GCF of 367/18, 863/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 367/18, 863/169 i.e 1/3042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/18, 863/169.
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 367/18,863/169?
Given fractions are 367/18,863/169
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 367/18,863/169, numerators are 367,863
Denominators are 18,169
The GCF of 367,863 is 1 .
LCM of 18,169 is 3042.
The greatest common factor of 367/18,863/169 = [GCF of 367,863]/[LCM of 18,169]= 1/3042
Therefore, the GCF of 367/18,863/169 is 1/3042.
To find the highest common factor of 367,863, we have to find the factors of both numbers and list the highest common factor.
The factors of 367 are 1, 367
The factors of 863 are 1, 863
The HCF of 367,863 is 1.
Lets's calculate GCF of 367,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 367,863 By Matching Biggest Common Factor Method
Now, list down the factors of 367
:1,367
Now, list down the factors of 863
:1,863
Greatest Common Factor
We found the factors 367,863 . The biggest common factor number is the GCF number.
So the greatest common factor 367,863 is 1.
Lets's calculate LCM of 18,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 3042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3042
Therefore, the GCF of Fractions 367/18,863/169 is 1/3042
Least Common Multiple of 18,169 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 18,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,169) x common factors =1 x 1 = 1
LCM(18,169) = ( 18 × 169 ) / 1
LCM(18,169) = 3042 / 1
LCM(18,169) = 3042
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 367/18, 863/169
1. What is the HCF of 367,863?
The HCF of 367,863 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 367/18, 863/169?
Answer: GCF of Numerators as per given numbers 367/18, 863/169 is
GCF of Numerators i.e. for 367,863 is 1
LCM of denominators i.e. for 18,169 is 3042.
Thus, GCF of Fractions is 1/3042.Finally, GCF of Fractions for 367/18, 863/169 is 1/3042.