GCF of 6406/474, 3366/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6406/474, 3366/689 i.e 2/326586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6406/474, 3366/689.
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 6406/474,3366/689?
Given fractions are 6406/474,3366/689
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 6406/474,3366/689, numerators are 6406,3366
Denominators are 474,689
The GCF of 6406,3366 is 2 .
LCM of 474,689 is 326586.
The greatest common factor of 6406/474,3366/689 = [GCF of 6406,3366]/[LCM of 474,689]= 2/326586
Therefore, the GCF of 6406/474,3366/689 is 2/326586.
To find the highest common factor of 6406,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 6406 are 1, 2, 3203, 6406
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 6406,3366 is 2.
Lets's calculate GCF of 6406,3366
| 2 | 6406, 3366 |
| 3203, 1683 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6406,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 6406
:1,2,3203,6406
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 6406,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 6406,3366 is 2.
Lets's calculate LCM of 474,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 326586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/326586
Therefore, the GCF of Fractions 6406/474,3366/689 is 2/326586
Least Common Multiple of 474,689 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 474,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,689) x common factors =1 x 1 = 1
LCM(474,689) = ( 474 × 689 ) / 1
LCM(474,689) = 326586 / 1
LCM(474,689) = 326586
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FAQs on GCF of Fractions of 6406/474, 3366/689
1. What is the HCF of 6406,3366?
The HCF of 6406,3366 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 6406/474, 3366/689?
Answer: GCF of Numerators as per given numbers 6406/474, 3366/689 is
GCF of Numerators i.e. for 6406,3366 is 2
LCM of denominators i.e. for 474,689 is 326586.
Thus, GCF of Fractions is 2/326586.Finally, GCF of Fractions for 6406/474, 3366/689 is 2/326586.