Use our free GCF of Fractions Calculator tool to compute the GCF of 46/437, 72/557, 274/317 i.e 2/77160653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/437, 72/557, 274/317.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/437,72/557,274/317
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 46/437,72/557,274/317, numerators are 46,72,274
Denominators are 437,557,317
The GCF of 46,72,274 is 2 .
LCM of 437,557,317 is 77160653.
The greatest common factor of 46/437,72/557,274/317 = [GCF of 46,72,274]/[LCM of 437,557,317]= 2/77160653
Therefore, the GCF of 46/437,72/557,274/317 is 2/77160653.
To find the highest common factor of 46,72,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 274 are 1, 2, 137, 274
The HCF of 46,72,274 is 2.
Lets's calculate GCF of 46,72,274
2 | 46, 72, 274 |
23, 36, 137 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 46,72,274 . The biggest common factor number is the GCF number.
So the greatest common factor 46,72,274 is 2.
Lets's calculate LCM of 437,557,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 77160653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77160653
Therefore, the GCF of Fractions 46/437,72/557,274/317 is 2/77160653
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 437,557,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,557,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,557,317) x common factors =1 x 1 = 1
LCM(437,557,317) = ( 437 × 557 × 317 ) / 1
LCM(437,557,317) = 77160653 / 1
LCM(437,557,317) = 77160653
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,72,274?
The HCF of 46,72,274 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 46/437, 72/557, 274/317?
Answer: GCF of Numerators as per given numbers 46/437, 72/557, 274/317 is
GCF of Numerators i.e. for 46,72,274 is 2
LCM of denominators i.e. for 437,557,317 is 77160653.
Thus, GCF of Fractions is 2/77160653.Finally, GCF of Fractions for 46/437, 72/557, 274/317 is 2/77160653.