GCF of 833/38, 697/2122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 833/38, 697/2122 i.e 17/40318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/38, 697/2122.
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 833/38,697/2122?
Given fractions are 833/38,697/2122
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 833/38,697/2122, numerators are 833,697
Denominators are 38,2122
The GCF of 833,697 is 17 .
LCM of 38,2122 is 40318.
The greatest common factor of 833/38,697/2122 = [GCF of 833,697]/[LCM of 38,2122]= 17/40318
Therefore, the GCF of 833/38,697/2122 is 17/40318.
To find the highest common factor of 833,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 833 are 1, 7, 17, 49, 119, 833
The factors of 697 are 1, 17, 41, 697
The HCF of 833,697 is 17.
Lets's calculate GCF of 833,697
| 17 | 833, 697 |
| 49, 41 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 833,697 By Matching Biggest Common Factor Method
Now, list down the factors of 833
:1,7,17,49,119,833
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 833,697 . The biggest common factor number is the GCF number.
So the greatest common factor 833,697 is 17.
Lets's calculate LCM of 38,2122
| 2 | 38, 2122 |
| 19, 1061 |
∴ So the LCM of the given numbers is 2 x 19 x 1061 = 40318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/40318
Therefore, the GCF of Fractions 833/38,697/2122 is 17/40318
Least Common Multiple of 38,2122 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 38,2122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,2122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,2122) x common factors =2 x 1 = 2
LCM(38,2122) = ( 38 × 2122 ) / 2
LCM(38,2122) = 80636 / 2
LCM(38,2122) = 40318
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 833/38, 697/2122
1. What is the HCF of 833,697?
The HCF of 833,697 is 17
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 833/38, 697/2122?
Answer: GCF of Numerators as per given numbers 833/38, 697/2122 is
GCF of Numerators i.e. for 833,697 is 17
LCM of denominators i.e. for 38,2122 is 40318.
Thus, GCF of Fractions is 17/40318.Finally, GCF of Fractions for 833/38, 697/2122 is 17/40318.