GCF of 2619/182, 6975/5613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2619/182, 6975/5613 i.e 9/1021566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2619/182, 6975/5613.
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 2619/182,6975/5613?
Given fractions are 2619/182,6975/5613
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 2619/182,6975/5613, numerators are 2619,6975
Denominators are 182,5613
The GCF of 2619,6975 is 9 .
LCM of 182,5613 is 1021566.
The greatest common factor of 2619/182,6975/5613 = [GCF of 2619,6975]/[LCM of 182,5613]= 9/1021566
Therefore, the GCF of 2619/182,6975/5613 is 9/1021566.
To find the highest common factor of 2619,6975, we have to find the factors of both numbers and list the highest common factor.
The factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619
The factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975
The HCF of 2619,6975 is 9.
Lets's calculate GCF of 2619,6975
| 3 | 2619, 6975 |
| 3 | 873, 2325 |
| 291, 775 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2619,6975 By Matching Biggest Common Factor Method
Now, list down the factors of 2619
:1,3,9,27,97,291,873,2619
Now, list down the factors of 6975
:1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 2619,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 2619,6975 is 9.
Lets's calculate LCM of 182,5613
Given numbers has no common factors except 1. So, there LCM is their product i.e 1021566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1021566
Therefore, the GCF of Fractions 2619/182,6975/5613 is 9/1021566
Least Common Multiple of 182,5613 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 182,5613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,5613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,5613) x common factors =1 x 1 = 1
LCM(182,5613) = ( 182 × 5613 ) / 1
LCM(182,5613) = 1021566 / 1
LCM(182,5613) = 1021566
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2619/182, 6975/5613
1. What is the HCF of 2619,6975?
The HCF of 2619,6975 is 9
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 2619/182, 6975/5613?
Answer: GCF of Numerators as per given numbers 2619/182, 6975/5613 is
GCF of Numerators i.e. for 2619,6975 is 9
LCM of denominators i.e. for 182,5613 is 1021566.
Thus, GCF of Fractions is 9/1021566.Finally, GCF of Fractions for 2619/182, 6975/5613 is 9/1021566.