Use our free GCF of Fractions Calculator tool to compute the GCF of 32/74, 609/36, 852/429 i.e 1/190476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/74, 609/36, 852/429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/74,609/36,852/429
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 32/74,609/36,852/429, numerators are 32,609,852
Denominators are 74,36,429
The GCF of 32,609,852 is 1 .
LCM of 74,36,429 is 190476.
The greatest common factor of 32/74,609/36,852/429 = [GCF of 32,609,852]/[LCM of 74,36,429]= 1/190476
Therefore, the GCF of 32/74,609/36,852/429 is 1/190476.
To find the highest common factor of 32,609,852, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 32,609,852 is 1.
Lets's calculate GCF of 32,609,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 32,609,852 . The biggest common factor number is the GCF number.
So the greatest common factor 32,609,852 is 1.
Lets's calculate LCM of 74,36,429
2 | 74, 36, 429 |
3 | 37, 18, 429 |
37, 6, 143 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 6 x 143 = 190476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190476
Therefore, the GCF of Fractions 32/74,609/36,852/429 is 1/190476
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 74,36,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,36,429) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(74,36,429) x common factors =1 x 6 = 6
LCM(74,36,429) = ( 74 × 36 × 429 ) / 6
LCM(74,36,429) = 1142856 / 6
LCM(74,36,429) = 190476
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 32,609,852?
The HCF of 32,609,852 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 32/74, 609/36, 852/429?
Answer: GCF of Numerators as per given numbers 32/74, 609/36, 852/429 is
GCF of Numerators i.e. for 32,609,852 is 1
LCM of denominators i.e. for 74,36,429 is 190476.
Thus, GCF of Fractions is 1/190476.Finally, GCF of Fractions for 32/74, 609/36, 852/429 is 1/190476.