Use our free GCF of Fractions Calculator tool to compute the GCF of 70/130, 23/382, 424/939 i.e 1/23315370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/130, 23/382, 424/939.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/130,23/382,424/939
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 70/130,23/382,424/939, numerators are 70,23,424
Denominators are 130,382,939
The GCF of 70,23,424 is 1 .
LCM of 130,382,939 is 23315370.
The greatest common factor of 70/130,23/382,424/939 = [GCF of 70,23,424]/[LCM of 130,382,939]= 1/23315370
Therefore, the GCF of 70/130,23/382,424/939 is 1/23315370.
To find the highest common factor of 70,23,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 23 are 1, 23
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 70,23,424 is 1.
Lets's calculate GCF of 70,23,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 23
:1,23
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 70,23,424 . The biggest common factor number is the GCF number.
So the greatest common factor 70,23,424 is 1.
Lets's calculate LCM of 130,382,939
2 | 130, 382, 939 |
65, 191, 939 |
∴ So the LCM of the given numbers is 2 x 65 x 191 x 939 = 23315370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23315370
Therefore, the GCF of Fractions 70/130,23/382,424/939 is 1/23315370
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 130,382,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,382,939) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(130,382,939) x common factors =1 x 2 = 2
LCM(130,382,939) = ( 130 × 382 × 939 ) / 2
LCM(130,382,939) = 46630740 / 2
LCM(130,382,939) = 23315370
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,23,424?
The HCF of 70,23,424 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 70/130, 23/382, 424/939?
Answer: GCF of Numerators as per given numbers 70/130, 23/382, 424/939 is
GCF of Numerators i.e. for 70,23,424 is 1
LCM of denominators i.e. for 130,382,939 is 23315370.
Thus, GCF of Fractions is 1/23315370.Finally, GCF of Fractions for 70/130, 23/382, 424/939 is 1/23315370.