Use our free GCF of Fractions Calculator tool to compute the GCF of 87/10, 518/46, 540/218 i.e 1/25070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/10, 518/46, 540/218.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/10,518/46,540/218
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 87/10,518/46,540/218, numerators are 87,518,540
Denominators are 10,46,218
The GCF of 87,518,540 is 1 .
LCM of 10,46,218 is 25070.
The greatest common factor of 87/10,518/46,540/218 = [GCF of 87,518,540]/[LCM of 10,46,218]= 1/25070
Therefore, the GCF of 87/10,518/46,540/218 is 1/25070.
To find the highest common factor of 87,518,540, 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 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The HCF of 87,518,540 is 1.
Lets's calculate GCF of 87,518,540
∴ 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 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 87,518,540 . The biggest common factor number is the GCF number.
So the greatest common factor 87,518,540 is 1.
Lets's calculate LCM of 10,46,218
2 | 10, 46, 218 |
5, 23, 109 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 109 = 25070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25070
Therefore, the GCF of Fractions 87/10,518/46,540/218 is 1/25070
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 10,46,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,46,218) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,46,218) x common factors =2 x 2 = 4
LCM(10,46,218) = ( 10 × 46 × 218 ) / 4
LCM(10,46,218) = 100280 / 4
LCM(10,46,218) = 25070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,518,540?
The HCF of 87,518,540 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 87/10, 518/46, 540/218?
Answer: GCF of Numerators as per given numbers 87/10, 518/46, 540/218 is
GCF of Numerators i.e. for 87,518,540 is 1
LCM of denominators i.e. for 10,46,218 is 25070.
Thus, GCF of Fractions is 1/25070.Finally, GCF of Fractions for 87/10, 518/46, 540/218 is 1/25070.