GCF of 6682/690, 1708/392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6682/690, 1708/392 i.e 2/135240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6682/690, 1708/392.
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 6682/690,1708/392?
Given fractions are 6682/690,1708/392
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 6682/690,1708/392, numerators are 6682,1708
Denominators are 690,392
The GCF of 6682,1708 is 2 .
LCM of 690,392 is 135240.
The greatest common factor of 6682/690,1708/392 = [GCF of 6682,1708]/[LCM of 690,392]= 2/135240
Therefore, the GCF of 6682/690,1708/392 is 2/135240.
To find the highest common factor of 6682,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 6682,1708 is 2.
Lets's calculate GCF of 6682,1708
| 2 | 6682, 1708 |
| 3341, 854 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6682,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 6682
:1,2,13,26,257,514,3341,6682
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 6682,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 6682,1708 is 2.
Lets's calculate LCM of 690,392
| 2 | 690, 392 |
| 345, 196 |
∴ So the LCM of the given numbers is 2 x 345 x 196 = 135240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/135240
Therefore, the GCF of Fractions 6682/690,1708/392 is 2/135240
Least Common Multiple of 690,392 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 690,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,392) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,392) x common factors =2 x 1 = 2
LCM(690,392) = ( 690 × 392 ) / 2
LCM(690,392) = 270480 / 2
LCM(690,392) = 135240
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FAQs on GCF of Fractions of 6682/690, 1708/392
1. What is the HCF of 6682,1708?
The HCF of 6682,1708 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 6682/690, 1708/392?
Answer: GCF of Numerators as per given numbers 6682/690, 1708/392 is
GCF of Numerators i.e. for 6682,1708 is 2
LCM of denominators i.e. for 690,392 is 135240.
Thus, GCF of Fractions is 2/135240.Finally, GCF of Fractions for 6682/690, 1708/392 is 2/135240.