Use our free GCF of Fractions Calculator tool to compute the GCF of 757/272, 422/766 i.e 1/104176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/272, 422/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 757/272,422/766
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 757/272,422/766, numerators are 757,422
Denominators are 272,766
The GCF of 757,422 is 1 .
LCM of 272,766 is 104176.
The greatest common factor of 757/272,422/766 = [GCF of 757,422]/[LCM of 272,766]= 1/104176
Therefore, the GCF of 757/272,422/766 is 1/104176.
To find the highest common factor of 757,422, we have to find the factors of both numbers and list the highest common factor.
The factors of 757 are 1, 757
The factors of 422 are 1, 2, 211, 422
The HCF of 757,422 is 1.
Lets's calculate GCF of 757,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 757
:1,757
Now, list down the factors of 422
:1,2,211,422
Greatest Common Factor
We found the factors 757,422 . The biggest common factor number is the GCF number.
So the greatest common factor 757,422 is 1.
Lets's calculate LCM of 272,766
2 | 272, 766 |
136, 383 |
∴ So the LCM of the given numbers is 2 x 136 x 383 = 104176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104176
Therefore, the GCF of Fractions 757/272,422/766 is 1/104176
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 272,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,766) x common factors =2 x 1 = 2
LCM(272,766) = ( 272 × 766 ) / 2
LCM(272,766) = 208352 / 2
LCM(272,766) = 104176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 757,422?
The HCF of 757,422 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 757/272, 422/766?
Answer: GCF of Numerators as per given numbers 757/272, 422/766 is
GCF of Numerators i.e. for 757,422 is 1
LCM of denominators i.e. for 272,766 is 104176.
Thus, GCF of Fractions is 1/104176.Finally, GCF of Fractions for 757/272, 422/766 is 1/104176.