GCF of 594/331, 9936/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 594/331, 9936/755 i.e 54/249905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/331, 9936/755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 594/331,9936/755?
Given fractions are 594/331,9936/755
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 594/331,9936/755, numerators are 594,9936
Denominators are 331,755
The GCF of 594,9936 is 54 .
LCM of 331,755 is 249905.
The greatest common factor of 594/331,9936/755 = [GCF of 594,9936]/[LCM of 331,755]= 54/249905
Therefore, the GCF of 594/331,9936/755 is 54/249905.
To find the highest common factor of 594,9936, we have to find the factors of both numbers and list the highest common factor.
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
The HCF of 594,9936 is 54.
Lets's calculate GCF of 594,9936
| 2 | 594, 9936 |
| 3 | 297, 4968 |
| 3 | 99, 1656 |
| 3 | 33, 552 |
| 11, 184 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 594,9936 By Matching Biggest Common Factor Method
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Now, list down the factors of 9936
:1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936
Greatest Common Factor
We found the factors 594,9936 . The biggest common factor number is the GCF number.
So the greatest common factor 594,9936 is 54.
Lets's calculate LCM of 331,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 249905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/249905
Therefore, the GCF of Fractions 594/331,9936/755 is 54/249905
Least Common Multiple of 331,755 with GCF Formula
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 331,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,755) x common factors =1 x 1 = 1
LCM(331,755) = ( 331 × 755 ) / 1
LCM(331,755) = 249905 / 1
LCM(331,755) = 249905
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 594/331, 9936/755
1. What is the HCF of 594,9936?
The HCF of 594,9936 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 594/331, 9936/755?
Answer: GCF of Numerators as per given numbers 594/331, 9936/755 is
GCF of Numerators i.e. for 594,9936 is 54
LCM of denominators i.e. for 331,755 is 249905.
Thus, GCF of Fractions is 54/249905.Finally, GCF of Fractions for 594/331, 9936/755 is 54/249905.