Use our free GCF of Fractions Calculator tool to compute the GCF of 36/709, 349/228, 663/706 i.e 1/57063156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/709, 349/228, 663/706.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/709,349/228,663/706
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 36/709,349/228,663/706, numerators are 36,349,663
Denominators are 709,228,706
The GCF of 36,349,663 is 1 .
LCM of 709,228,706 is 57063156.
The greatest common factor of 36/709,349/228,663/706 = [GCF of 36,349,663]/[LCM of 709,228,706]= 1/57063156
Therefore, the GCF of 36/709,349/228,663/706 is 1/57063156.
To find the highest common factor of 36,349,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 349 are 1, 349
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 36,349,663 is 1.
Lets's calculate GCF of 36,349,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 349
:1,349
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 36,349,663 . The biggest common factor number is the GCF number.
So the greatest common factor 36,349,663 is 1.
Lets's calculate LCM of 709,228,706
2 | 709, 228, 706 |
709, 114, 353 |
∴ So the LCM of the given numbers is 2 x 709 x 114 x 353 = 57063156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57063156
Therefore, the GCF of Fractions 36/709,349/228,663/706 is 1/57063156
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 709,228,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,228,706) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(709,228,706) x common factors =1 x 2 = 2
LCM(709,228,706) = ( 709 × 228 × 706 ) / 2
LCM(709,228,706) = 114126312 / 2
LCM(709,228,706) = 57063156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,349,663?
The HCF of 36,349,663 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 36/709, 349/228, 663/706?
Answer: GCF of Numerators as per given numbers 36/709, 349/228, 663/706 is
GCF of Numerators i.e. for 36,349,663 is 1
LCM of denominators i.e. for 709,228,706 is 57063156.
Thus, GCF of Fractions is 1/57063156.Finally, GCF of Fractions for 36/709, 349/228, 663/706 is 1/57063156.