GCF of 4192/317, 9607/1894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4192/317, 9607/1894 i.e 1/600398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4192/317, 9607/1894.
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 4192/317,9607/1894?
Given fractions are 4192/317,9607/1894
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 4192/317,9607/1894, numerators are 4192,9607
Denominators are 317,1894
The GCF of 4192,9607 is 1 .
LCM of 317,1894 is 600398.
The greatest common factor of 4192/317,9607/1894 = [GCF of 4192,9607]/[LCM of 317,1894]= 1/600398
Therefore, the GCF of 4192/317,9607/1894 is 1/600398.
To find the highest common factor of 4192,9607, we have to find the factors of both numbers and list the highest common factor.
The factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192
The factors of 9607 are 1, 13, 739, 9607
The HCF of 4192,9607 is 1.
Lets's calculate GCF of 4192,9607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4192,9607 By Matching Biggest Common Factor Method
Now, list down the factors of 4192
:1,2,4,8,16,32,131,262,524,1048,2096,4192
Now, list down the factors of 9607
:1,13,739,9607
Greatest Common Factor
We found the factors 4192,9607 . The biggest common factor number is the GCF number.
So the greatest common factor 4192,9607 is 1.
Lets's calculate LCM of 317,1894
Given numbers has no common factors except 1. So, there LCM is their product i.e 600398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600398
Therefore, the GCF of Fractions 4192/317,9607/1894 is 1/600398
Least Common Multiple of 317,1894 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 317,1894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,1894) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,1894) x common factors =1 x 1 = 1
LCM(317,1894) = ( 317 × 1894 ) / 1
LCM(317,1894) = 600398 / 1
LCM(317,1894) = 600398
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FAQs on GCF of Fractions of 4192/317, 9607/1894
1. What is the HCF of 4192,9607?
The HCF of 4192,9607 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 4192/317, 9607/1894?
Answer: GCF of Numerators as per given numbers 4192/317, 9607/1894 is
GCF of Numerators i.e. for 4192,9607 is 1
LCM of denominators i.e. for 317,1894 is 600398.
Thus, GCF of Fractions is 1/600398.Finally, GCF of Fractions for 4192/317, 9607/1894 is 1/600398.