GCF of 6462/459, 7086/5162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6462/459, 7086/5162 i.e 6/2369358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6462/459, 7086/5162.
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 6462/459,7086/5162?
Given fractions are 6462/459,7086/5162
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 6462/459,7086/5162, numerators are 6462,7086
Denominators are 459,5162
The GCF of 6462,7086 is 6 .
LCM of 459,5162 is 2369358.
The greatest common factor of 6462/459,7086/5162 = [GCF of 6462,7086]/[LCM of 459,5162]= 6/2369358
Therefore, the GCF of 6462/459,7086/5162 is 6/2369358.
To find the highest common factor of 6462,7086, we have to find the factors of both numbers and list the highest common factor.
The factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462
The factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086
The HCF of 6462,7086 is 6.
Lets's calculate GCF of 6462,7086
| 2 | 6462, 7086 |
| 3 | 3231, 3543 |
| 1077, 1181 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6462,7086 By Matching Biggest Common Factor Method
Now, list down the factors of 6462
:1,2,3,6,9,18,359,718,1077,2154,3231,6462
Now, list down the factors of 7086
:1,2,3,6,1181,2362,3543,7086
Greatest Common Factor
We found the factors 6462,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 6462,7086 is 6.
Lets's calculate LCM of 459,5162
Given numbers has no common factors except 1. So, there LCM is their product i.e 2369358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2369358
Therefore, the GCF of Fractions 6462/459,7086/5162 is 6/2369358
Least Common Multiple of 459,5162 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 459,5162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,5162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,5162) x common factors =1 x 1 = 1
LCM(459,5162) = ( 459 × 5162 ) / 1
LCM(459,5162) = 2369358 / 1
LCM(459,5162) = 2369358
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FAQs on GCF of Fractions of 6462/459, 7086/5162
1. What is the HCF of 6462,7086?
The HCF of 6462,7086 is 6
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 6462/459, 7086/5162?
Answer: GCF of Numerators as per given numbers 6462/459, 7086/5162 is
GCF of Numerators i.e. for 6462,7086 is 6
LCM of denominators i.e. for 459,5162 is 2369358.
Thus, GCF of Fractions is 6/2369358.Finally, GCF of Fractions for 6462/459, 7086/5162 is 6/2369358.