GCF of 8011/569, 8694/7719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8011/569, 8694/7719 i.e 1/4392111 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8011/569, 8694/7719.
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 8011/569,8694/7719?
Given fractions are 8011/569,8694/7719
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 8011/569,8694/7719, numerators are 8011,8694
Denominators are 569,7719
The GCF of 8011,8694 is 1 .
LCM of 569,7719 is 4392111.
The greatest common factor of 8011/569,8694/7719 = [GCF of 8011,8694]/[LCM of 569,7719]= 1/4392111
Therefore, the GCF of 8011/569,8694/7719 is 1/4392111.
To find the highest common factor of 8011,8694, we have to find the factors of both numbers and list the highest common factor.
The factors of 8011 are 1, 8011
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 8011,8694 is 1.
Lets's calculate GCF of 8011,8694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8011,8694 By Matching Biggest Common Factor Method
Now, list down the factors of 8011
:1,8011
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 8011,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 8011,8694 is 1.
Lets's calculate LCM of 569,7719
Given numbers has no common factors except 1. So, there LCM is their product i.e 4392111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4392111
Therefore, the GCF of Fractions 8011/569,8694/7719 is 1/4392111
Least Common Multiple of 569,7719 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 569,7719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,7719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,7719) x common factors =1 x 1 = 1
LCM(569,7719) = ( 569 × 7719 ) / 1
LCM(569,7719) = 4392111 / 1
LCM(569,7719) = 4392111
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FAQs on GCF of Fractions of 8011/569, 8694/7719
1. What is the HCF of 8011,8694?
The HCF of 8011,8694 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 8011/569, 8694/7719?
Answer: GCF of Numerators as per given numbers 8011/569, 8694/7719 is
GCF of Numerators i.e. for 8011,8694 is 1
LCM of denominators i.e. for 569,7719 is 4392111.
Thus, GCF of Fractions is 1/4392111.Finally, GCF of Fractions for 8011/569, 8694/7719 is 1/4392111.