Use our free GCF of Fractions Calculator tool to compute the GCF of 673/897, 2770/4686 i.e 1/1401114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/897, 2770/4686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/897,2770/4686
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 673/897,2770/4686, numerators are 673,2770
Denominators are 897,4686
The GCF of 673,2770 is 1 .
LCM of 897,4686 is 1401114.
The greatest common factor of 673/897,2770/4686 = [GCF of 673,2770]/[LCM of 897,4686]= 1/1401114
Therefore, the GCF of 673/897,2770/4686 is 1/1401114.
To find the highest common factor of 673,2770, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770
The HCF of 673,2770 is 1.
Lets's calculate GCF of 673,2770
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 673
:1,673
Now, list down the factors of 2770
:1,2,5,10,277,554,1385,2770
Greatest Common Factor
We found the factors 673,2770 . The biggest common factor number is the GCF number.
So the greatest common factor 673,2770 is 1.
Lets's calculate LCM of 897,4686
3 | 897, 4686 |
299, 1562 |
∴ So the LCM of the given numbers is 3 x 299 x 1562 = 1401114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1401114
Therefore, the GCF of Fractions 673/897,2770/4686 is 1/1401114
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 897,4686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,4686) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,4686) x common factors =3 x 1 = 3
LCM(897,4686) = ( 897 × 4686 ) / 3
LCM(897,4686) = 4203342 / 3
LCM(897,4686) = 1401114
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 673,2770?
The HCF of 673,2770 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 673/897, 2770/4686?
Answer: GCF of Numerators as per given numbers 673/897, 2770/4686 is
GCF of Numerators i.e. for 673,2770 is 1
LCM of denominators i.e. for 897,4686 is 1401114.
Thus, GCF of Fractions is 1/1401114.Finally, GCF of Fractions for 673/897, 2770/4686 is 1/1401114.