GCF of 9937/746, 2325/4579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9937/746, 2325/4579 i.e 1/3415934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9937/746, 2325/4579.
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 9937/746,2325/4579?
Given fractions are 9937/746,2325/4579
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 9937/746,2325/4579, numerators are 9937,2325
Denominators are 746,4579
The GCF of 9937,2325 is 1 .
LCM of 746,4579 is 3415934.
The greatest common factor of 9937/746,2325/4579 = [GCF of 9937,2325]/[LCM of 746,4579]= 1/3415934
Therefore, the GCF of 9937/746,2325/4579 is 1/3415934.
To find the highest common factor of 9937,2325, we have to find the factors of both numbers and list the highest common factor.
The factors of 9937 are 1, 19, 523, 9937
The factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325
The HCF of 9937,2325 is 1.
Lets's calculate GCF of 9937,2325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9937,2325 By Matching Biggest Common Factor Method
Now, list down the factors of 9937
:1,19,523,9937
Now, list down the factors of 2325
:1,3,5,15,25,31,75,93,155,465,775,2325
Greatest Common Factor
We found the factors 9937,2325 . The biggest common factor number is the GCF number.
So the greatest common factor 9937,2325 is 1.
Lets's calculate LCM of 746,4579
Given numbers has no common factors except 1. So, there LCM is their product i.e 3415934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3415934
Therefore, the GCF of Fractions 9937/746,2325/4579 is 1/3415934
Least Common Multiple of 746,4579 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 746,4579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,4579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,4579) x common factors =1 x 1 = 1
LCM(746,4579) = ( 746 × 4579 ) / 1
LCM(746,4579) = 3415934 / 1
LCM(746,4579) = 3415934
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9937/746, 2325/4579
1. What is the HCF of 9937,2325?
The HCF of 9937,2325 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 9937/746, 2325/4579?
Answer: GCF of Numerators as per given numbers 9937/746, 2325/4579 is
GCF of Numerators i.e. for 9937,2325 is 1
LCM of denominators i.e. for 746,4579 is 3415934.
Thus, GCF of Fractions is 1/3415934.Finally, GCF of Fractions for 9937/746, 2325/4579 is 1/3415934.