Use our free GCF of Fractions Calculator tool to compute the GCF of 155/438, 714/618 i.e 1/45114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/438, 714/618.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/438,714/618
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 155/438,714/618, numerators are 155,714
Denominators are 438,618
The GCF of 155,714 is 1 .
LCM of 438,618 is 45114.
The greatest common factor of 155/438,714/618 = [GCF of 155,714]/[LCM of 438,618]= 1/45114
Therefore, the GCF of 155/438,714/618 is 1/45114.
To find the highest common factor of 155,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 155,714 is 1.
Lets's calculate GCF of 155,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 155,714 . The biggest common factor number is the GCF number.
So the greatest common factor 155,714 is 1.
Lets's calculate LCM of 438,618
2 | 438, 618 |
3 | 219, 309 |
73, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 103 = 45114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45114
Therefore, the GCF of Fractions 155/438,714/618 is 1/45114
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 438,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,618) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,618) x common factors =6 x 1 = 6
LCM(438,618) = ( 438 × 618 ) / 6
LCM(438,618) = 270684 / 6
LCM(438,618) = 45114
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,714?
The HCF of 155,714 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 155/438, 714/618?
Answer: GCF of Numerators as per given numbers 155/438, 714/618 is
GCF of Numerators i.e. for 155,714 is 1
LCM of denominators i.e. for 438,618 is 45114.
Thus, GCF of Fractions is 1/45114.Finally, GCF of Fractions for 155/438, 714/618 is 1/45114.