Use our free GCF of Fractions Calculator tool to compute the GCF of 86/42, 247/13, 155/759 i.e 1/138138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/42, 247/13, 155/759.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/42,247/13,155/759
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 86/42,247/13,155/759, numerators are 86,247,155
Denominators are 42,13,759
The GCF of 86,247,155 is 1 .
LCM of 42,13,759 is 138138.
The greatest common factor of 86/42,247/13,155/759 = [GCF of 86,247,155]/[LCM of 42,13,759]= 1/138138
Therefore, the GCF of 86/42,247/13,155/759 is 1/138138.
To find the highest common factor of 86,247,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 247 are 1, 13, 19, 247
The factors of 155 are 1, 5, 31, 155
The HCF of 86,247,155 is 1.
Lets's calculate GCF of 86,247,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 247
:1,13,19,247
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 86,247,155 . The biggest common factor number is the GCF number.
So the greatest common factor 86,247,155 is 1.
Lets's calculate LCM of 42,13,759
3 | 42, 13, 759 |
14, 13, 253 |
∴ So the LCM of the given numbers is 3 x 14 x 13 x 253 = 138138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138138
Therefore, the GCF of Fractions 86/42,247/13,155/759 is 1/138138
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 42,13,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,13,759) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(42,13,759) x common factors =1 x 3 = 3
LCM(42,13,759) = ( 42 × 13 × 759 ) / 3
LCM(42,13,759) = 414414 / 3
LCM(42,13,759) = 138138
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,247,155?
The HCF of 86,247,155 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 86/42, 247/13, 155/759?
Answer: GCF of Numerators as per given numbers 86/42, 247/13, 155/759 is
GCF of Numerators i.e. for 86,247,155 is 1
LCM of denominators i.e. for 42,13,759 is 138138.
Thus, GCF of Fractions is 1/138138.Finally, GCF of Fractions for 86/42, 247/13, 155/759 is 1/138138.