Use our free GCF of Fractions Calculator tool to compute the GCF of 8/70, 40/27, 12/257, 424/961 i.e 4/466786530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/70, 40/27, 12/257, 424/961.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/70,40/27,12/257,424/961
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 8/70,40/27,12/257,424/961, numerators are 8,40,12,424
Denominators are 70,27,257,961
The GCF of 8,40,12,424 is 4 .
LCM of 70,27,257,961 is 466786530.
The greatest common factor of 8/70,40/27,12/257,424/961 = [GCF of 8,40,12,424]/[LCM of 70,27,257,961]= 4/466786530
Therefore, the GCF of 8/70,40/27,12/257,424/961 is 4/466786530.
To find the highest common factor of 8,40,12,424, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 8,40,12,424 is 4.
Lets's calculate GCF of 8,40,12,424
2 | 8, 40, 12, 424 |
2 | 4, 20, 6, 212 |
2, 10, 3, 106 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 8,40,12,424 . The biggest common factor number is the GCF number.
So the greatest common factor 8,40,12,424 is 4.
Lets's calculate LCM of 70,27,257,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 466786530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/466786530
Therefore, the GCF of Fractions 8/70,40/27,12/257,424/961 is 4/466786530
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 70,27,257,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,27,257,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,27,257,961) x common factors =1 x 1 = 1
LCM(70,27,257,961) = ( 70 × 27 × 257 × 961 ) / 1
LCM(70,27,257,961) = 466786530 / 1
LCM(70,27,257,961) = 466786530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,40,12,424?
The HCF of 8,40,12,424 is 4
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 8/70, 40/27, 12/257, 424/961?
Answer: GCF of Numerators as per given numbers 8/70, 40/27, 12/257, 424/961 is
GCF of Numerators i.e. for 8,40,12,424 is 4
LCM of denominators i.e. for 70,27,257,961 is 466786530.
Thus, GCF of Fractions is 4/466786530.Finally, GCF of Fractions for 8/70, 40/27, 12/257, 424/961 is 4/466786530.