GCF of 6469/763, 6659/6167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6469/763, 6659/6167 i.e 1/672203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6469/763, 6659/6167.
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 6469/763,6659/6167?
Given fractions are 6469/763,6659/6167
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 6469/763,6659/6167, numerators are 6469,6659
Denominators are 763,6167
The GCF of 6469,6659 is 1 .
LCM of 763,6167 is 672203.
The greatest common factor of 6469/763,6659/6167 = [GCF of 6469,6659]/[LCM of 763,6167]= 1/672203
Therefore, the GCF of 6469/763,6659/6167 is 1/672203.
To find the highest common factor of 6469,6659, we have to find the factors of both numbers and list the highest common factor.
The factors of 6469 are 1, 6469
The factors of 6659 are 1, 6659
The HCF of 6469,6659 is 1.
Lets's calculate GCF of 6469,6659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6469,6659 By Matching Biggest Common Factor Method
Now, list down the factors of 6469
:1,6469
Now, list down the factors of 6659
:1,6659
Greatest Common Factor
We found the factors 6469,6659 . The biggest common factor number is the GCF number.
So the greatest common factor 6469,6659 is 1.
Lets's calculate LCM of 763,6167
| 7 | 763, 6167 |
| 109, 881 |
∴ So the LCM of the given numbers is 7 x 109 x 881 = 672203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672203
Therefore, the GCF of Fractions 6469/763,6659/6167 is 1/672203
Least Common Multiple of 763,6167 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 763,6167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,6167) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(763,6167) x common factors =7 x 1 = 7
LCM(763,6167) = ( 763 × 6167 ) / 7
LCM(763,6167) = 4705421 / 7
LCM(763,6167) = 672203
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FAQs on GCF of Fractions of 6469/763, 6659/6167
1. What is the HCF of 6469,6659?
The HCF of 6469,6659 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 6469/763, 6659/6167?
Answer: GCF of Numerators as per given numbers 6469/763, 6659/6167 is
GCF of Numerators i.e. for 6469,6659 is 1
LCM of denominators i.e. for 763,6167 is 672203.
Thus, GCF of Fractions is 1/672203.Finally, GCF of Fractions for 6469/763, 6659/6167 is 1/672203.