GCF of 9996/253, 1727/3461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9996/253, 1727/3461 i.e 1/875633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9996/253, 1727/3461.
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 9996/253,1727/3461?
Given fractions are 9996/253,1727/3461
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 9996/253,1727/3461, numerators are 9996,1727
Denominators are 253,3461
The GCF of 9996,1727 is 1 .
LCM of 253,3461 is 875633.
The greatest common factor of 9996/253,1727/3461 = [GCF of 9996,1727]/[LCM of 253,3461]= 1/875633
Therefore, the GCF of 9996/253,1727/3461 is 1/875633.
To find the highest common factor of 9996,1727, we have to find the factors of both numbers and list the highest common factor.
The factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
The factors of 1727 are 1, 11, 157, 1727
The HCF of 9996,1727 is 1.
Lets's calculate GCF of 9996,1727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9996,1727 By Matching Biggest Common Factor Method
Now, list down the factors of 9996
:1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996
Now, list down the factors of 1727
:1,11,157,1727
Greatest Common Factor
We found the factors 9996,1727 . The biggest common factor number is the GCF number.
So the greatest common factor 9996,1727 is 1.
Lets's calculate LCM of 253,3461
Given numbers has no common factors except 1. So, there LCM is their product i.e 875633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/875633
Therefore, the GCF of Fractions 9996/253,1727/3461 is 1/875633
Least Common Multiple of 253,3461 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 253,3461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,3461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,3461) x common factors =1 x 1 = 1
LCM(253,3461) = ( 253 × 3461 ) / 1
LCM(253,3461) = 875633 / 1
LCM(253,3461) = 875633
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FAQs on GCF of Fractions of 9996/253, 1727/3461
1. What is the HCF of 9996,1727?
The HCF of 9996,1727 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 9996/253, 1727/3461?
Answer: GCF of Numerators as per given numbers 9996/253, 1727/3461 is
GCF of Numerators i.e. for 9996,1727 is 1
LCM of denominators i.e. for 253,3461 is 875633.
Thus, GCF of Fractions is 1/875633.Finally, GCF of Fractions for 9996/253, 1727/3461 is 1/875633.