GCF of 9595/159, 1002/1310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9595/159, 1002/1310 i.e 1/208290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9595/159, 1002/1310.
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 9595/159,1002/1310?
Given fractions are 9595/159,1002/1310
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 9595/159,1002/1310, numerators are 9595,1002
Denominators are 159,1310
The GCF of 9595,1002 is 1 .
LCM of 159,1310 is 208290.
The greatest common factor of 9595/159,1002/1310 = [GCF of 9595,1002]/[LCM of 159,1310]= 1/208290
Therefore, the GCF of 9595/159,1002/1310 is 1/208290.
To find the highest common factor of 9595,1002, 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 1002 are 1, 2, 3, 6, 167, 334, 501, 1002
The HCF of 9595,1002 is 1.
Lets's calculate GCF of 9595,1002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9595,1002 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 1002
:1,2,3,6,167,334,501,1002
Greatest Common Factor
We found the factors 9595,1002 . The biggest common factor number is the GCF number.
So the greatest common factor 9595,1002 is 1.
Lets's calculate LCM of 159,1310
Given numbers has no common factors except 1. So, there LCM is their product i.e 208290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208290
Therefore, the GCF of Fractions 9595/159,1002/1310 is 1/208290
Least Common Multiple of 159,1310 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 159,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,1310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,1310) x common factors =1 x 1 = 1
LCM(159,1310) = ( 159 × 1310 ) / 1
LCM(159,1310) = 208290 / 1
LCM(159,1310) = 208290
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FAQs on GCF of Fractions of 9595/159, 1002/1310
1. What is the HCF of 9595,1002?
The HCF of 9595,1002 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 9595/159, 1002/1310?
Answer: GCF of Numerators as per given numbers 9595/159, 1002/1310 is
GCF of Numerators i.e. for 9595,1002 is 1
LCM of denominators i.e. for 159,1310 is 208290.
Thus, GCF of Fractions is 1/208290.Finally, GCF of Fractions for 9595/159, 1002/1310 is 1/208290.