Use our free GCF of Fractions Calculator tool to compute the GCF of 81/640, 91/950, 850/627 i.e 1/2006400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/640, 91/950, 850/627.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/640,91/950,850/627
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 81/640,91/950,850/627, numerators are 81,91,850
Denominators are 640,950,627
The GCF of 81,91,850 is 1 .
LCM of 640,950,627 is 2006400.
The greatest common factor of 81/640,91/950,850/627 = [GCF of 81,91,850]/[LCM of 640,950,627]= 1/2006400
Therefore, the GCF of 81/640,91/950,850/627 is 1/2006400.
To find the highest common factor of 81,91,850, 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 91 are 1, 7, 13, 91
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The HCF of 81,91,850 is 1.
Lets's calculate GCF of 81,91,850
∴ 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 91
:1,7,13,91
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 81,91,850 . The biggest common factor number is the GCF number.
So the greatest common factor 81,91,850 is 1.
Lets's calculate LCM of 640,950,627
2 | 640, 950, 627 |
5 | 320, 475, 627 |
19 | 64, 95, 627 |
64, 5, 33 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 64 x 5 x 33 = 2006400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006400
Therefore, the GCF of Fractions 81/640,91/950,850/627 is 1/2006400
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 640,950,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,950,627) = 1
common factors(in case of two or more numbers have common factors) = 190
GCF(640,950,627) x common factors =1 x 190 = 190
LCM(640,950,627) = ( 640 × 950 × 627 ) / 190
LCM(640,950,627) = 381216000 / 190
LCM(640,950,627) = 2006400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,91,850?
The HCF of 81,91,850 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 81/640, 91/950, 850/627?
Answer: GCF of Numerators as per given numbers 81/640, 91/950, 850/627 is
GCF of Numerators i.e. for 81,91,850 is 1
LCM of denominators i.e. for 640,950,627 is 2006400.
Thus, GCF of Fractions is 1/2006400.Finally, GCF of Fractions for 81/640, 91/950, 850/627 is 1/2006400.