GCF of 6802/284, 1658/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6802/284, 1658/3709 i.e 2/1053356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6802/284, 1658/3709.
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 6802/284,1658/3709?
Given fractions are 6802/284,1658/3709
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 6802/284,1658/3709, numerators are 6802,1658
Denominators are 284,3709
The GCF of 6802,1658 is 2 .
LCM of 284,3709 is 1053356.
The greatest common factor of 6802/284,1658/3709 = [GCF of 6802,1658]/[LCM of 284,3709]= 2/1053356
Therefore, the GCF of 6802/284,1658/3709 is 2/1053356.
To find the highest common factor of 6802,1658, we have to find the factors of both numbers and list the highest common factor.
The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802
The factors of 1658 are 1, 2, 829, 1658
The HCF of 6802,1658 is 2.
Lets's calculate GCF of 6802,1658
| 2 | 6802, 1658 |
| 3401, 829 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6802,1658 By Matching Biggest Common Factor Method
Now, list down the factors of 6802
:1,2,19,38,179,358,3401,6802
Now, list down the factors of 1658
:1,2,829,1658
Greatest Common Factor
We found the factors 6802,1658 . The biggest common factor number is the GCF number.
So the greatest common factor 6802,1658 is 2.
Lets's calculate LCM of 284,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 1053356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1053356
Therefore, the GCF of Fractions 6802/284,1658/3709 is 2/1053356
Least Common Multiple of 284,3709 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 284,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,3709) x common factors =1 x 1 = 1
LCM(284,3709) = ( 284 × 3709 ) / 1
LCM(284,3709) = 1053356 / 1
LCM(284,3709) = 1053356
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FAQs on GCF of Fractions of 6802/284, 1658/3709
1. What is the HCF of 6802,1658?
The HCF of 6802,1658 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 6802/284, 1658/3709?
Answer: GCF of Numerators as per given numbers 6802/284, 1658/3709 is
GCF of Numerators i.e. for 6802,1658 is 2
LCM of denominators i.e. for 284,3709 is 1053356.
Thus, GCF of Fractions is 2/1053356.Finally, GCF of Fractions for 6802/284, 1658/3709 is 2/1053356.