GCF of 997/45, 664/1413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 997/45, 664/1413 i.e 1/7065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/45, 664/1413.
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 997/45,664/1413?
Given fractions are 997/45,664/1413
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 997/45,664/1413, numerators are 997,664
Denominators are 45,1413
The GCF of 997,664 is 1 .
LCM of 45,1413 is 7065.
The greatest common factor of 997/45,664/1413 = [GCF of 997,664]/[LCM of 45,1413]= 1/7065
Therefore, the GCF of 997/45,664/1413 is 1/7065.
To find the highest common factor of 997,664, we have to find the factors of both numbers and list the highest common factor.
The factors of 997 are 1, 997
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The HCF of 997,664 is 1.
Lets's calculate GCF of 997,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 997,664 By Matching Biggest Common Factor Method
Now, list down the factors of 997
:1,997
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 997,664 . The biggest common factor number is the GCF number.
So the greatest common factor 997,664 is 1.
Lets's calculate LCM of 45,1413
| 3 | 45, 1413 |
| 3 | 15, 471 |
| 5, 157 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 157 = 7065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7065
Therefore, the GCF of Fractions 997/45,664/1413 is 1/7065
Least Common Multiple of 45,1413 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 45,1413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,1413) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(45,1413) x common factors =9 x 1 = 9
LCM(45,1413) = ( 45 × 1413 ) / 9
LCM(45,1413) = 63585 / 9
LCM(45,1413) = 7065
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FAQs on GCF of Fractions of 997/45, 664/1413
1. What is the HCF of 997,664?
The HCF of 997,664 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 997/45, 664/1413?
Answer: GCF of Numerators as per given numbers 997/45, 664/1413 is
GCF of Numerators i.e. for 997,664 is 1
LCM of denominators i.e. for 45,1413 is 7065.
Thus, GCF of Fractions is 1/7065.Finally, GCF of Fractions for 997/45, 664/1413 is 1/7065.