, 552/81, 553/752?
Answer: GCF of Numerators as per given numbers 81/53, 552/81, 553/752 is
GCF of Numerators i.e. for 81,552,553 is 1
LCM of denominators i.e. for 53,81,752 is 3228336.
Thus, GCF of Fractions is 1/3228336.Finally, GCF of Fractions for 81/53, 552/81, 553/752 is 1/3228336.