GCF of 8397/406, 1967/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8397/406, 1967/738 i.e 1/149814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8397/406, 1967/738.
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 8397/406,1967/738?
Given fractions are 8397/406,1967/738
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 8397/406,1967/738, numerators are 8397,1967
Denominators are 406,738
The GCF of 8397,1967 is 1 .
LCM of 406,738 is 149814.
The greatest common factor of 8397/406,1967/738 = [GCF of 8397,1967]/[LCM of 406,738]= 1/149814
Therefore, the GCF of 8397/406,1967/738 is 1/149814.
To find the highest common factor of 8397,1967, we have to find the factors of both numbers and list the highest common factor.
The factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397
The factors of 1967 are 1, 7, 281, 1967
The HCF of 8397,1967 is 1.
Lets's calculate GCF of 8397,1967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8397,1967 By Matching Biggest Common Factor Method
Now, list down the factors of 8397
:1,3,9,27,311,933,2799,8397
Now, list down the factors of 1967
:1,7,281,1967
Greatest Common Factor
We found the factors 8397,1967 . The biggest common factor number is the GCF number.
So the greatest common factor 8397,1967 is 1.
Lets's calculate LCM of 406,738
| 2 | 406, 738 |
| 203, 369 |
∴ So the LCM of the given numbers is 2 x 203 x 369 = 149814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149814
Therefore, the GCF of Fractions 8397/406,1967/738 is 1/149814
Least Common Multiple of 406,738 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 406,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,738) x common factors =2 x 1 = 2
LCM(406,738) = ( 406 × 738 ) / 2
LCM(406,738) = 299628 / 2
LCM(406,738) = 149814
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FAQs on GCF of Fractions of 8397/406, 1967/738
1. What is the HCF of 8397,1967?
The HCF of 8397,1967 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 8397/406, 1967/738?
Answer: GCF of Numerators as per given numbers 8397/406, 1967/738 is
GCF of Numerators i.e. for 8397,1967 is 1
LCM of denominators i.e. for 406,738 is 149814.
Thus, GCF of Fractions is 1/149814.Finally, GCF of Fractions for 8397/406, 1967/738 is 1/149814.