GCF of 9368/500, 9502/3159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9368/500, 9502/3159 i.e 2/1579500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9368/500, 9502/3159.
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 9368/500,9502/3159?
Given fractions are 9368/500,9502/3159
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 9368/500,9502/3159, numerators are 9368,9502
Denominators are 500,3159
The GCF of 9368,9502 is 2 .
LCM of 500,3159 is 1579500.
The greatest common factor of 9368/500,9502/3159 = [GCF of 9368,9502]/[LCM of 500,3159]= 2/1579500
Therefore, the GCF of 9368/500,9502/3159 is 2/1579500.
To find the highest common factor of 9368,9502, we have to find the factors of both numbers and list the highest common factor.
The factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368
The factors of 9502 are 1, 2, 4751, 9502
The HCF of 9368,9502 is 2.
Lets's calculate GCF of 9368,9502
| 2 | 9368, 9502 |
| 4684, 4751 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9368,9502 By Matching Biggest Common Factor Method
Now, list down the factors of 9368
:1,2,4,8,1171,2342,4684,9368
Now, list down the factors of 9502
:1,2,4751,9502
Greatest Common Factor
We found the factors 9368,9502 . The biggest common factor number is the GCF number.
So the greatest common factor 9368,9502 is 2.
Lets's calculate LCM of 500,3159
Given numbers has no common factors except 1. So, there LCM is their product i.e 1579500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1579500
Therefore, the GCF of Fractions 9368/500,9502/3159 is 2/1579500
Least Common Multiple of 500,3159 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 500,3159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,3159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,3159) x common factors =1 x 1 = 1
LCM(500,3159) = ( 500 × 3159 ) / 1
LCM(500,3159) = 1579500 / 1
LCM(500,3159) = 1579500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9368/500, 9502/3159
1. What is the HCF of 9368,9502?
The HCF of 9368,9502 is 2
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 9368/500, 9502/3159?
Answer: GCF of Numerators as per given numbers 9368/500, 9502/3159 is
GCF of Numerators i.e. for 9368,9502 is 2
LCM of denominators i.e. for 500,3159 is 1579500.
Thus, GCF of Fractions is 2/1579500.Finally, GCF of Fractions for 9368/500, 9502/3159 is 2/1579500.