GCF of 6479/716, 9175/8296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6479/716, 9175/8296 i.e 1/1484984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6479/716, 9175/8296.
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 6479/716,9175/8296?
Given fractions are 6479/716,9175/8296
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 6479/716,9175/8296, numerators are 6479,9175
Denominators are 716,8296
The GCF of 6479,9175 is 1 .
LCM of 716,8296 is 1484984.
The greatest common factor of 6479/716,9175/8296 = [GCF of 6479,9175]/[LCM of 716,8296]= 1/1484984
Therefore, the GCF of 6479/716,9175/8296 is 1/1484984.
To find the highest common factor of 6479,9175, we have to find the factors of both numbers and list the highest common factor.
The factors of 6479 are 1, 11, 19, 31, 209, 341, 589, 6479
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The HCF of 6479,9175 is 1.
Lets's calculate GCF of 6479,9175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6479,9175 By Matching Biggest Common Factor Method
Now, list down the factors of 6479
:1,11,19,31,209,341,589,6479
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Greatest Common Factor
We found the factors 6479,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 6479,9175 is 1.
Lets's calculate LCM of 716,8296
| 2 | 716, 8296 |
| 2 | 358, 4148 |
| 179, 2074 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 2074 = 1484984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1484984
Therefore, the GCF of Fractions 6479/716,9175/8296 is 1/1484984
Least Common Multiple of 716,8296 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 716,8296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,8296) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(716,8296) x common factors =4 x 1 = 4
LCM(716,8296) = ( 716 × 8296 ) / 4
LCM(716,8296) = 5939936 / 4
LCM(716,8296) = 1484984
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FAQs on GCF of Fractions of 6479/716, 9175/8296
1. What is the HCF of 6479,9175?
The HCF of 6479,9175 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 6479/716, 9175/8296?
Answer: GCF of Numerators as per given numbers 6479/716, 9175/8296 is
GCF of Numerators i.e. for 6479,9175 is 1
LCM of denominators i.e. for 716,8296 is 1484984.
Thus, GCF of Fractions is 1/1484984.Finally, GCF of Fractions for 6479/716, 9175/8296 is 1/1484984.