GCF of 9837/130, 3512/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9837/130, 3512/193 i.e 1/25090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9837/130, 3512/193.
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 9837/130,3512/193?
Given fractions are 9837/130,3512/193
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 9837/130,3512/193, numerators are 9837,3512
Denominators are 130,193
The GCF of 9837,3512 is 1 .
LCM of 130,193 is 25090.
The greatest common factor of 9837/130,3512/193 = [GCF of 9837,3512]/[LCM of 130,193]= 1/25090
Therefore, the GCF of 9837/130,3512/193 is 1/25090.
To find the highest common factor of 9837,3512, we have to find the factors of both numbers and list the highest common factor.
The factors of 9837 are 1, 3, 9, 1093, 3279, 9837
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The HCF of 9837,3512 is 1.
Lets's calculate GCF of 9837,3512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9837,3512 By Matching Biggest Common Factor Method
Now, list down the factors of 9837
:1,3,9,1093,3279,9837
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 9837,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 9837,3512 is 1.
Lets's calculate LCM of 130,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 25090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25090
Therefore, the GCF of Fractions 9837/130,3512/193 is 1/25090
Least Common Multiple of 130,193 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 130,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,193) x common factors =1 x 1 = 1
LCM(130,193) = ( 130 × 193 ) / 1
LCM(130,193) = 25090 / 1
LCM(130,193) = 25090
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FAQs on GCF of Fractions of 9837/130, 3512/193
1. What is the HCF of 9837,3512?
The HCF of 9837,3512 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 9837/130, 3512/193?
Answer: GCF of Numerators as per given numbers 9837/130, 3512/193 is
GCF of Numerators i.e. for 9837,3512 is 1
LCM of denominators i.e. for 130,193 is 25090.
Thus, GCF of Fractions is 1/25090.Finally, GCF of Fractions for 9837/130, 3512/193 is 1/25090.