GCF of 6686/457, 7201/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6686/457, 7201/396 i.e 1/180972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6686/457, 7201/396.
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 6686/457,7201/396?
Given fractions are 6686/457,7201/396
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 6686/457,7201/396, numerators are 6686,7201
Denominators are 457,396
The GCF of 6686,7201 is 1 .
LCM of 457,396 is 180972.
The greatest common factor of 6686/457,7201/396 = [GCF of 6686,7201]/[LCM of 457,396]= 1/180972
Therefore, the GCF of 6686/457,7201/396 is 1/180972.
To find the highest common factor of 6686,7201, we have to find the factors of both numbers and list the highest common factor.
The factors of 6686 are 1, 2, 3343, 6686
The factors of 7201 are 1, 19, 379, 7201
The HCF of 6686,7201 is 1.
Lets's calculate GCF of 6686,7201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6686,7201 By Matching Biggest Common Factor Method
Now, list down the factors of 6686
:1,2,3343,6686
Now, list down the factors of 7201
:1,19,379,7201
Greatest Common Factor
We found the factors 6686,7201 . The biggest common factor number is the GCF number.
So the greatest common factor 6686,7201 is 1.
Lets's calculate LCM of 457,396
Given numbers has no common factors except 1. So, there LCM is their product i.e 180972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180972
Therefore, the GCF of Fractions 6686/457,7201/396 is 1/180972
Least Common Multiple of 457,396 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 457,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,396) x common factors =1 x 1 = 1
LCM(457,396) = ( 457 × 396 ) / 1
LCM(457,396) = 180972 / 1
LCM(457,396) = 180972
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FAQs on GCF of Fractions of 6686/457, 7201/396
1. What is the HCF of 6686,7201?
The HCF of 6686,7201 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 6686/457, 7201/396?
Answer: GCF of Numerators as per given numbers 6686/457, 7201/396 is
GCF of Numerators i.e. for 6686,7201 is 1
LCM of denominators i.e. for 457,396 is 180972.
Thus, GCF of Fractions is 1/180972.Finally, GCF of Fractions for 6686/457, 7201/396 is 1/180972.