GCF of 6391/169, 3490/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6391/169, 3490/496 i.e 1/83824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6391/169, 3490/496.
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 6391/169,3490/496?
Given fractions are 6391/169,3490/496
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 6391/169,3490/496, numerators are 6391,3490
Denominators are 169,496
The GCF of 6391,3490 is 1 .
LCM of 169,496 is 83824.
The greatest common factor of 6391/169,3490/496 = [GCF of 6391,3490]/[LCM of 169,496]= 1/83824
Therefore, the GCF of 6391/169,3490/496 is 1/83824.
To find the highest common factor of 6391,3490, we have to find the factors of both numbers and list the highest common factor.
The factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391
The factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490
The HCF of 6391,3490 is 1.
Lets's calculate GCF of 6391,3490
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6391,3490 By Matching Biggest Common Factor Method
Now, list down the factors of 6391
:1,7,11,77,83,581,913,6391
Now, list down the factors of 3490
:1,2,5,10,349,698,1745,3490
Greatest Common Factor
We found the factors 6391,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 6391,3490 is 1.
Lets's calculate LCM of 169,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 83824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83824
Therefore, the GCF of Fractions 6391/169,3490/496 is 1/83824
Least Common Multiple of 169,496 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 169,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,496) x common factors =1 x 1 = 1
LCM(169,496) = ( 169 × 496 ) / 1
LCM(169,496) = 83824 / 1
LCM(169,496) = 83824
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FAQs on GCF of Fractions of 6391/169, 3490/496
1. What is the HCF of 6391,3490?
The HCF of 6391,3490 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 6391/169, 3490/496?
Answer: GCF of Numerators as per given numbers 6391/169, 3490/496 is
GCF of Numerators i.e. for 6391,3490 is 1
LCM of denominators i.e. for 169,496 is 83824.
Thus, GCF of Fractions is 1/83824.Finally, GCF of Fractions for 6391/169, 3490/496 is 1/83824.