GCF of 9167/346, 9638/1651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9167/346, 9638/1651 i.e 1/571246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9167/346, 9638/1651.
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 9167/346,9638/1651?
Given fractions are 9167/346,9638/1651
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 9167/346,9638/1651, numerators are 9167,9638
Denominators are 346,1651
The GCF of 9167,9638 is 1 .
LCM of 346,1651 is 571246.
The greatest common factor of 9167/346,9638/1651 = [GCF of 9167,9638]/[LCM of 346,1651]= 1/571246
Therefore, the GCF of 9167/346,9638/1651 is 1/571246.
To find the highest common factor of 9167,9638, we have to find the factors of both numbers and list the highest common factor.
The factors of 9167 are 1, 89, 103, 9167
The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638
The HCF of 9167,9638 is 1.
Lets's calculate GCF of 9167,9638
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9167,9638 By Matching Biggest Common Factor Method
Now, list down the factors of 9167
:1,89,103,9167
Now, list down the factors of 9638
:1,2,61,79,122,158,4819,9638
Greatest Common Factor
We found the factors 9167,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 9167,9638 is 1.
Lets's calculate LCM of 346,1651
Given numbers has no common factors except 1. So, there LCM is their product i.e 571246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571246
Therefore, the GCF of Fractions 9167/346,9638/1651 is 1/571246
Least Common Multiple of 346,1651 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 346,1651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,1651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,1651) x common factors =1 x 1 = 1
LCM(346,1651) = ( 346 × 1651 ) / 1
LCM(346,1651) = 571246 / 1
LCM(346,1651) = 571246
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9167/346, 9638/1651
1. What is the HCF of 9167,9638?
The HCF of 9167,9638 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 9167/346, 9638/1651?
Answer: GCF of Numerators as per given numbers 9167/346, 9638/1651 is
GCF of Numerators i.e. for 9167,9638 is 1
LCM of denominators i.e. for 346,1651 is 571246.
Thus, GCF of Fractions is 1/571246.Finally, GCF of Fractions for 9167/346, 9638/1651 is 1/571246.