Use our free GCF of Fractions Calculator tool to compute the GCF of 928/762, 435/233 i.e 29/177546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/762, 435/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/762,435/233
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 928/762,435/233, numerators are 928,435
Denominators are 762,233
The GCF of 928,435 is 29 .
LCM of 762,233 is 177546.
The greatest common factor of 928/762,435/233 = [GCF of 928,435]/[LCM of 762,233]= 29/177546
Therefore, the GCF of 928/762,435/233 is 29/177546.
To find the highest common factor of 928,435, we have to find the factors of both numbers and list the highest common factor.
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The HCF of 928,435 is 29.
Lets's calculate GCF of 928,435
29 | 928, 435 |
32, 15 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 928,435 . The biggest common factor number is the GCF number.
So the greatest common factor 928,435 is 29.
Lets's calculate LCM of 762,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 177546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/177546
Therefore, the GCF of Fractions 928/762,435/233 is 29/177546
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 762,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,233) x common factors =1 x 1 = 1
LCM(762,233) = ( 762 × 233 ) / 1
LCM(762,233) = 177546 / 1
LCM(762,233) = 177546
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 928,435?
The HCF of 928,435 is 29
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 928/762, 435/233?
Answer: GCF of Numerators as per given numbers 928/762, 435/233 is
GCF of Numerators i.e. for 928,435 is 29
LCM of denominators i.e. for 762,233 is 177546.
Thus, GCF of Fractions is 29/177546.Finally, GCF of Fractions for 928/762, 435/233 is 29/177546.