GCF of 3082/170, 9959/6530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3082/170, 9959/6530 i.e 23/111010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/170, 9959/6530.
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 3082/170,9959/6530?
Given fractions are 3082/170,9959/6530
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 3082/170,9959/6530, numerators are 3082,9959
Denominators are 170,6530
The GCF of 3082,9959 is 23 .
LCM of 170,6530 is 111010.
The greatest common factor of 3082/170,9959/6530 = [GCF of 3082,9959]/[LCM of 170,6530]= 23/111010
Therefore, the GCF of 3082/170,9959/6530 is 23/111010.
To find the highest common factor of 3082,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The factors of 9959 are 1, 23, 433, 9959
The HCF of 3082,9959 is 23.
Lets's calculate GCF of 3082,9959
| 23 | 3082, 9959 |
| 134, 433 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3082,9959 By Matching Biggest Common Factor Method
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 3082,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,9959 is 23.
Lets's calculate LCM of 170,6530
| 2 | 170, 6530 |
| 5 | 85, 3265 |
| 17, 653 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 653 = 111010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/111010
Therefore, the GCF of Fractions 3082/170,9959/6530 is 23/111010
Least Common Multiple of 170,6530 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 170,6530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,6530) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(170,6530) x common factors =10 x 1 = 10
LCM(170,6530) = ( 170 × 6530 ) / 10
LCM(170,6530) = 1110100 / 10
LCM(170,6530) = 111010
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FAQs on GCF of Fractions of 3082/170, 9959/6530
1. What is the HCF of 3082,9959?
The HCF of 3082,9959 is 23
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 3082/170, 9959/6530?
Answer: GCF of Numerators as per given numbers 3082/170, 9959/6530 is
GCF of Numerators i.e. for 3082,9959 is 23
LCM of denominators i.e. for 170,6530 is 111010.
Thus, GCF of Fractions is 23/111010.Finally, GCF of Fractions for 3082/170, 9959/6530 is 23/111010.