Use our free GCF of Fractions Calculator tool to compute the GCF of 512/316, 783/432 i.e 1/34128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/316, 783/432.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 512/316,783/432
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 512/316,783/432, numerators are 512,783
Denominators are 316,432
The GCF of 512,783 is 1 .
LCM of 316,432 is 34128.
The greatest common factor of 512/316,783/432 = [GCF of 512,783]/[LCM of 316,432]= 1/34128
Therefore, the GCF of 512/316,783/432 is 1/34128.
To find the highest common factor of 512,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 512,783 is 1.
Lets's calculate GCF of 512,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 512,783 . The biggest common factor number is the GCF number.
So the greatest common factor 512,783 is 1.
Lets's calculate LCM of 316,432
2 | 316, 432 |
2 | 158, 216 |
79, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 108 = 34128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34128
Therefore, the GCF of Fractions 512/316,783/432 is 1/34128
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 316,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,432) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,432) x common factors =4 x 1 = 4
LCM(316,432) = ( 316 × 432 ) / 4
LCM(316,432) = 136512 / 4
LCM(316,432) = 34128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 512,783?
The HCF of 512,783 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 512/316, 783/432?
Answer: GCF of Numerators as per given numbers 512/316, 783/432 is
GCF of Numerators i.e. for 512,783 is 1
LCM of denominators i.e. for 316,432 is 34128.
Thus, GCF of Fractions is 1/34128.Finally, GCF of Fractions for 512/316, 783/432 is 1/34128.