GCF of 974/649, 821/944, 298/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/649, 821/944, 298/771 i.e 1/8006064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/649, 821/944, 298/771.
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 974/649,821/944,298/771?
Given fractions are 974/649,821/944,298/771
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 974/649,821/944,298/771, numerators are 974,821,298
Denominators are 649,944,771
The GCF of 974,821,298 is 1 .
LCM of 649,944,771 is 8006064.
The greatest common factor of 974/649,821/944,298/771 = [GCF of 974,821,298]/[LCM of 649,944,771]= 1/8006064
Therefore, the GCF of 974/649,821/944,298/771 is 1/8006064.
To find the highest common factor of 974,821,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 821 are 1, 821
The factors of 298 are 1, 2, 149, 298
The HCF of 974,821,298 is 1.
Lets's calculate GCF of 974,821,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 974,821,298 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 821
:1,821
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 974,821,298 . The biggest common factor number is the GCF number.
So the greatest common factor 974,821,298 is 1.
Lets's calculate LCM of 649,944,771
| 59 | 649, 944, 771 |
| 11, 16, 771 |
∴ So the LCM of the given numbers is 59 x 11 x 16 x 771 = 8006064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8006064
Therefore, the GCF of Fractions 974/649,821/944,298/771 is 1/8006064
Least Common Multiple of 649,944,771 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 649,944,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,944,771) = 1
common factors(in case of two or more numbers have common factors) = 59
GCF(649,944,771) x common factors =1 x 59 = 59
LCM(649,944,771) = ( 649 × 944 × 771 ) / 59
LCM(649,944,771) = 472357776 / 59
LCM(649,944,771) = 8006064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 974/649, 821/944, 298/771
1. What is the HCF of 974,821,298?
The HCF of 974,821,298 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 974/649, 821/944, 298/771?
Answer: GCF of Numerators as per given numbers 974/649, 821/944, 298/771 is
GCF of Numerators i.e. for 974,821,298 is 1
LCM of denominators i.e. for 649,944,771 is 8006064.
Thus, GCF of Fractions is 1/8006064.Finally, GCF of Fractions for 974/649, 821/944, 298/771 is 1/8006064.