GCF of 7568/290, 6787/2005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7568/290, 6787/2005 i.e 11/116290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7568/290, 6787/2005.
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 7568/290,6787/2005?
Given fractions are 7568/290,6787/2005
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 7568/290,6787/2005, numerators are 7568,6787
Denominators are 290,2005
The GCF of 7568,6787 is 11 .
LCM of 290,2005 is 116290.
The greatest common factor of 7568/290,6787/2005 = [GCF of 7568,6787]/[LCM of 290,2005]= 11/116290
Therefore, the GCF of 7568/290,6787/2005 is 11/116290.
To find the highest common factor of 7568,6787, we have to find the factors of both numbers and list the highest common factor.
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The factors of 6787 are 1, 11, 617, 6787
The HCF of 7568,6787 is 11.
Lets's calculate GCF of 7568,6787
| 11 | 7568, 6787 |
| 688, 617 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7568,6787 By Matching Biggest Common Factor Method
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Now, list down the factors of 6787
:1,11,617,6787
Greatest Common Factor
We found the factors 7568,6787 . The biggest common factor number is the GCF number.
So the greatest common factor 7568,6787 is 11.
Lets's calculate LCM of 290,2005
| 5 | 290, 2005 |
| 58, 401 |
∴ So the LCM of the given numbers is 5 x 58 x 401 = 116290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/116290
Therefore, the GCF of Fractions 7568/290,6787/2005 is 11/116290
Least Common Multiple of 290,2005 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 290,2005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,2005) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(290,2005) x common factors =5 x 1 = 5
LCM(290,2005) = ( 290 × 2005 ) / 5
LCM(290,2005) = 581450 / 5
LCM(290,2005) = 116290
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7568/290, 6787/2005
1. What is the HCF of 7568,6787?
The HCF of 7568,6787 is 11
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 7568/290, 6787/2005?
Answer: GCF of Numerators as per given numbers 7568/290, 6787/2005 is
GCF of Numerators i.e. for 7568,6787 is 11
LCM of denominators i.e. for 290,2005 is 116290.
Thus, GCF of Fractions is 11/116290.Finally, GCF of Fractions for 7568/290, 6787/2005 is 11/116290.