Use our free GCF of Fractions Calculator tool to compute the GCF of 87/94, 849/99, 715/360 i.e 1/186120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/94, 849/99, 715/360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/94,849/99,715/360
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 87/94,849/99,715/360, numerators are 87,849,715
Denominators are 94,99,360
The GCF of 87,849,715 is 1 .
LCM of 94,99,360 is 186120.
The greatest common factor of 87/94,849/99,715/360 = [GCF of 87,849,715]/[LCM of 94,99,360]= 1/186120
Therefore, the GCF of 87/94,849/99,715/360 is 1/186120.
To find the highest common factor of 87,849,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 849 are 1, 3, 283, 849
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 87,849,715 is 1.
Lets's calculate GCF of 87,849,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 87,849,715 . The biggest common factor number is the GCF number.
So the greatest common factor 87,849,715 is 1.
Lets's calculate LCM of 94,99,360
2 | 94, 99, 360 |
3 | 47, 99, 180 |
3 | 47, 33, 60 |
47, 11, 20 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 11 x 20 = 186120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186120
Therefore, the GCF of Fractions 87/94,849/99,715/360 is 1/186120
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 94,99,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,99,360) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(94,99,360) x common factors =1 x 18 = 18
LCM(94,99,360) = ( 94 × 99 × 360 ) / 18
LCM(94,99,360) = 3350160 / 18
LCM(94,99,360) = 186120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,849,715?
The HCF of 87,849,715 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 87/94, 849/99, 715/360?
Answer: GCF of Numerators as per given numbers 87/94, 849/99, 715/360 is
GCF of Numerators i.e. for 87,849,715 is 1
LCM of denominators i.e. for 94,99,360 is 186120.
Thus, GCF of Fractions is 1/186120.Finally, GCF of Fractions for 87/94, 849/99, 715/360 is 1/186120.