Use our free GCF of Fractions Calculator tool to compute the GCF of 544/433, 830/137 i.e 2/59321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/433, 830/137.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/433,830/137
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 544/433,830/137, numerators are 544,830
Denominators are 433,137
The GCF of 544,830 is 2 .
LCM of 433,137 is 59321.
The greatest common factor of 544/433,830/137 = [GCF of 544,830]/[LCM of 433,137]= 2/59321
Therefore, the GCF of 544/433,830/137 is 2/59321.
To find the highest common factor of 544,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 544,830 is 2.
Lets's calculate GCF of 544,830
2 | 544, 830 |
272, 415 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 544,830 . The biggest common factor number is the GCF number.
So the greatest common factor 544,830 is 2.
Lets's calculate LCM of 433,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 59321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59321
Therefore, the GCF of Fractions 544/433,830/137 is 2/59321
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 433,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,137) x common factors =1 x 1 = 1
LCM(433,137) = ( 433 × 137 ) / 1
LCM(433,137) = 59321 / 1
LCM(433,137) = 59321
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 544,830?
The HCF of 544,830 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 544/433, 830/137?
Answer: GCF of Numerators as per given numbers 544/433, 830/137 is
GCF of Numerators i.e. for 544,830 is 2
LCM of denominators i.e. for 433,137 is 59321.
Thus, GCF of Fractions is 2/59321.Finally, GCF of Fractions for 544/433, 830/137 is 2/59321.