GCF of 9612/997, 5449/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9612/997, 5449/457 i.e 1/455629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9612/997, 5449/457.
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 9612/997,5449/457?
Given fractions are 9612/997,5449/457
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 9612/997,5449/457, numerators are 9612,5449
Denominators are 997,457
The GCF of 9612,5449 is 1 .
LCM of 997,457 is 455629.
The greatest common factor of 9612/997,5449/457 = [GCF of 9612,5449]/[LCM of 997,457]= 1/455629
Therefore, the GCF of 9612/997,5449/457 is 1/455629.
To find the highest common factor of 9612,5449, we have to find the factors of both numbers and list the highest common factor.
The factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612
The factors of 5449 are 1, 5449
The HCF of 9612,5449 is 1.
Lets's calculate GCF of 9612,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9612,5449 By Matching Biggest Common Factor Method
Now, list down the factors of 9612
:1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Now, list down the factors of 5449
:1,5449
Greatest Common Factor
We found the factors 9612,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 9612,5449 is 1.
Lets's calculate LCM of 997,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 455629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455629
Therefore, the GCF of Fractions 9612/997,5449/457 is 1/455629
Least Common Multiple of 997,457 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 997,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,457) x common factors =1 x 1 = 1
LCM(997,457) = ( 997 × 457 ) / 1
LCM(997,457) = 455629 / 1
LCM(997,457) = 455629
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FAQs on GCF of Fractions of 9612/997, 5449/457
1. What is the HCF of 9612,5449?
The HCF of 9612,5449 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 9612/997, 5449/457?
Answer: GCF of Numerators as per given numbers 9612/997, 5449/457 is
GCF of Numerators i.e. for 9612,5449 is 1
LCM of denominators i.e. for 997,457 is 455629.
Thus, GCF of Fractions is 1/455629.Finally, GCF of Fractions for 9612/997, 5449/457 is 1/455629.