GCF of 6622/419, 1692/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6622/419, 1692/398 i.e 2/166762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6622/419, 1692/398.
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 6622/419,1692/398?
Given fractions are 6622/419,1692/398
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 6622/419,1692/398, numerators are 6622,1692
Denominators are 419,398
The GCF of 6622,1692 is 2 .
LCM of 419,398 is 166762.
The greatest common factor of 6622/419,1692/398 = [GCF of 6622,1692]/[LCM of 419,398]= 2/166762
Therefore, the GCF of 6622/419,1692/398 is 2/166762.
To find the highest common factor of 6622,1692, we have to find the factors of both numbers and list the highest common factor.
The factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The HCF of 6622,1692 is 2.
Lets's calculate GCF of 6622,1692
| 2 | 6622, 1692 |
| 3311, 846 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6622,1692 By Matching Biggest Common Factor Method
Now, list down the factors of 6622
:1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 6622,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 6622,1692 is 2.
Lets's calculate LCM of 419,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 166762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166762
Therefore, the GCF of Fractions 6622/419,1692/398 is 2/166762
Least Common Multiple of 419,398 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 419,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,398) x common factors =1 x 1 = 1
LCM(419,398) = ( 419 × 398 ) / 1
LCM(419,398) = 166762 / 1
LCM(419,398) = 166762
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FAQs on GCF of Fractions of 6622/419, 1692/398
1. What is the HCF of 6622,1692?
The HCF of 6622,1692 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 6622/419, 1692/398?
Answer: GCF of Numerators as per given numbers 6622/419, 1692/398 is
GCF of Numerators i.e. for 6622,1692 is 2
LCM of denominators i.e. for 419,398 is 166762.
Thus, GCF of Fractions is 2/166762.Finally, GCF of Fractions for 6622/419, 1692/398 is 2/166762.