Use our free GCF of Fractions Calculator tool to compute the GCF of 34/874, 82/401, 480/452 i.e 2/79207124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/874, 82/401, 480/452.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/874,82/401,480/452
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 34/874,82/401,480/452, numerators are 34,82,480
Denominators are 874,401,452
The GCF of 34,82,480 is 2 .
LCM of 874,401,452 is 79207124.
The greatest common factor of 34/874,82/401,480/452 = [GCF of 34,82,480]/[LCM of 874,401,452]= 2/79207124
Therefore, the GCF of 34/874,82/401,480/452 is 2/79207124.
To find the highest common factor of 34,82,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 82 are 1, 2, 41, 82
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 34,82,480 is 2.
Lets's calculate GCF of 34,82,480
2 | 34, 82, 480 |
17, 41, 240 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 34,82,480 . The biggest common factor number is the GCF number.
So the greatest common factor 34,82,480 is 2.
Lets's calculate LCM of 874,401,452
2 | 874, 401, 452 |
437, 401, 226 |
∴ So the LCM of the given numbers is 2 x 437 x 401 x 226 = 79207124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79207124
Therefore, the GCF of Fractions 34/874,82/401,480/452 is 2/79207124
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 874,401,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,401,452) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(874,401,452) x common factors =1 x 2 = 2
LCM(874,401,452) = ( 874 × 401 × 452 ) / 2
LCM(874,401,452) = 158414248 / 2
LCM(874,401,452) = 79207124
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,82,480?
The HCF of 34,82,480 is 2
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 34/874, 82/401, 480/452?
Answer: GCF of Numerators as per given numbers 34/874, 82/401, 480/452 is
GCF of Numerators i.e. for 34,82,480 is 2
LCM of denominators i.e. for 874,401,452 is 79207124.
Thus, GCF of Fractions is 2/79207124.Finally, GCF of Fractions for 34/874, 82/401, 480/452 is 2/79207124.