GCF of 2469/718, 4063/6856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2469/718, 4063/6856 i.e 1/2461304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2469/718, 4063/6856.
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 2469/718,4063/6856?
Given fractions are 2469/718,4063/6856
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 2469/718,4063/6856, numerators are 2469,4063
Denominators are 718,6856
The GCF of 2469,4063 is 1 .
LCM of 718,6856 is 2461304.
The greatest common factor of 2469/718,4063/6856 = [GCF of 2469,4063]/[LCM of 718,6856]= 1/2461304
Therefore, the GCF of 2469/718,4063/6856 is 1/2461304.
To find the highest common factor of 2469,4063, we have to find the factors of both numbers and list the highest common factor.
The factors of 2469 are 1, 3, 823, 2469
The factors of 4063 are 1, 17, 239, 4063
The HCF of 2469,4063 is 1.
Lets's calculate GCF of 2469,4063
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2469,4063 By Matching Biggest Common Factor Method
Now, list down the factors of 2469
:1,3,823,2469
Now, list down the factors of 4063
:1,17,239,4063
Greatest Common Factor
We found the factors 2469,4063 . The biggest common factor number is the GCF number.
So the greatest common factor 2469,4063 is 1.
Lets's calculate LCM of 718,6856
| 2 | 718, 6856 |
| 359, 3428 |
∴ So the LCM of the given numbers is 2 x 359 x 3428 = 2461304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2461304
Therefore, the GCF of Fractions 2469/718,4063/6856 is 1/2461304
Least Common Multiple of 718,6856 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 718,6856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,6856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,6856) x common factors =2 x 1 = 2
LCM(718,6856) = ( 718 × 6856 ) / 2
LCM(718,6856) = 4922608 / 2
LCM(718,6856) = 2461304
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2469/718, 4063/6856
1. What is the HCF of 2469,4063?
The HCF of 2469,4063 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 2469/718, 4063/6856?
Answer: GCF of Numerators as per given numbers 2469/718, 4063/6856 is
GCF of Numerators i.e. for 2469,4063 is 1
LCM of denominators i.e. for 718,6856 is 2461304.
Thus, GCF of Fractions is 1/2461304.Finally, GCF of Fractions for 2469/718, 4063/6856 is 1/2461304.