GCF of 6409/686, 9837/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6409/686, 9837/667 i.e 1/457562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6409/686, 9837/667.
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 6409/686,9837/667?
Given fractions are 6409/686,9837/667
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 6409/686,9837/667, numerators are 6409,9837
Denominators are 686,667
The GCF of 6409,9837 is 1 .
LCM of 686,667 is 457562.
The greatest common factor of 6409/686,9837/667 = [GCF of 6409,9837]/[LCM of 686,667]= 1/457562
Therefore, the GCF of 6409/686,9837/667 is 1/457562.
To find the highest common factor of 6409,9837, we have to find the factors of both numbers and list the highest common factor.
The factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409
The factors of 9837 are 1, 3, 9, 1093, 3279, 9837
The HCF of 6409,9837 is 1.
Lets's calculate GCF of 6409,9837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6409,9837 By Matching Biggest Common Factor Method
Now, list down the factors of 6409
:1,13,17,29,221,377,493,6409
Now, list down the factors of 9837
:1,3,9,1093,3279,9837
Greatest Common Factor
We found the factors 6409,9837 . The biggest common factor number is the GCF number.
So the greatest common factor 6409,9837 is 1.
Lets's calculate LCM of 686,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 457562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457562
Therefore, the GCF of Fractions 6409/686,9837/667 is 1/457562
Least Common Multiple of 686,667 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 686,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,667) x common factors =1 x 1 = 1
LCM(686,667) = ( 686 × 667 ) / 1
LCM(686,667) = 457562 / 1
LCM(686,667) = 457562
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FAQs on GCF of Fractions of 6409/686, 9837/667
1. What is the HCF of 6409,9837?
The HCF of 6409,9837 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 6409/686, 9837/667?
Answer: GCF of Numerators as per given numbers 6409/686, 9837/667 is
GCF of Numerators i.e. for 6409,9837 is 1
LCM of denominators i.e. for 686,667 is 457562.
Thus, GCF of Fractions is 1/457562.Finally, GCF of Fractions for 6409/686, 9837/667 is 1/457562.