Use our free GCF of Fractions Calculator tool to compute the GCF of 36/885, 87/749, 992/149 i.e 1/98766885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/885, 87/749, 992/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/885,87/749,992/149
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 36/885,87/749,992/149, numerators are 36,87,992
Denominators are 885,749,149
The GCF of 36,87,992 is 1 .
LCM of 885,749,149 is 98766885.
The greatest common factor of 36/885,87/749,992/149 = [GCF of 36,87,992]/[LCM of 885,749,149]= 1/98766885
Therefore, the GCF of 36/885,87/749,992/149 is 1/98766885.
To find the highest common factor of 36,87,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 87 are 1, 3, 29, 87
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 36,87,992 is 1.
Lets's calculate GCF of 36,87,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 36,87,992 . The biggest common factor number is the GCF number.
So the greatest common factor 36,87,992 is 1.
Lets's calculate LCM of 885,749,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 98766885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98766885
Therefore, the GCF of Fractions 36/885,87/749,992/149 is 1/98766885
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 885,749,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,749,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,749,149) x common factors =1 x 1 = 1
LCM(885,749,149) = ( 885 × 749 × 149 ) / 1
LCM(885,749,149) = 98766885 / 1
LCM(885,749,149) = 98766885
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,87,992?
The HCF of 36,87,992 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 36/885, 87/749, 992/149?
Answer: GCF of Numerators as per given numbers 36/885, 87/749, 992/149 is
GCF of Numerators i.e. for 36,87,992 is 1
LCM of denominators i.e. for 885,749,149 is 98766885.
Thus, GCF of Fractions is 1/98766885.Finally, GCF of Fractions for 36/885, 87/749, 992/149 is 1/98766885.