GCF of 6706/409, 9807/3602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6706/409, 9807/3602 i.e 7/1473218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6706/409, 9807/3602.
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 6706/409,9807/3602?
Given fractions are 6706/409,9807/3602
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 6706/409,9807/3602, numerators are 6706,9807
Denominators are 409,3602
The GCF of 6706,9807 is 7 .
LCM of 409,3602 is 1473218.
The greatest common factor of 6706/409,9807/3602 = [GCF of 6706,9807]/[LCM of 409,3602]= 7/1473218
Therefore, the GCF of 6706/409,9807/3602 is 7/1473218.
To find the highest common factor of 6706,9807, we have to find the factors of both numbers and list the highest common factor.
The factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706
The factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807
The HCF of 6706,9807 is 7.
Lets's calculate GCF of 6706,9807
| 7 | 6706, 9807 |
| 958, 1401 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6706,9807 By Matching Biggest Common Factor Method
Now, list down the factors of 6706
:1,2,7,14,479,958,3353,6706
Now, list down the factors of 9807
:1,3,7,21,467,1401,3269,9807
Greatest Common Factor
We found the factors 6706,9807 . The biggest common factor number is the GCF number.
So the greatest common factor 6706,9807 is 7.
Lets's calculate LCM of 409,3602
Given numbers has no common factors except 1. So, there LCM is their product i.e 1473218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1473218
Therefore, the GCF of Fractions 6706/409,9807/3602 is 7/1473218
Least Common Multiple of 409,3602 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 409,3602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,3602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,3602) x common factors =1 x 1 = 1
LCM(409,3602) = ( 409 × 3602 ) / 1
LCM(409,3602) = 1473218 / 1
LCM(409,3602) = 1473218
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FAQs on GCF of Fractions of 6706/409, 9807/3602
1. What is the HCF of 6706,9807?
The HCF of 6706,9807 is 7
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 6706/409, 9807/3602?
Answer: GCF of Numerators as per given numbers 6706/409, 9807/3602 is
GCF of Numerators i.e. for 6706,9807 is 7
LCM of denominators i.e. for 409,3602 is 1473218.
Thus, GCF of Fractions is 7/1473218.Finally, GCF of Fractions for 6706/409, 9807/3602 is 7/1473218.