Use our free GCF of Fractions Calculator tool to compute the GCF of 974/789, 486/851 i.e 2/671439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/789, 486/851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/789,486/851
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 974/789,486/851, numerators are 974,486
Denominators are 789,851
The GCF of 974,486 is 2 .
LCM of 789,851 is 671439.
The greatest common factor of 974/789,486/851 = [GCF of 974,486]/[LCM of 789,851]= 2/671439
Therefore, the GCF of 974/789,486/851 is 2/671439.
To find the highest common factor of 974,486, 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 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 974,486 is 2.
Lets's calculate GCF of 974,486
2 | 974, 486 |
487, 243 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 974,486 . The biggest common factor number is the GCF number.
So the greatest common factor 974,486 is 2.
Lets's calculate LCM of 789,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 671439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/671439
Therefore, the GCF of Fractions 974/789,486/851 is 2/671439
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 789,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,851) x common factors =1 x 1 = 1
LCM(789,851) = ( 789 × 851 ) / 1
LCM(789,851) = 671439 / 1
LCM(789,851) = 671439
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 974,486?
The HCF of 974,486 is 2
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 974/789, 486/851?
Answer: GCF of Numerators as per given numbers 974/789, 486/851 is
GCF of Numerators i.e. for 974,486 is 2
LCM of denominators i.e. for 789,851 is 671439.
Thus, GCF of Fractions is 2/671439.Finally, GCF of Fractions for 974/789, 486/851 is 2/671439.