Use our free GCF of Fractions Calculator tool to compute the GCF of 1721/897, 4955/7035 i.e 1/2103465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1721/897, 4955/7035.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1721/897,4955/7035
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 1721/897,4955/7035, numerators are 1721,4955
Denominators are 897,7035
The GCF of 1721,4955 is 1 .
LCM of 897,7035 is 2103465.
The greatest common factor of 1721/897,4955/7035 = [GCF of 1721,4955]/[LCM of 897,7035]= 1/2103465
Therefore, the GCF of 1721/897,4955/7035 is 1/2103465.
To find the highest common factor of 1721,4955, we have to find the factors of both numbers and list the highest common factor.
The factors of 1721 are 1, 1721
The factors of 4955 are 1, 5, 991, 4955
The HCF of 1721,4955 is 1.
Lets's calculate GCF of 1721,4955
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1721
:1,1721
Now, list down the factors of 4955
:1,5,991,4955
Greatest Common Factor
We found the factors 1721,4955 . The biggest common factor number is the GCF number.
So the greatest common factor 1721,4955 is 1.
Lets's calculate LCM of 897,7035
3 | 897, 7035 |
299, 2345 |
∴ So the LCM of the given numbers is 3 x 299 x 2345 = 2103465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2103465
Therefore, the GCF of Fractions 1721/897,4955/7035 is 1/2103465
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 897,7035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,7035) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(897,7035) x common factors =3 x 1 = 3
LCM(897,7035) = ( 897 × 7035 ) / 3
LCM(897,7035) = 6310395 / 3
LCM(897,7035) = 2103465
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1721,4955?
The HCF of 1721,4955 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 1721/897, 4955/7035?
Answer: GCF of Numerators as per given numbers 1721/897, 4955/7035 is
GCF of Numerators i.e. for 1721,4955 is 1
LCM of denominators i.e. for 897,7035 is 2103465.
Thus, GCF of Fractions is 1/2103465.Finally, GCF of Fractions for 1721/897, 4955/7035 is 1/2103465.