GCF of 69/96, 14/59, 569/683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 69/96, 14/59, 569/683 i.e 1/3868512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/96, 14/59, 569/683.
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 69/96,14/59,569/683?
Given fractions are 69/96,14/59,569/683
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 69/96,14/59,569/683, numerators are 69,14,569
Denominators are 96,59,683
The GCF of 69,14,569 is 1 .
LCM of 96,59,683 is 3868512.
The greatest common factor of 69/96,14/59,569/683 = [GCF of 69,14,569]/[LCM of 96,59,683]= 1/3868512
Therefore, the GCF of 69/96,14/59,569/683 is 1/3868512.
To find the highest common factor of 69,14,569, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 14 are 1, 2, 7, 14
The factors of 569 are 1, 569
The HCF of 69,14,569 is 1.
Lets's calculate GCF of 69,14,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 69,14,569 By Matching Biggest Common Factor Method
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 569
:1,569
Greatest Common Factor
We found the factors 69,14,569 . The biggest common factor number is the GCF number.
So the greatest common factor 69,14,569 is 1.
Lets's calculate LCM of 96,59,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 3868512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3868512
Therefore, the GCF of Fractions 69/96,14/59,569/683 is 1/3868512
Least Common Multiple of 96,59,683 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 96,59,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,59,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,59,683) x common factors =1 x 1 = 1
LCM(96,59,683) = ( 96 × 59 × 683 ) / 1
LCM(96,59,683) = 3868512 / 1
LCM(96,59,683) = 3868512
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FAQs on GCF of Fractions of 69/96, 14/59, 569/683
1. What is the HCF of 69,14,569?
The HCF of 69,14,569 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 69/96, 14/59, 569/683?
Answer: GCF of Numerators as per given numbers 69/96, 14/59, 569/683 is
GCF of Numerators i.e. for 69,14,569 is 1
LCM of denominators i.e. for 96,59,683 is 3868512.
Thus, GCF of Fractions is 1/3868512.Finally, GCF of Fractions for 69/96, 14/59, 569/683 is 1/3868512.