GCF of 397/37, 686/864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 397/37, 686/864 i.e 1/31968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 397/37, 686/864.
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 397/37,686/864?
Given fractions are 397/37,686/864
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 397/37,686/864, numerators are 397,686
Denominators are 37,864
The GCF of 397,686 is 1 .
LCM of 37,864 is 31968.
The greatest common factor of 397/37,686/864 = [GCF of 397,686]/[LCM of 37,864]= 1/31968
Therefore, the GCF of 397/37,686/864 is 1/31968.
To find the highest common factor of 397,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 397 are 1, 397
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 397,686 is 1.
Lets's calculate GCF of 397,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 397,686 By Matching Biggest Common Factor Method
Now, list down the factors of 397
:1,397
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 397,686 . The biggest common factor number is the GCF number.
So the greatest common factor 397,686 is 1.
Lets's calculate LCM of 37,864
Given numbers has no common factors except 1. So, there LCM is their product i.e 31968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31968
Therefore, the GCF of Fractions 397/37,686/864 is 1/31968
Least Common Multiple of 37,864 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 37,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,864) x common factors =1 x 1 = 1
LCM(37,864) = ( 37 × 864 ) / 1
LCM(37,864) = 31968 / 1
LCM(37,864) = 31968
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FAQs on GCF of Fractions of 397/37, 686/864
1. What is the HCF of 397,686?
The HCF of 397,686 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 397/37, 686/864?
Answer: GCF of Numerators as per given numbers 397/37, 686/864 is
GCF of Numerators i.e. for 397,686 is 1
LCM of denominators i.e. for 37,864 is 31968.
Thus, GCF of Fractions is 1/31968.Finally, GCF of Fractions for 397/37, 686/864 is 1/31968.