Use our free GCF of Fractions Calculator tool to compute the GCF of 777/983, 454/968 i.e 1/951544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/983, 454/968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/983,454/968
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 777/983,454/968, numerators are 777,454
Denominators are 983,968
The GCF of 777,454 is 1 .
LCM of 983,968 is 951544.
The greatest common factor of 777/983,454/968 = [GCF of 777,454]/[LCM of 983,968]= 1/951544
Therefore, the GCF of 777/983,454/968 is 1/951544.
To find the highest common factor of 777,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The factors of 454 are 1, 2, 227, 454
The HCF of 777,454 is 1.
Lets's calculate GCF of 777,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 777,454 . The biggest common factor number is the GCF number.
So the greatest common factor 777,454 is 1.
Lets's calculate LCM of 983,968
Given numbers has no common factors except 1. So, there LCM is their product i.e 951544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951544
Therefore, the GCF of Fractions 777/983,454/968 is 1/951544
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 983,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,968) x common factors =1 x 1 = 1
LCM(983,968) = ( 983 × 968 ) / 1
LCM(983,968) = 951544 / 1
LCM(983,968) = 951544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 777,454?
The HCF of 777,454 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 777/983, 454/968?
Answer: GCF of Numerators as per given numbers 777/983, 454/968 is
GCF of Numerators i.e. for 777,454 is 1
LCM of denominators i.e. for 983,968 is 951544.
Thus, GCF of Fractions is 1/951544.Finally, GCF of Fractions for 777/983, 454/968 is 1/951544.