GCF of 6706/646, 6462/7018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6706/646, 6462/7018 i.e 2/2266814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6706/646, 6462/7018.
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 6706/646,6462/7018?
Given fractions are 6706/646,6462/7018
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 6706/646,6462/7018, numerators are 6706,6462
Denominators are 646,7018
The GCF of 6706,6462 is 2 .
LCM of 646,7018 is 2266814.
The greatest common factor of 6706/646,6462/7018 = [GCF of 6706,6462]/[LCM of 646,7018]= 2/2266814
Therefore, the GCF of 6706/646,6462/7018 is 2/2266814.
To find the highest common factor of 6706,6462, 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 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462
The HCF of 6706,6462 is 2.
Lets's calculate GCF of 6706,6462
| 2 | 6706, 6462 |
| 3353, 3231 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6706,6462 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 6462
:1,2,3,6,9,18,359,718,1077,2154,3231,6462
Greatest Common Factor
We found the factors 6706,6462 . The biggest common factor number is the GCF number.
So the greatest common factor 6706,6462 is 2.
Lets's calculate LCM of 646,7018
| 2 | 646, 7018 |
| 323, 3509 |
∴ So the LCM of the given numbers is 2 x 323 x 3509 = 2266814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2266814
Therefore, the GCF of Fractions 6706/646,6462/7018 is 2/2266814
Least Common Multiple of 646,7018 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 646,7018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,7018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,7018) x common factors =2 x 1 = 2
LCM(646,7018) = ( 646 × 7018 ) / 2
LCM(646,7018) = 4533628 / 2
LCM(646,7018) = 2266814
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FAQs on GCF of Fractions of 6706/646, 6462/7018
1. What is the HCF of 6706,6462?
The HCF of 6706,6462 is 2
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 6706/646, 6462/7018?
Answer: GCF of Numerators as per given numbers 6706/646, 6462/7018 is
GCF of Numerators i.e. for 6706,6462 is 2
LCM of denominators i.e. for 646,7018 is 2266814.
Thus, GCF of Fractions is 2/2266814.Finally, GCF of Fractions for 6706/646, 6462/7018 is 2/2266814.