GCF of 9595/959, 3058/4523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9595/959, 3058/4523 i.e 1/4337557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9595/959, 3058/4523.
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 9595/959,3058/4523?
Given fractions are 9595/959,3058/4523
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 9595/959,3058/4523, numerators are 9595,3058
Denominators are 959,4523
The GCF of 9595,3058 is 1 .
LCM of 959,4523 is 4337557.
The greatest common factor of 9595/959,3058/4523 = [GCF of 9595,3058]/[LCM of 959,4523]= 1/4337557
Therefore, the GCF of 9595/959,3058/4523 is 1/4337557.
To find the highest common factor of 9595,3058, we have to find the factors of both numbers and list the highest common factor.
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058
The HCF of 9595,3058 is 1.
Lets's calculate GCF of 9595,3058
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9595,3058 By Matching Biggest Common Factor Method
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Now, list down the factors of 3058
:1,2,11,22,139,278,1529,3058
Greatest Common Factor
We found the factors 9595,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 9595,3058 is 1.
Lets's calculate LCM of 959,4523
Given numbers has no common factors except 1. So, there LCM is their product i.e 4337557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4337557
Therefore, the GCF of Fractions 9595/959,3058/4523 is 1/4337557
Least Common Multiple of 959,4523 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 959,4523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,4523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,4523) x common factors =1 x 1 = 1
LCM(959,4523) = ( 959 × 4523 ) / 1
LCM(959,4523) = 4337557 / 1
LCM(959,4523) = 4337557
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9595/959, 3058/4523
1. What is the HCF of 9595,3058?
The HCF of 9595,3058 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 9595/959, 3058/4523?
Answer: GCF of Numerators as per given numbers 9595/959, 3058/4523 is
GCF of Numerators i.e. for 9595,3058 is 1
LCM of denominators i.e. for 959,4523 is 4337557.
Thus, GCF of Fractions is 1/4337557.Finally, GCF of Fractions for 9595/959, 3058/4523 is 1/4337557.