Use our free GCF of Fractions Calculator tool to compute the GCF of 83/277, 22/410, 501/325 i.e 1/7382050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/277, 22/410, 501/325.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/277,22/410,501/325
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 83/277,22/410,501/325, numerators are 83,22,501
Denominators are 277,410,325
The GCF of 83,22,501 is 1 .
LCM of 277,410,325 is 7382050.
The greatest common factor of 83/277,22/410,501/325 = [GCF of 83,22,501]/[LCM of 277,410,325]= 1/7382050
Therefore, the GCF of 83/277,22/410,501/325 is 1/7382050.
To find the highest common factor of 83,22,501, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 22 are 1, 2, 11, 22
The factors of 501 are 1, 3, 167, 501
The HCF of 83,22,501 is 1.
Lets's calculate GCF of 83,22,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 83
:1,83
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 501
:1,3,167,501
Greatest Common Factor
We found the factors 83,22,501 . The biggest common factor number is the GCF number.
So the greatest common factor 83,22,501 is 1.
Lets's calculate LCM of 277,410,325
5 | 277, 410, 325 |
277, 82, 65 |
∴ So the LCM of the given numbers is 5 x 277 x 82 x 65 = 7382050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7382050
Therefore, the GCF of Fractions 83/277,22/410,501/325 is 1/7382050
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 277,410,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,410,325) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(277,410,325) x common factors =1 x 5 = 5
LCM(277,410,325) = ( 277 × 410 × 325 ) / 5
LCM(277,410,325) = 36910250 / 5
LCM(277,410,325) = 7382050
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 83,22,501?
The HCF of 83,22,501 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 83/277, 22/410, 501/325?
Answer: GCF of Numerators as per given numbers 83/277, 22/410, 501/325 is
GCF of Numerators i.e. for 83,22,501 is 1
LCM of denominators i.e. for 277,410,325 is 7382050.
Thus, GCF of Fractions is 1/7382050.Finally, GCF of Fractions for 83/277, 22/410, 501/325 is 1/7382050.