GCF of 9810/336, 5971/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9810/336, 5971/109 i.e 1/36624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9810/336, 5971/109.
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 9810/336,5971/109?
Given fractions are 9810/336,5971/109
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 9810/336,5971/109, numerators are 9810,5971
Denominators are 336,109
The GCF of 9810,5971 is 1 .
LCM of 336,109 is 36624.
The greatest common factor of 9810/336,5971/109 = [GCF of 9810,5971]/[LCM of 336,109]= 1/36624
Therefore, the GCF of 9810/336,5971/109 is 1/36624.
To find the highest common factor of 9810,5971, we have to find the factors of both numbers and list the highest common factor.
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
The factors of 5971 are 1, 7, 853, 5971
The HCF of 9810,5971 is 1.
Lets's calculate GCF of 9810,5971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9810,5971 By Matching Biggest Common Factor Method
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
Now, list down the factors of 5971
:1,7,853,5971
Greatest Common Factor
We found the factors 9810,5971 . The biggest common factor number is the GCF number.
So the greatest common factor 9810,5971 is 1.
Lets's calculate LCM of 336,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 36624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36624
Therefore, the GCF of Fractions 9810/336,5971/109 is 1/36624
Least Common Multiple of 336,109 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 336,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,109) x common factors =1 x 1 = 1
LCM(336,109) = ( 336 × 109 ) / 1
LCM(336,109) = 36624 / 1
LCM(336,109) = 36624
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FAQs on GCF of Fractions of 9810/336, 5971/109
1. What is the HCF of 9810,5971?
The HCF of 9810,5971 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 9810/336, 5971/109?
Answer: GCF of Numerators as per given numbers 9810/336, 5971/109 is
GCF of Numerators i.e. for 9810,5971 is 1
LCM of denominators i.e. for 336,109 is 36624.
Thus, GCF of Fractions is 1/36624.Finally, GCF of Fractions for 9810/336, 5971/109 is 1/36624.