Use our free GCF of Fractions Calculator tool to compute the GCF of 155/684, 610/427 i.e 5/292068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/684, 610/427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/684,610/427
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 155/684,610/427, numerators are 155,610
Denominators are 684,427
The GCF of 155,610 is 5 .
LCM of 684,427 is 292068.
The greatest common factor of 155/684,610/427 = [GCF of 155,610]/[LCM of 684,427]= 5/292068
Therefore, the GCF of 155/684,610/427 is 5/292068.
To find the highest common factor of 155,610, 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 610 are 1, 2, 5, 10, 61, 122, 305, 610
The HCF of 155,610 is 5.
Lets's calculate GCF of 155,610
5 | 155, 610 |
31, 122 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 155,610 . The biggest common factor number is the GCF number.
So the greatest common factor 155,610 is 5.
Lets's calculate LCM of 684,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 292068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/292068
Therefore, the GCF of Fractions 155/684,610/427 is 5/292068
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 684,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,427) x common factors =1 x 1 = 1
LCM(684,427) = ( 684 × 427 ) / 1
LCM(684,427) = 292068 / 1
LCM(684,427) = 292068
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,610?
The HCF of 155,610 is 5
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 155/684, 610/427?
Answer: GCF of Numerators as per given numbers 155/684, 610/427 is
GCF of Numerators i.e. for 155,610 is 5
LCM of denominators i.e. for 684,427 is 292068.
Thus, GCF of Fractions is 5/292068.Finally, GCF of Fractions for 155/684, 610/427 is 5/292068.