GCF of 9804/213, 8377/2734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9804/213, 8377/2734 i.e 1/582342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9804/213, 8377/2734.
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 9804/213,8377/2734?
Given fractions are 9804/213,8377/2734
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 9804/213,8377/2734, numerators are 9804,8377
Denominators are 213,2734
The GCF of 9804,8377 is 1 .
LCM of 213,2734 is 582342.
The greatest common factor of 9804/213,8377/2734 = [GCF of 9804,8377]/[LCM of 213,2734]= 1/582342
Therefore, the GCF of 9804/213,8377/2734 is 1/582342.
To find the highest common factor of 9804,8377, we have to find the factors of both numbers and list the highest common factor.
The factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804
The factors of 8377 are 1, 8377
The HCF of 9804,8377 is 1.
Lets's calculate GCF of 9804,8377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9804,8377 By Matching Biggest Common Factor Method
Now, list down the factors of 9804
:1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Now, list down the factors of 8377
:1,8377
Greatest Common Factor
We found the factors 9804,8377 . The biggest common factor number is the GCF number.
So the greatest common factor 9804,8377 is 1.
Lets's calculate LCM of 213,2734
Given numbers has no common factors except 1. So, there LCM is their product i.e 582342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582342
Therefore, the GCF of Fractions 9804/213,8377/2734 is 1/582342
Least Common Multiple of 213,2734 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 213,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,2734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,2734) x common factors =1 x 1 = 1
LCM(213,2734) = ( 213 × 2734 ) / 1
LCM(213,2734) = 582342 / 1
LCM(213,2734) = 582342
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FAQs on GCF of Fractions of 9804/213, 8377/2734
1. What is the HCF of 9804,8377?
The HCF of 9804,8377 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 9804/213, 8377/2734?
Answer: GCF of Numerators as per given numbers 9804/213, 8377/2734 is
GCF of Numerators i.e. for 9804,8377 is 1
LCM of denominators i.e. for 213,2734 is 582342.
Thus, GCF of Fractions is 1/582342.Finally, GCF of Fractions for 9804/213, 8377/2734 is 1/582342.