GCF of 812/171, 9796/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 812/171, 9796/665 i.e 4/5985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/171, 9796/665.
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 812/171,9796/665?
Given fractions are 812/171,9796/665
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 812/171,9796/665, numerators are 812,9796
Denominators are 171,665
The GCF of 812,9796 is 4 .
LCM of 171,665 is 5985.
The greatest common factor of 812/171,9796/665 = [GCF of 812,9796]/[LCM of 171,665]= 4/5985
Therefore, the GCF of 812/171,9796/665 is 4/5985.
To find the highest common factor of 812,9796, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796
The HCF of 812,9796 is 4.
Lets's calculate GCF of 812,9796
| 2 | 812, 9796 |
| 2 | 406, 4898 |
| 203, 2449 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 812,9796 By Matching Biggest Common Factor Method
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 9796
:1,2,4,31,62,79,124,158,316,2449,4898,9796
Greatest Common Factor
We found the factors 812,9796 . The biggest common factor number is the GCF number.
So the greatest common factor 812,9796 is 4.
Lets's calculate LCM of 171,665
| 19 | 171, 665 |
| 9, 35 |
∴ So the LCM of the given numbers is 19 x 9 x 35 = 5985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5985
Therefore, the GCF of Fractions 812/171,9796/665 is 4/5985
Least Common Multiple of 171,665 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 171,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,665) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(171,665) x common factors =19 x 1 = 19
LCM(171,665) = ( 171 × 665 ) / 19
LCM(171,665) = 113715 / 19
LCM(171,665) = 5985
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 812/171, 9796/665
1. What is the HCF of 812,9796?
The HCF of 812,9796 is 4
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 812/171, 9796/665?
Answer: GCF of Numerators as per given numbers 812/171, 9796/665 is
GCF of Numerators i.e. for 812,9796 is 4
LCM of denominators i.e. for 171,665 is 5985.
Thus, GCF of Fractions is 4/5985.Finally, GCF of Fractions for 812/171, 9796/665 is 4/5985.