Use our free GCF of Fractions Calculator tool to compute the GCF of 8/27, 16/49, 70/131, 141/949 i.e 1/164474037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/27, 16/49, 70/131, 141/949.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/27,16/49,70/131,141/949
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 8/27,16/49,70/131,141/949, numerators are 8,16,70,141
Denominators are 27,49,131,949
The GCF of 8,16,70,141 is 1 .
LCM of 27,49,131,949 is 164474037.
The greatest common factor of 8/27,16/49,70/131,141/949 = [GCF of 8,16,70,141]/[LCM of 27,49,131,949]= 1/164474037
Therefore, the GCF of 8/27,16/49,70/131,141/949 is 1/164474037.
To find the highest common factor of 8,16,70,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 16 are 1, 2, 4, 8, 16
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 141 are 1, 3, 47, 141
The HCF of 8,16,70,141 is 1.
Lets's calculate GCF of 8,16,70,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 8,16,70,141 . The biggest common factor number is the GCF number.
So the greatest common factor 8,16,70,141 is 1.
Lets's calculate LCM of 27,49,131,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 164474037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164474037
Therefore, the GCF of Fractions 8/27,16/49,70/131,141/949 is 1/164474037
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 27,49,131,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,49,131,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,49,131,949) x common factors =1 x 1 = 1
LCM(27,49,131,949) = ( 27 × 49 × 131 × 949 ) / 1
LCM(27,49,131,949) = 164474037 / 1
LCM(27,49,131,949) = 164474037
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,16,70,141?
The HCF of 8,16,70,141 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 8/27, 16/49, 70/131, 141/949?
Answer: GCF of Numerators as per given numbers 8/27, 16/49, 70/131, 141/949 is
GCF of Numerators i.e. for 8,16,70,141 is 1
LCM of denominators i.e. for 27,49,131,949 is 164474037.
Thus, GCF of Fractions is 1/164474037.Finally, GCF of Fractions for 8/27, 16/49, 70/131, 141/949 is 1/164474037.