Use our free GCF of Fractions Calculator tool to compute the GCF of 619/297, 270/101 i.e 1/29997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 619/297, 270/101.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 619/297,270/101
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 619/297,270/101, numerators are 619,270
Denominators are 297,101
The GCF of 619,270 is 1 .
LCM of 297,101 is 29997.
The greatest common factor of 619/297,270/101 = [GCF of 619,270]/[LCM of 297,101]= 1/29997
Therefore, the GCF of 619/297,270/101 is 1/29997.
To find the highest common factor of 619,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 619 are 1, 619
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 619,270 is 1.
Lets's calculate GCF of 619,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 619
:1,619
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 619,270 . The biggest common factor number is the GCF number.
So the greatest common factor 619,270 is 1.
Lets's calculate LCM of 297,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 29997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29997
Therefore, the GCF of Fractions 619/297,270/101 is 1/29997
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 297,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,101) x common factors =1 x 1 = 1
LCM(297,101) = ( 297 × 101 ) / 1
LCM(297,101) = 29997 / 1
LCM(297,101) = 29997
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 619,270?
The HCF of 619,270 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 619/297, 270/101?
Answer: GCF of Numerators as per given numbers 619/297, 270/101 is
GCF of Numerators i.e. for 619,270 is 1
LCM of denominators i.e. for 297,101 is 29997.
Thus, GCF of Fractions is 1/29997.Finally, GCF of Fractions for 619/297, 270/101 is 1/29997.