Use our free GCF of Fractions Calculator tool to compute the GCF of 618/414, 882/250 i.e 6/51750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/414, 882/250.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/414,882/250
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 618/414,882/250, numerators are 618,882
Denominators are 414,250
The GCF of 618,882 is 6 .
LCM of 414,250 is 51750.
The greatest common factor of 618/414,882/250 = [GCF of 618,882]/[LCM of 414,250]= 6/51750
Therefore, the GCF of 618/414,882/250 is 6/51750.
To find the highest common factor of 618,882, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
The HCF of 618,882 is 6.
Lets's calculate GCF of 618,882
2 | 618, 882 |
3 | 309, 441 |
103, 147 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 882
:1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 618,882 . The biggest common factor number is the GCF number.
So the greatest common factor 618,882 is 6.
Lets's calculate LCM of 414,250
2 | 414, 250 |
207, 125 |
∴ So the LCM of the given numbers is 2 x 207 x 125 = 51750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/51750
Therefore, the GCF of Fractions 618/414,882/250 is 6/51750
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 414,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,250) x common factors =2 x 1 = 2
LCM(414,250) = ( 414 × 250 ) / 2
LCM(414,250) = 103500 / 2
LCM(414,250) = 51750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 618,882?
The HCF of 618,882 is 6
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 618/414, 882/250?
Answer: GCF of Numerators as per given numbers 618/414, 882/250 is
GCF of Numerators i.e. for 618,882 is 6
LCM of denominators i.e. for 414,250 is 51750.
Thus, GCF of Fractions is 6/51750.Finally, GCF of Fractions for 618/414, 882/250 is 6/51750.