Use our free GCF of Fractions Calculator tool to compute the GCF of 621/268, 617/275 i.e 1/73700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/268, 617/275.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/268,617/275
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 621/268,617/275, numerators are 621,617
Denominators are 268,275
The GCF of 621,617 is 1 .
LCM of 268,275 is 73700.
The greatest common factor of 621/268,617/275 = [GCF of 621,617]/[LCM of 268,275]= 1/73700
Therefore, the GCF of 621/268,617/275 is 1/73700.
To find the highest common factor of 621,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 617 are 1, 617
The HCF of 621,617 is 1.
Lets's calculate GCF of 621,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 621,617 . The biggest common factor number is the GCF number.
So the greatest common factor 621,617 is 1.
Lets's calculate LCM of 268,275
Given numbers has no common factors except 1. So, there LCM is their product i.e 73700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73700
Therefore, the GCF of Fractions 621/268,617/275 is 1/73700
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 268,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,275) x common factors =1 x 1 = 1
LCM(268,275) = ( 268 × 275 ) / 1
LCM(268,275) = 73700 / 1
LCM(268,275) = 73700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 621,617?
The HCF of 621,617 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 621/268, 617/275?
Answer: GCF of Numerators as per given numbers 621/268, 617/275 is
GCF of Numerators i.e. for 621,617 is 1
LCM of denominators i.e. for 268,275 is 73700.
Thus, GCF of Fractions is 1/73700.Finally, GCF of Fractions for 621/268, 617/275 is 1/73700.