Use our free GCF of Fractions Calculator tool to compute the GCF of 4/68, 18/81, 45/558, 431/709 i.e 1/121060332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/68, 18/81, 45/558, 431/709.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/68,18/81,45/558,431/709
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 4/68,18/81,45/558,431/709, numerators are 4,18,45,431
Denominators are 68,81,558,709
The GCF of 4,18,45,431 is 1 .
LCM of 68,81,558,709 is 121060332.
The greatest common factor of 4/68,18/81,45/558,431/709 = [GCF of 4,18,45,431]/[LCM of 68,81,558,709]= 1/121060332
Therefore, the GCF of 4/68,18/81,45/558,431/709 is 1/121060332.
To find the highest common factor of 4,18,45,431, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 431 are 1, 431
The HCF of 4,18,45,431 is 1.
Lets's calculate GCF of 4,18,45,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 431
:1,431
Greatest Common Factor
We found the factors 4,18,45,431 . The biggest common factor number is the GCF number.
So the greatest common factor 4,18,45,431 is 1.
Lets's calculate LCM of 68,81,558,709
2 | 68, 81, 558, 709 |
3 | 34, 81, 279, 709 |
3 | 34, 27, 93, 709 |
34, 9, 31, 709 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 34 x 9 x 31 x 709 = 121060332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121060332
Therefore, the GCF of Fractions 4/68,18/81,45/558,431/709 is 1/121060332
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 68,81,558,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,81,558,709) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(68,81,558,709) x common factors =1 x 18 = 18
LCM(68,81,558,709) = ( 68 × 81 × 558 × 709 ) / 18
LCM(68,81,558,709) = 2179085976 / 18
LCM(68,81,558,709) = 121060332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,18,45,431?
The HCF of 4,18,45,431 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 4/68, 18/81, 45/558, 431/709?
Answer: GCF of Numerators as per given numbers 4/68, 18/81, 45/558, 431/709 is
GCF of Numerators i.e. for 4,18,45,431 is 1
LCM of denominators i.e. for 68,81,558,709 is 121060332.
Thus, GCF of Fractions is 1/121060332.Finally, GCF of Fractions for 4/68, 18/81, 45/558, 431/709 is 1/121060332.