GCF of 3537/798, 9589/143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3537/798, 9589/143 i.e 1/114114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3537/798, 9589/143.
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 3537/798,9589/143?
Given fractions are 3537/798,9589/143
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 3537/798,9589/143, numerators are 3537,9589
Denominators are 798,143
The GCF of 3537,9589 is 1 .
LCM of 798,143 is 114114.
The greatest common factor of 3537/798,9589/143 = [GCF of 3537,9589]/[LCM of 798,143]= 1/114114
Therefore, the GCF of 3537/798,9589/143 is 1/114114.
To find the highest common factor of 3537,9589, we have to find the factors of both numbers and list the highest common factor.
The factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537
The factors of 9589 are 1, 43, 223, 9589
The HCF of 3537,9589 is 1.
Lets's calculate GCF of 3537,9589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3537,9589 By Matching Biggest Common Factor Method
Now, list down the factors of 3537
:1,3,9,27,131,393,1179,3537
Now, list down the factors of 9589
:1,43,223,9589
Greatest Common Factor
We found the factors 3537,9589 . The biggest common factor number is the GCF number.
So the greatest common factor 3537,9589 is 1.
Lets's calculate LCM of 798,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 114114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114114
Therefore, the GCF of Fractions 3537/798,9589/143 is 1/114114
Least Common Multiple of 798,143 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 798,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,143) x common factors =1 x 1 = 1
LCM(798,143) = ( 798 × 143 ) / 1
LCM(798,143) = 114114 / 1
LCM(798,143) = 114114
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FAQs on GCF of Fractions of 3537/798, 9589/143
1. What is the HCF of 3537,9589?
The HCF of 3537,9589 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 3537/798, 9589/143?
Answer: GCF of Numerators as per given numbers 3537/798, 9589/143 is
GCF of Numerators i.e. for 3537,9589 is 1
LCM of denominators i.e. for 798,143 is 114114.
Thus, GCF of Fractions is 1/114114.Finally, GCF of Fractions for 3537/798, 9589/143 is 1/114114.