Use our free GCF of Fractions Calculator tool to compute the GCF of 699/345, 653/111 i.e 1/12765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 699/345, 653/111.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 699/345,653/111
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 699/345,653/111, numerators are 699,653
Denominators are 345,111
The GCF of 699,653 is 1 .
LCM of 345,111 is 12765.
The greatest common factor of 699/345,653/111 = [GCF of 699,653]/[LCM of 345,111]= 1/12765
Therefore, the GCF of 699/345,653/111 is 1/12765.
To find the highest common factor of 699,653, 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 653 are 1, 653
The HCF of 699,653 is 1.
Lets's calculate GCF of 699,653
∴ 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 653
:1,653
Greatest Common Factor
We found the factors 699,653 . The biggest common factor number is the GCF number.
So the greatest common factor 699,653 is 1.
Lets's calculate LCM of 345,111
3 | 345, 111 |
115, 37 |
∴ So the LCM of the given numbers is 3 x 115 x 37 = 12765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12765
Therefore, the GCF of Fractions 699/345,653/111 is 1/12765
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 345,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,111) x common factors =3 x 1 = 3
LCM(345,111) = ( 345 × 111 ) / 3
LCM(345,111) = 38295 / 3
LCM(345,111) = 12765
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 699,653?
The HCF of 699,653 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 699/345, 653/111?
Answer: GCF of Numerators as per given numbers 699/345, 653/111 is
GCF of Numerators i.e. for 699,653 is 1
LCM of denominators i.e. for 345,111 is 12765.
Thus, GCF of Fractions is 1/12765.Finally, GCF of Fractions for 699/345, 653/111 is 1/12765.