Use our free GCF of Fractions Calculator tool to compute the GCF of 35/468, 60/332, 322/452 i.e 1/4389372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/468, 60/332, 322/452.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/468,60/332,322/452
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 35/468,60/332,322/452, numerators are 35,60,322
Denominators are 468,332,452
The GCF of 35,60,322 is 1 .
LCM of 468,332,452 is 4389372.
The greatest common factor of 35/468,60/332,322/452 = [GCF of 35,60,322]/[LCM of 468,332,452]= 1/4389372
Therefore, the GCF of 35/468,60/332,322/452 is 1/4389372.
To find the highest common factor of 35,60,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 35,60,322 is 1.
Lets's calculate GCF of 35,60,322
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 35,60,322 . The biggest common factor number is the GCF number.
So the greatest common factor 35,60,322 is 1.
Lets's calculate LCM of 468,332,452
2 | 468, 332, 452 |
2 | 234, 166, 226 |
117, 83, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 117 x 83 x 113 = 4389372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4389372
Therefore, the GCF of Fractions 35/468,60/332,322/452 is 1/4389372
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 468,332,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,332,452) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(468,332,452) x common factors =4 x 4 = 16
LCM(468,332,452) = ( 468 × 332 × 452 ) / 16
LCM(468,332,452) = 70229952 / 16
LCM(468,332,452) = 4389372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 35,60,322?
The HCF of 35,60,322 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 35/468, 60/332, 322/452?
Answer: GCF of Numerators as per given numbers 35/468, 60/332, 322/452 is
GCF of Numerators i.e. for 35,60,322 is 1
LCM of denominators i.e. for 468,332,452 is 4389372.
Thus, GCF of Fractions is 1/4389372.Finally, GCF of Fractions for 35/468, 60/332, 322/452 is 1/4389372.