GCF of 9688/404, 2189/197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9688/404, 2189/197 i.e 1/79588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9688/404, 2189/197.
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 9688/404,2189/197?
Given fractions are 9688/404,2189/197
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 9688/404,2189/197, numerators are 9688,2189
Denominators are 404,197
The GCF of 9688,2189 is 1 .
LCM of 404,197 is 79588.
The greatest common factor of 9688/404,2189/197 = [GCF of 9688,2189]/[LCM of 404,197]= 1/79588
Therefore, the GCF of 9688/404,2189/197 is 1/79588.
To find the highest common factor of 9688,2189, we have to find the factors of both numbers and list the highest common factor.
The factors of 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688
The factors of 2189 are 1, 11, 199, 2189
The HCF of 9688,2189 is 1.
Lets's calculate GCF of 9688,2189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9688,2189 By Matching Biggest Common Factor Method
Now, list down the factors of 9688
:1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688
Now, list down the factors of 2189
:1,11,199,2189
Greatest Common Factor
We found the factors 9688,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 9688,2189 is 1.
Lets's calculate LCM of 404,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 79588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79588
Therefore, the GCF of Fractions 9688/404,2189/197 is 1/79588
Least Common Multiple of 404,197 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 404,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,197) x common factors =1 x 1 = 1
LCM(404,197) = ( 404 × 197 ) / 1
LCM(404,197) = 79588 / 1
LCM(404,197) = 79588
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9688/404, 2189/197
1. What is the HCF of 9688,2189?
The HCF of 9688,2189 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 9688/404, 2189/197?
Answer: GCF of Numerators as per given numbers 9688/404, 2189/197 is
GCF of Numerators i.e. for 9688,2189 is 1
LCM of denominators i.e. for 404,197 is 79588.
Thus, GCF of Fractions is 1/79588.Finally, GCF of Fractions for 9688/404, 2189/197 is 1/79588.