Use our free GCF of Fractions Calculator tool to compute the GCF of 277/843, 217/462 i.e 1/129822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/843, 217/462.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 277/843,217/462
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 277/843,217/462, numerators are 277,217
Denominators are 843,462
The GCF of 277,217 is 1 .
LCM of 843,462 is 129822.
The greatest common factor of 277/843,217/462 = [GCF of 277,217]/[LCM of 843,462]= 1/129822
Therefore, the GCF of 277/843,217/462 is 1/129822.
To find the highest common factor of 277,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 277 are 1, 277
The factors of 217 are 1, 7, 31, 217
The HCF of 277,217 is 1.
Lets's calculate GCF of 277,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 277
:1,277
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 277,217 . The biggest common factor number is the GCF number.
So the greatest common factor 277,217 is 1.
Lets's calculate LCM of 843,462
3 | 843, 462 |
281, 154 |
∴ So the LCM of the given numbers is 3 x 281 x 154 = 129822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129822
Therefore, the GCF of Fractions 277/843,217/462 is 1/129822
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 843,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,462) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(843,462) x common factors =3 x 1 = 3
LCM(843,462) = ( 843 × 462 ) / 3
LCM(843,462) = 389466 / 3
LCM(843,462) = 129822
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 277,217?
The HCF of 277,217 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 277/843, 217/462?
Answer: GCF of Numerators as per given numbers 277/843, 217/462 is
GCF of Numerators i.e. for 277,217 is 1
LCM of denominators i.e. for 843,462 is 129822.
Thus, GCF of Fractions is 1/129822.Finally, GCF of Fractions for 277/843, 217/462 is 1/129822.