Use our free GCF of Fractions Calculator tool to compute the GCF of 974/216, 6422/5944 i.e 2/160488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/216, 6422/5944.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/216,6422/5944
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 974/216,6422/5944, numerators are 974,6422
Denominators are 216,5944
The GCF of 974,6422 is 2 .
LCM of 216,5944 is 160488.
The greatest common factor of 974/216,6422/5944 = [GCF of 974,6422]/[LCM of 216,5944]= 2/160488
Therefore, the GCF of 974/216,6422/5944 is 2/160488.
To find the highest common factor of 974,6422, 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 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
The HCF of 974,6422 is 2.
Lets's calculate GCF of 974,6422
2 | 974, 6422 |
487, 3211 |
∴ 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 6422
:1,2,13,19,26,38,169,247,338,494,3211,6422
Greatest Common Factor
We found the factors 974,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 974,6422 is 2.
Lets's calculate LCM of 216,5944
2 | 216, 5944 |
2 | 108, 2972 |
2 | 54, 1486 |
27, 743 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 743 = 160488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160488
Therefore, the GCF of Fractions 974/216,6422/5944 is 2/160488
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 216,5944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,5944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(216,5944) x common factors =8 x 1 = 8
LCM(216,5944) = ( 216 × 5944 ) / 8
LCM(216,5944) = 1283904 / 8
LCM(216,5944) = 160488
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 974,6422?
The HCF of 974,6422 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 974/216, 6422/5944?
Answer: GCF of Numerators as per given numbers 974/216, 6422/5944 is
GCF of Numerators i.e. for 974,6422 is 2
LCM of denominators i.e. for 216,5944 is 160488.
Thus, GCF of Fractions is 2/160488.Finally, GCF of Fractions for 974/216, 6422/5944 is 2/160488.