GCF of 9970/497, 2817/2194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9970/497, 2817/2194 i.e 1/1090418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9970/497, 2817/2194.
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 9970/497,2817/2194?
Given fractions are 9970/497,2817/2194
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 9970/497,2817/2194, numerators are 9970,2817
Denominators are 497,2194
The GCF of 9970,2817 is 1 .
LCM of 497,2194 is 1090418.
The greatest common factor of 9970/497,2817/2194 = [GCF of 9970,2817]/[LCM of 497,2194]= 1/1090418
Therefore, the GCF of 9970/497,2817/2194 is 1/1090418.
To find the highest common factor of 9970,2817, we have to find the factors of both numbers and list the highest common factor.
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The HCF of 9970,2817 is 1.
Lets's calculate GCF of 9970,2817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9970,2817 By Matching Biggest Common Factor Method
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Now, list down the factors of 2817
:1,3,9,313,939,2817
Greatest Common Factor
We found the factors 9970,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 9970,2817 is 1.
Lets's calculate LCM of 497,2194
Given numbers has no common factors except 1. So, there LCM is their product i.e 1090418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1090418
Therefore, the GCF of Fractions 9970/497,2817/2194 is 1/1090418
Least Common Multiple of 497,2194 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 497,2194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,2194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,2194) x common factors =1 x 1 = 1
LCM(497,2194) = ( 497 × 2194 ) / 1
LCM(497,2194) = 1090418 / 1
LCM(497,2194) = 1090418
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9970/497, 2817/2194
1. What is the HCF of 9970,2817?
The HCF of 9970,2817 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 9970/497, 2817/2194?
Answer: GCF of Numerators as per given numbers 9970/497, 2817/2194 is
GCF of Numerators i.e. for 9970,2817 is 1
LCM of denominators i.e. for 497,2194 is 1090418.
Thus, GCF of Fractions is 1/1090418.Finally, GCF of Fractions for 9970/497, 2817/2194 is 1/1090418.