Use our free GCF of Fractions Calculator tool to compute the GCF of 555/410, 3150/8712 i.e 15/1785960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/410, 3150/8712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/410,3150/8712
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 555/410,3150/8712, numerators are 555,3150
Denominators are 410,8712
The GCF of 555,3150 is 15 .
LCM of 410,8712 is 1785960.
The greatest common factor of 555/410,3150/8712 = [GCF of 555,3150]/[LCM of 410,8712]= 15/1785960
Therefore, the GCF of 555/410,3150/8712 is 15/1785960.
To find the highest common factor of 555,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 555,3150 is 15.
Lets's calculate GCF of 555,3150
3 | 555, 3150 |
5 | 185, 1050 |
37, 210 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 555,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 555,3150 is 15.
Lets's calculate LCM of 410,8712
2 | 410, 8712 |
205, 4356 |
∴ So the LCM of the given numbers is 2 x 205 x 4356 = 1785960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1785960
Therefore, the GCF of Fractions 555/410,3150/8712 is 15/1785960
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 410,8712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,8712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,8712) x common factors =2 x 1 = 2
LCM(410,8712) = ( 410 × 8712 ) / 2
LCM(410,8712) = 3571920 / 2
LCM(410,8712) = 1785960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 555,3150?
The HCF of 555,3150 is 15
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 555/410, 3150/8712?
Answer: GCF of Numerators as per given numbers 555/410, 3150/8712 is
GCF of Numerators i.e. for 555,3150 is 15
LCM of denominators i.e. for 410,8712 is 1785960.
Thus, GCF of Fractions is 15/1785960.Finally, GCF of Fractions for 555/410, 3150/8712 is 15/1785960.