GCF of 14/67, 82/97, 80/19, 25/426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/67, 82/97, 80/19, 25/426 i.e 1/52602906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/67, 82/97, 80/19, 25/426.
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 14/67,82/97,80/19,25/426?
Given fractions are 14/67,82/97,80/19,25/426
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 14/67,82/97,80/19,25/426, numerators are 14,82,80,25
Denominators are 67,97,19,426
The GCF of 14,82,80,25 is 1 .
LCM of 67,97,19,426 is 52602906.
The greatest common factor of 14/67,82/97,80/19,25/426 = [GCF of 14,82,80,25]/[LCM of 67,97,19,426]= 1/52602906
Therefore, the GCF of 14/67,82/97,80/19,25/426 is 1/52602906.
To find the highest common factor of 14,82,80,25, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 82 are 1, 2, 41, 82
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 25 are 1, 5, 25
The HCF of 14,82,80,25 is 1.
Lets's calculate GCF of 14,82,80,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,82,80,25 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 25
:1,5,25
Greatest Common Factor
We found the factors 14,82,80,25 . The biggest common factor number is the GCF number.
So the greatest common factor 14,82,80,25 is 1.
Lets's calculate LCM of 67,97,19,426
Given numbers has no common factors except 1. So, there LCM is their product i.e 52602906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52602906
Therefore, the GCF of Fractions 14/67,82/97,80/19,25/426 is 1/52602906
Least Common Multiple of 67,97,19,426 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 67,97,19,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,97,19,426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,97,19,426) x common factors =1 x 1 = 1
LCM(67,97,19,426) = ( 67 × 97 × 19 × 426 ) / 1
LCM(67,97,19,426) = 52602906 / 1
LCM(67,97,19,426) = 52602906
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 14/67, 82/97, 80/19, 25/426
1. What is the HCF of 14,82,80,25?
The HCF of 14,82,80,25 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 14/67, 82/97, 80/19, 25/426?
Answer: GCF of Numerators as per given numbers 14/67, 82/97, 80/19, 25/426 is
GCF of Numerators i.e. for 14,82,80,25 is 1
LCM of denominators i.e. for 67,97,19,426 is 52602906.
Thus, GCF of Fractions is 1/52602906.Finally, GCF of Fractions for 14/67, 82/97, 80/19, 25/426 is 1/52602906.