Use our free GCF of Fractions Calculator tool to compute the GCF of 697/412, 772/848 i.e 1/87344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 697/412, 772/848.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 697/412,772/848
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 697/412,772/848, numerators are 697,772
Denominators are 412,848
The GCF of 697,772 is 1 .
LCM of 412,848 is 87344.
The greatest common factor of 697/412,772/848 = [GCF of 697,772]/[LCM of 412,848]= 1/87344
Therefore, the GCF of 697/412,772/848 is 1/87344.
To find the highest common factor of 697,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 697 are 1, 17, 41, 697
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 697,772 is 1.
Lets's calculate GCF of 697,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 697
:1,17,41,697
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 697,772 . The biggest common factor number is the GCF number.
So the greatest common factor 697,772 is 1.
Lets's calculate LCM of 412,848
2 | 412, 848 |
2 | 206, 424 |
103, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 212 = 87344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87344
Therefore, the GCF of Fractions 697/412,772/848 is 1/87344
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 412,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,848) x common factors =4 x 1 = 4
LCM(412,848) = ( 412 × 848 ) / 4
LCM(412,848) = 349376 / 4
LCM(412,848) = 87344
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 697,772?
The HCF of 697,772 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 697/412, 772/848?
Answer: GCF of Numerators as per given numbers 697/412, 772/848 is
GCF of Numerators i.e. for 697,772 is 1
LCM of denominators i.e. for 412,848 is 87344.
Thus, GCF of Fractions is 1/87344.Finally, GCF of Fractions for 697/412, 772/848 is 1/87344.