GCF of 1709/495, 6606/1999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1709/495, 6606/1999 i.e 1/989505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1709/495, 6606/1999.
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 1709/495,6606/1999?
Given fractions are 1709/495,6606/1999
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 1709/495,6606/1999, numerators are 1709,6606
Denominators are 495,1999
The GCF of 1709,6606 is 1 .
LCM of 495,1999 is 989505.
The greatest common factor of 1709/495,6606/1999 = [GCF of 1709,6606]/[LCM of 495,1999]= 1/989505
Therefore, the GCF of 1709/495,6606/1999 is 1/989505.
To find the highest common factor of 1709,6606, we have to find the factors of both numbers and list the highest common factor.
The factors of 1709 are 1, 1709
The factors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606
The HCF of 1709,6606 is 1.
Lets's calculate GCF of 1709,6606
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1709,6606 By Matching Biggest Common Factor Method
Now, list down the factors of 1709
:1,1709
Now, list down the factors of 6606
:1,2,3,6,9,18,367,734,1101,2202,3303,6606
Greatest Common Factor
We found the factors 1709,6606 . The biggest common factor number is the GCF number.
So the greatest common factor 1709,6606 is 1.
Lets's calculate LCM of 495,1999
Given numbers has no common factors except 1. So, there LCM is their product i.e 989505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/989505
Therefore, the GCF of Fractions 1709/495,6606/1999 is 1/989505
Least Common Multiple of 495,1999 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 495,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,1999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,1999) x common factors =1 x 1 = 1
LCM(495,1999) = ( 495 × 1999 ) / 1
LCM(495,1999) = 989505 / 1
LCM(495,1999) = 989505
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FAQs on GCF of Fractions of 1709/495, 6606/1999
1. What is the HCF of 1709,6606?
The HCF of 1709,6606 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 1709/495, 6606/1999?
Answer: GCF of Numerators as per given numbers 1709/495, 6606/1999 is
GCF of Numerators i.e. for 1709,6606 is 1
LCM of denominators i.e. for 495,1999 is 989505.
Thus, GCF of Fractions is 1/989505.Finally, GCF of Fractions for 1709/495, 6606/1999 is 1/989505.