GCF of 6454/716, 5809/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6454/716, 5809/748 i.e 1/133892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6454/716, 5809/748.
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 6454/716,5809/748?
Given fractions are 6454/716,5809/748
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 6454/716,5809/748, numerators are 6454,5809
Denominators are 716,748
The GCF of 6454,5809 is 1 .
LCM of 716,748 is 133892.
The greatest common factor of 6454/716,5809/748 = [GCF of 6454,5809]/[LCM of 716,748]= 1/133892
Therefore, the GCF of 6454/716,5809/748 is 1/133892.
To find the highest common factor of 6454,5809, we have to find the factors of both numbers and list the highest common factor.
The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454
The factors of 5809 are 1, 37, 157, 5809
The HCF of 6454,5809 is 1.
Lets's calculate GCF of 6454,5809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6454,5809 By Matching Biggest Common Factor Method
Now, list down the factors of 6454
:1,2,7,14,461,922,3227,6454
Now, list down the factors of 5809
:1,37,157,5809
Greatest Common Factor
We found the factors 6454,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 6454,5809 is 1.
Lets's calculate LCM of 716,748
| 2 | 716, 748 |
| 2 | 358, 374 |
| 179, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 187 = 133892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133892
Therefore, the GCF of Fractions 6454/716,5809/748 is 1/133892
Least Common Multiple of 716,748 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 716,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,748) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(716,748) x common factors =4 x 1 = 4
LCM(716,748) = ( 716 × 748 ) / 4
LCM(716,748) = 535568 / 4
LCM(716,748) = 133892
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FAQs on GCF of Fractions of 6454/716, 5809/748
1. What is the HCF of 6454,5809?
The HCF of 6454,5809 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 6454/716, 5809/748?
Answer: GCF of Numerators as per given numbers 6454/716, 5809/748 is
GCF of Numerators i.e. for 6454,5809 is 1
LCM of denominators i.e. for 716,748 is 133892.
Thus, GCF of Fractions is 1/133892.Finally, GCF of Fractions for 6454/716, 5809/748 is 1/133892.