GCF of 7614/515, 2000/9598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7614/515, 2000/9598 i.e 2/4942970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7614/515, 2000/9598.
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 7614/515,2000/9598?
Given fractions are 7614/515,2000/9598
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 7614/515,2000/9598, numerators are 7614,2000
Denominators are 515,9598
The GCF of 7614,2000 is 2 .
LCM of 515,9598 is 4942970.
The greatest common factor of 7614/515,2000/9598 = [GCF of 7614,2000]/[LCM of 515,9598]= 2/4942970
Therefore, the GCF of 7614/515,2000/9598 is 2/4942970.
To find the highest common factor of 7614,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 7614,2000 is 2.
Lets's calculate GCF of 7614,2000
| 2 | 7614, 2000 |
| 3807, 1000 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7614,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 7614
:1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 7614,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 7614,2000 is 2.
Lets's calculate LCM of 515,9598
Given numbers has no common factors except 1. So, there LCM is their product i.e 4942970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4942970
Therefore, the GCF of Fractions 7614/515,2000/9598 is 2/4942970
Least Common Multiple of 515,9598 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 515,9598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,9598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,9598) x common factors =1 x 1 = 1
LCM(515,9598) = ( 515 × 9598 ) / 1
LCM(515,9598) = 4942970 / 1
LCM(515,9598) = 4942970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7614/515, 2000/9598
1. What is the HCF of 7614,2000?
The HCF of 7614,2000 is 2
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 7614/515, 2000/9598?
Answer: GCF of Numerators as per given numbers 7614/515, 2000/9598 is
GCF of Numerators i.e. for 7614,2000 is 2
LCM of denominators i.e. for 515,9598 is 4942970.
Thus, GCF of Fractions is 2/4942970.Finally, GCF of Fractions for 7614/515, 2000/9598 is 2/4942970.