GCF of 698/19, 495/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 698/19, 495/319 i.e 1/6061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/19, 495/319.
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 698/19,495/319?
Given fractions are 698/19,495/319
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 698/19,495/319, numerators are 698,495
Denominators are 19,319
The GCF of 698,495 is 1 .
LCM of 19,319 is 6061.
The greatest common factor of 698/19,495/319 = [GCF of 698,495]/[LCM of 19,319]= 1/6061
Therefore, the GCF of 698/19,495/319 is 1/6061.
To find the highest common factor of 698,495, we have to find the factors of both numbers and list the highest common factor.
The factors of 698 are 1, 2, 349, 698
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The HCF of 698,495 is 1.
Lets's calculate GCF of 698,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 698,495 By Matching Biggest Common Factor Method
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 698,495 . The biggest common factor number is the GCF number.
So the greatest common factor 698,495 is 1.
Lets's calculate LCM of 19,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 6061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6061
Therefore, the GCF of Fractions 698/19,495/319 is 1/6061
Least Common Multiple of 19,319 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 19,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,319) x common factors =1 x 1 = 1
LCM(19,319) = ( 19 × 319 ) / 1
LCM(19,319) = 6061 / 1
LCM(19,319) = 6061
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FAQs on GCF of Fractions of 698/19, 495/319
1. What is the HCF of 698,495?
The HCF of 698,495 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 698/19, 495/319?
Answer: GCF of Numerators as per given numbers 698/19, 495/319 is
GCF of Numerators i.e. for 698,495 is 1
LCM of denominators i.e. for 19,319 is 6061.
Thus, GCF of Fractions is 1/6061.Finally, GCF of Fractions for 698/19, 495/319 is 1/6061.