Use our free GCF of Fractions Calculator tool to compute the GCF of 699/298, 544/447 i.e 1/894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 699/298, 544/447.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 699/298,544/447
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 699/298,544/447, numerators are 699,544
Denominators are 298,447
The GCF of 699,544 is 1 .
LCM of 298,447 is 894.
The greatest common factor of 699/298,544/447 = [GCF of 699,544]/[LCM of 298,447]= 1/894
Therefore, the GCF of 699/298,544/447 is 1/894.
To find the highest common factor of 699,544, we have to find the factors of both numbers and list the highest common factor.
The factors of 699 are 1, 3, 233, 699
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The HCF of 699,544 is 1.
Lets's calculate GCF of 699,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 699
:1,3,233,699
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 699,544 . The biggest common factor number is the GCF number.
So the greatest common factor 699,544 is 1.
Lets's calculate LCM of 298,447
149 | 298, 447 |
2, 3 |
∴ So the LCM of the given numbers is 149 x 2 x 3 = 894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894
Therefore, the GCF of Fractions 699/298,544/447 is 1/894
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 298,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,447) = 149
common factors(in case of two or more numbers have common factors) = 1
GCF(298,447) x common factors =149 x 1 = 149
LCM(298,447) = ( 298 × 447 ) / 149
LCM(298,447) = 133206 / 149
LCM(298,447) = 894
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 699,544?
The HCF of 699,544 is 1
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 699/298, 544/447?
Answer: GCF of Numerators as per given numbers 699/298, 544/447 is
GCF of Numerators i.e. for 699,544 is 1
LCM of denominators i.e. for 298,447 is 894.
Thus, GCF of Fractions is 1/894.Finally, GCF of Fractions for 699/298, 544/447 is 1/894.