Use our free GCF of Fractions Calculator tool to compute the GCF of 757/428, 206/656 i.e 1/70192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/428, 206/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 757/428,206/656
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 757/428,206/656, numerators are 757,206
Denominators are 428,656
The GCF of 757,206 is 1 .
LCM of 428,656 is 70192.
The greatest common factor of 757/428,206/656 = [GCF of 757,206]/[LCM of 428,656]= 1/70192
Therefore, the GCF of 757/428,206/656 is 1/70192.
To find the highest common factor of 757,206, 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 206 are 1, 2, 103, 206
The HCF of 757,206 is 1.
Lets's calculate GCF of 757,206
∴ 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 206
:1,2,103,206
Greatest Common Factor
We found the factors 757,206 . The biggest common factor number is the GCF number.
So the greatest common factor 757,206 is 1.
Lets's calculate LCM of 428,656
2 | 428, 656 |
2 | 214, 328 |
107, 164 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 164 = 70192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70192
Therefore, the GCF of Fractions 757/428,206/656 is 1/70192
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 428,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,656) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,656) x common factors =4 x 1 = 4
LCM(428,656) = ( 428 × 656 ) / 4
LCM(428,656) = 280768 / 4
LCM(428,656) = 70192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 757,206?
The HCF of 757,206 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 757/428, 206/656?
Answer: GCF of Numerators as per given numbers 757/428, 206/656 is
GCF of Numerators i.e. for 757,206 is 1
LCM of denominators i.e. for 428,656 is 70192.
Thus, GCF of Fractions is 1/70192.Finally, GCF of Fractions for 757/428, 206/656 is 1/70192.