Use our free GCF of Fractions Calculator tool to compute the GCF of 432/233, 918/676 i.e 54/157508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/233, 918/676.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/233,918/676
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 432/233,918/676, numerators are 432,918
Denominators are 233,676
The GCF of 432,918 is 54 .
LCM of 233,676 is 157508.
The greatest common factor of 432/233,918/676 = [GCF of 432,918]/[LCM of 233,676]= 54/157508
Therefore, the GCF of 432/233,918/676 is 54/157508.
To find the highest common factor of 432,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 432,918 is 54.
Lets's calculate GCF of 432,918
2 | 432, 918 |
3 | 216, 459 |
3 | 72, 153 |
3 | 24, 51 |
8, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 432,918 . The biggest common factor number is the GCF number.
So the greatest common factor 432,918 is 54.
Lets's calculate LCM of 233,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 157508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/157508
Therefore, the GCF of Fractions 432/233,918/676 is 54/157508
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 233,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,676) x common factors =1 x 1 = 1
LCM(233,676) = ( 233 × 676 ) / 1
LCM(233,676) = 157508 / 1
LCM(233,676) = 157508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 432,918?
The HCF of 432,918 is 54
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 432/233, 918/676?
Answer: GCF of Numerators as per given numbers 432/233, 918/676 is
GCF of Numerators i.e. for 432,918 is 54
LCM of denominators i.e. for 233,676 is 157508.
Thus, GCF of Fractions is 54/157508.Finally, GCF of Fractions for 432/233, 918/676 is 54/157508.