GCF of 169/215, 6099/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 169/215, 6099/982 i.e 1/211130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/215, 6099/982.
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 169/215,6099/982?
Given fractions are 169/215,6099/982
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 169/215,6099/982, numerators are 169,6099
Denominators are 215,982
The GCF of 169,6099 is 1 .
LCM of 215,982 is 211130.
The greatest common factor of 169/215,6099/982 = [GCF of 169,6099]/[LCM of 215,982]= 1/211130
Therefore, the GCF of 169/215,6099/982 is 1/211130.
To find the highest common factor of 169,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 169,6099 is 1.
Lets's calculate GCF of 169,6099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 169,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 169,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 169,6099 is 1.
Lets's calculate LCM of 215,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 211130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211130
Therefore, the GCF of Fractions 169/215,6099/982 is 1/211130
Least Common Multiple of 215,982 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 215,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,982) x common factors =1 x 1 = 1
LCM(215,982) = ( 215 × 982 ) / 1
LCM(215,982) = 211130 / 1
LCM(215,982) = 211130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 169/215, 6099/982
1. What is the HCF of 169,6099?
The HCF of 169,6099 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 169/215, 6099/982?
Answer: GCF of Numerators as per given numbers 169/215, 6099/982 is
GCF of Numerators i.e. for 169,6099 is 1
LCM of denominators i.e. for 215,982 is 211130.
Thus, GCF of Fractions is 1/211130.Finally, GCF of Fractions for 169/215, 6099/982 is 1/211130.