GCF of 6402/346, 6633/7086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6402/346, 6633/7086 i.e 33/1225878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6402/346, 6633/7086.
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 6402/346,6633/7086?
Given fractions are 6402/346,6633/7086
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 6402/346,6633/7086, numerators are 6402,6633
Denominators are 346,7086
The GCF of 6402,6633 is 33 .
LCM of 346,7086 is 1225878.
The greatest common factor of 6402/346,6633/7086 = [GCF of 6402,6633]/[LCM of 346,7086]= 33/1225878
Therefore, the GCF of 6402/346,6633/7086 is 33/1225878.
To find the highest common factor of 6402,6633, we have to find the factors of both numbers and list the highest common factor.
The factors of 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402
The factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633
The HCF of 6402,6633 is 33.
Lets's calculate GCF of 6402,6633
| 3 | 6402, 6633 |
| 11 | 2134, 2211 |
| 194, 201 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 6402,6633 By Matching Biggest Common Factor Method
Now, list down the factors of 6402
:1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402
Now, list down the factors of 6633
:1,3,9,11,33,67,99,201,603,737,2211,6633
Greatest Common Factor
We found the factors 6402,6633 . The biggest common factor number is the GCF number.
So the greatest common factor 6402,6633 is 33.
Lets's calculate LCM of 346,7086
| 2 | 346, 7086 |
| 173, 3543 |
∴ So the LCM of the given numbers is 2 x 173 x 3543 = 1225878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1225878
Therefore, the GCF of Fractions 6402/346,6633/7086 is 33/1225878
Least Common Multiple of 346,7086 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 346,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,7086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,7086) x common factors =2 x 1 = 2
LCM(346,7086) = ( 346 × 7086 ) / 2
LCM(346,7086) = 2451756 / 2
LCM(346,7086) = 1225878
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FAQs on GCF of Fractions of 6402/346, 6633/7086
1. What is the HCF of 6402,6633?
The HCF of 6402,6633 is 33
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 6402/346, 6633/7086?
Answer: GCF of Numerators as per given numbers 6402/346, 6633/7086 is
GCF of Numerators i.e. for 6402,6633 is 33
LCM of denominators i.e. for 346,7086 is 1225878.
Thus, GCF of Fractions is 33/1225878.Finally, GCF of Fractions for 6402/346, 6633/7086 is 33/1225878.