GCF of 9855/794, 4536/8822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9855/794, 4536/8822 i.e 27/3502334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9855/794, 4536/8822.
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 9855/794,4536/8822?
Given fractions are 9855/794,4536/8822
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 9855/794,4536/8822, numerators are 9855,4536
Denominators are 794,8822
The GCF of 9855,4536 is 27 .
LCM of 794,8822 is 3502334.
The greatest common factor of 9855/794,4536/8822 = [GCF of 9855,4536]/[LCM of 794,8822]= 27/3502334
Therefore, the GCF of 9855/794,4536/8822 is 27/3502334.
To find the highest common factor of 9855,4536, we have to find the factors of both numbers and list the highest common factor.
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536
The HCF of 9855,4536 is 27.
Lets's calculate GCF of 9855,4536
| 3 | 9855, 4536 |
| 3 | 3285, 1512 |
| 3 | 1095, 504 |
| 365, 168 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 9855,4536 By Matching Biggest Common Factor Method
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Now, list down the factors of 4536
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536
Greatest Common Factor
We found the factors 9855,4536 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,4536 is 27.
Lets's calculate LCM of 794,8822
| 2 | 794, 8822 |
| 397, 4411 |
∴ So the LCM of the given numbers is 2 x 397 x 4411 = 3502334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/3502334
Therefore, the GCF of Fractions 9855/794,4536/8822 is 27/3502334
Least Common Multiple of 794,8822 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 794,8822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,8822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,8822) x common factors =2 x 1 = 2
LCM(794,8822) = ( 794 × 8822 ) / 2
LCM(794,8822) = 7004668 / 2
LCM(794,8822) = 3502334
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9855/794, 4536/8822
1. What is the HCF of 9855,4536?
The HCF of 9855,4536 is 27
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 9855/794, 4536/8822?
Answer: GCF of Numerators as per given numbers 9855/794, 4536/8822 is
GCF of Numerators i.e. for 9855,4536 is 27
LCM of denominators i.e. for 794,8822 is 3502334.
Thus, GCF of Fractions is 27/3502334.Finally, GCF of Fractions for 9855/794, 4536/8822 is 27/3502334.