Use our free GCF of Fractions Calculator tool to compute the GCF of 968/257, 723/200 i.e 1/51400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/257, 723/200.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/257,723/200
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 968/257,723/200, numerators are 968,723
Denominators are 257,200
The GCF of 968,723 is 1 .
LCM of 257,200 is 51400.
The greatest common factor of 968/257,723/200 = [GCF of 968,723]/[LCM of 257,200]= 1/51400
Therefore, the GCF of 968/257,723/200 is 1/51400.
To find the highest common factor of 968,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 723 are 1, 3, 241, 723
The HCF of 968,723 is 1.
Lets's calculate GCF of 968,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 968,723 . The biggest common factor number is the GCF number.
So the greatest common factor 968,723 is 1.
Lets's calculate LCM of 257,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 51400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51400
Therefore, the GCF of Fractions 968/257,723/200 is 1/51400
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 257,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,200) x common factors =1 x 1 = 1
LCM(257,200) = ( 257 × 200 ) / 1
LCM(257,200) = 51400 / 1
LCM(257,200) = 51400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 968,723?
The HCF of 968,723 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 968/257, 723/200?
Answer: GCF of Numerators as per given numbers 968/257, 723/200 is
GCF of Numerators i.e. for 968,723 is 1
LCM of denominators i.e. for 257,200 is 51400.
Thus, GCF of Fractions is 1/51400.Finally, GCF of Fractions for 968/257, 723/200 is 1/51400.