GCF of 6427/414, 6788/6186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6427/414, 6788/6186 i.e 1/426834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6427/414, 6788/6186.
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 6427/414,6788/6186?
Given fractions are 6427/414,6788/6186
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 6427/414,6788/6186, numerators are 6427,6788
Denominators are 414,6186
The GCF of 6427,6788 is 1 .
LCM of 414,6186 is 426834.
The greatest common factor of 6427/414,6788/6186 = [GCF of 6427,6788]/[LCM of 414,6186]= 1/426834
Therefore, the GCF of 6427/414,6788/6186 is 1/426834.
To find the highest common factor of 6427,6788, we have to find the factors of both numbers and list the highest common factor.
The factors of 6427 are 1, 6427
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The HCF of 6427,6788 is 1.
Lets's calculate GCF of 6427,6788
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6427,6788 By Matching Biggest Common Factor Method
Now, list down the factors of 6427
:1,6427
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Greatest Common Factor
We found the factors 6427,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 6427,6788 is 1.
Lets's calculate LCM of 414,6186
| 2 | 414, 6186 |
| 3 | 207, 3093 |
| 69, 1031 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 1031 = 426834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426834
Therefore, the GCF of Fractions 6427/414,6788/6186 is 1/426834
Least Common Multiple of 414,6186 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 414,6186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6186) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6186) x common factors =6 x 1 = 6
LCM(414,6186) = ( 414 × 6186 ) / 6
LCM(414,6186) = 2561004 / 6
LCM(414,6186) = 426834
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FAQs on GCF of Fractions of 6427/414, 6788/6186
1. What is the HCF of 6427,6788?
The HCF of 6427,6788 is 1
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 6427/414, 6788/6186?
Answer: GCF of Numerators as per given numbers 6427/414, 6788/6186 is
GCF of Numerators i.e. for 6427,6788 is 1
LCM of denominators i.e. for 414,6186 is 426834.
Thus, GCF of Fractions is 1/426834.Finally, GCF of Fractions for 6427/414, 6788/6186 is 1/426834.