GCF of 6883/297, 7969/9834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6883/297, 7969/9834 i.e 1/88506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6883/297, 7969/9834.
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 6883/297,7969/9834?
Given fractions are 6883/297,7969/9834
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 6883/297,7969/9834, numerators are 6883,7969
Denominators are 297,9834
The GCF of 6883,7969 is 1 .
LCM of 297,9834 is 88506.
The greatest common factor of 6883/297,7969/9834 = [GCF of 6883,7969]/[LCM of 297,9834]= 1/88506
Therefore, the GCF of 6883/297,7969/9834 is 1/88506.
To find the highest common factor of 6883,7969, we have to find the factors of both numbers and list the highest common factor.
The factors of 6883 are 1, 6883
The factors of 7969 are 1, 13, 613, 7969
The HCF of 6883,7969 is 1.
Lets's calculate GCF of 6883,7969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6883,7969 By Matching Biggest Common Factor Method
Now, list down the factors of 6883
:1,6883
Now, list down the factors of 7969
:1,13,613,7969
Greatest Common Factor
We found the factors 6883,7969 . The biggest common factor number is the GCF number.
So the greatest common factor 6883,7969 is 1.
Lets's calculate LCM of 297,9834
| 3 | 297, 9834 |
| 11 | 99, 3278 |
| 9, 298 |
∴ So the LCM of the given numbers is 3 x 11 x 9 x 298 = 88506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88506
Therefore, the GCF of Fractions 6883/297,7969/9834 is 1/88506
Least Common Multiple of 297,9834 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 297,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,9834) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(297,9834) x common factors =33 x 1 = 33
LCM(297,9834) = ( 297 × 9834 ) / 33
LCM(297,9834) = 2920698 / 33
LCM(297,9834) = 88506
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6883/297, 7969/9834
1. What is the HCF of 6883,7969?
The HCF of 6883,7969 is 1
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 6883/297, 7969/9834?
Answer: GCF of Numerators as per given numbers 6883/297, 7969/9834 is
GCF of Numerators i.e. for 6883,7969 is 1
LCM of denominators i.e. for 297,9834 is 88506.
Thus, GCF of Fractions is 1/88506.Finally, GCF of Fractions for 6883/297, 7969/9834 is 1/88506.