Use our free GCF of Fractions Calculator tool to compute the GCF of 974/276, 438/468 i.e 2/10764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/276, 438/468.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/276,438/468
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 974/276,438/468, numerators are 974,438
Denominators are 276,468
The GCF of 974,438 is 2 .
LCM of 276,468 is 10764.
The greatest common factor of 974/276,438/468 = [GCF of 974,438]/[LCM of 276,468]= 2/10764
Therefore, the GCF of 974/276,438/468 is 2/10764.
To find the highest common factor of 974,438, 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 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 974,438 is 2.
Lets's calculate GCF of 974,438
2 | 974, 438 |
487, 219 |
∴ 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 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 974,438 . The biggest common factor number is the GCF number.
So the greatest common factor 974,438 is 2.
Lets's calculate LCM of 276,468
2 | 276, 468 |
2 | 138, 234 |
3 | 69, 117 |
23, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 39 = 10764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10764
Therefore, the GCF of Fractions 974/276,438/468 is 2/10764
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 276,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,468) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(276,468) x common factors =12 x 1 = 12
LCM(276,468) = ( 276 × 468 ) / 12
LCM(276,468) = 129168 / 12
LCM(276,468) = 10764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 974,438?
The HCF of 974,438 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 974/276, 438/468?
Answer: GCF of Numerators as per given numbers 974/276, 438/468 is
GCF of Numerators i.e. for 974,438 is 2
LCM of denominators i.e. for 276,468 is 10764.
Thus, GCF of Fractions is 2/10764.Finally, GCF of Fractions for 974/276, 438/468 is 2/10764.