Use our free GCF of Fractions Calculator tool to compute the GCF of 3/70, 13/33, 85/481, 341/562 i.e 1/312221910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/70, 13/33, 85/481, 341/562.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/70,13/33,85/481,341/562
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 3/70,13/33,85/481,341/562, numerators are 3,13,85,341
Denominators are 70,33,481,562
The GCF of 3,13,85,341 is 1 .
LCM of 70,33,481,562 is 312221910.
The greatest common factor of 3/70,13/33,85/481,341/562 = [GCF of 3,13,85,341]/[LCM of 70,33,481,562]= 1/312221910
Therefore, the GCF of 3/70,13/33,85/481,341/562 is 1/312221910.
To find the highest common factor of 3,13,85,341, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 13 are 1, 13
The factors of 85 are 1, 5, 17, 85
The factors of 341 are 1, 11, 31, 341
The HCF of 3,13,85,341 is 1.
Lets's calculate GCF of 3,13,85,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 13
:1,13
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 341
:1,11,31,341
Greatest Common Factor
We found the factors 3,13,85,341 . The biggest common factor number is the GCF number.
So the greatest common factor 3,13,85,341 is 1.
Lets's calculate LCM of 70,33,481,562
2 | 70, 33, 481, 562 |
35, 33, 481, 281 |
∴ So the LCM of the given numbers is 2 x 35 x 33 x 481 x 281 = 312221910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312221910
Therefore, the GCF of Fractions 3/70,13/33,85/481,341/562 is 1/312221910
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 70,33,481,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,33,481,562) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,33,481,562) x common factors =1 x 2 = 2
LCM(70,33,481,562) = ( 70 × 33 × 481 × 562 ) / 2
LCM(70,33,481,562) = 624443820 / 2
LCM(70,33,481,562) = 312221910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,13,85,341?
The HCF of 3,13,85,341 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 3/70, 13/33, 85/481, 341/562?
Answer: GCF of Numerators as per given numbers 3/70, 13/33, 85/481, 341/562 is
GCF of Numerators i.e. for 3,13,85,341 is 1
LCM of denominators i.e. for 70,33,481,562 is 312221910.
Thus, GCF of Fractions is 1/312221910.Finally, GCF of Fractions for 3/70, 13/33, 85/481, 341/562 is 1/312221910.