Use our free GCF of Fractions Calculator tool to compute the GCF of 769/307, 275/656 i.e 1/201392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 769/307, 275/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/307,275/656
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 769/307,275/656, numerators are 769,275
Denominators are 307,656
The GCF of 769,275 is 1 .
LCM of 307,656 is 201392.
The greatest common factor of 769/307,275/656 = [GCF of 769,275]/[LCM of 307,656]= 1/201392
Therefore, the GCF of 769/307,275/656 is 1/201392.
To find the highest common factor of 769,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 769 are 1, 769
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 769,275 is 1.
Lets's calculate GCF of 769,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 769
:1,769
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 769,275 . The biggest common factor number is the GCF number.
So the greatest common factor 769,275 is 1.
Lets's calculate LCM of 307,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 201392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201392
Therefore, the GCF of Fractions 769/307,275/656 is 1/201392
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 307,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,656) x common factors =1 x 1 = 1
LCM(307,656) = ( 307 × 656 ) / 1
LCM(307,656) = 201392 / 1
LCM(307,656) = 201392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 769,275?
The HCF of 769,275 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 769/307, 275/656?
Answer: GCF of Numerators as per given numbers 769/307, 275/656 is
GCF of Numerators i.e. for 769,275 is 1
LCM of denominators i.e. for 307,656 is 201392.
Thus, GCF of Fractions is 1/201392.Finally, GCF of Fractions for 769/307, 275/656 is 1/201392.