Use our free GCF of Fractions Calculator tool to compute the GCF of 427/554, 549/794 i.e 61/219938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 427/554, 549/794.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 427/554,549/794
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 427/554,549/794, numerators are 427,549
Denominators are 554,794
The GCF of 427,549 is 61 .
LCM of 554,794 is 219938.
The greatest common factor of 427/554,549/794 = [GCF of 427,549]/[LCM of 554,794]= 61/219938
Therefore, the GCF of 427/554,549/794 is 61/219938.
To find the highest common factor of 427,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 427 are 1, 7, 61, 427
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 427,549 is 61.
Lets's calculate GCF of 427,549
61 | 427, 549 |
7, 9 |
∴ So the GCF of the given numbers is 61 = 61
Now, list down the factors of 427
:1,7,61,427
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 427,549 . The biggest common factor number is the GCF number.
So the greatest common factor 427,549 is 61.
Lets's calculate LCM of 554,794
2 | 554, 794 |
277, 397 |
∴ So the LCM of the given numbers is 2 x 277 x 397 = 219938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/219938
Therefore, the GCF of Fractions 427/554,549/794 is 61/219938
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 554,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,794) x common factors =2 x 1 = 2
LCM(554,794) = ( 554 × 794 ) / 2
LCM(554,794) = 439876 / 2
LCM(554,794) = 219938
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 427,549?
The HCF of 427,549 is 61
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 427/554, 549/794?
Answer: GCF of Numerators as per given numbers 427/554, 549/794 is
GCF of Numerators i.e. for 427,549 is 61
LCM of denominators i.e. for 554,794 is 219938.
Thus, GCF of Fractions is 61/219938.Finally, GCF of Fractions for 427/554, 549/794 is 61/219938.