GCF of 9437/939, 8369/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9437/939, 8369/850 i.e 1/798150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9437/939, 8369/850.
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 9437/939,8369/850?
Given fractions are 9437/939,8369/850
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 9437/939,8369/850, numerators are 9437,8369
Denominators are 939,850
The GCF of 9437,8369 is 1 .
LCM of 939,850 is 798150.
The greatest common factor of 9437/939,8369/850 = [GCF of 9437,8369]/[LCM of 939,850]= 1/798150
Therefore, the GCF of 9437/939,8369/850 is 1/798150.
To find the highest common factor of 9437,8369, we have to find the factors of both numbers and list the highest common factor.
The factors of 9437 are 1, 9437
The factors of 8369 are 1, 8369
The HCF of 9437,8369 is 1.
Lets's calculate GCF of 9437,8369
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9437,8369 By Matching Biggest Common Factor Method
Now, list down the factors of 9437
:1,9437
Now, list down the factors of 8369
:1,8369
Greatest Common Factor
We found the factors 9437,8369 . The biggest common factor number is the GCF number.
So the greatest common factor 9437,8369 is 1.
Lets's calculate LCM of 939,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 798150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798150
Therefore, the GCF of Fractions 9437/939,8369/850 is 1/798150
Least Common Multiple of 939,850 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 939,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,850) x common factors =1 x 1 = 1
LCM(939,850) = ( 939 × 850 ) / 1
LCM(939,850) = 798150 / 1
LCM(939,850) = 798150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9437/939, 8369/850
1. What is the HCF of 9437,8369?
The HCF of 9437,8369 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 9437/939, 8369/850?
Answer: GCF of Numerators as per given numbers 9437/939, 8369/850 is
GCF of Numerators i.e. for 9437,8369 is 1
LCM of denominators i.e. for 939,850 is 798150.
Thus, GCF of Fractions is 1/798150.Finally, GCF of Fractions for 9437/939, 8369/850 is 1/798150.