Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/449,131/941,614/650
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 777,131,614
Greatest Common Factor of Numerators i.e. GCF of 777,131,614 is 1 .
LCM of Denominators means LCM of 449,941,650 as per the given fractions.
LCM of 449,941,650 is 274630850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,131,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 777,131,614 . The biggest common factor number is the GCF number.
So the greatest common factor 777,131,614 is 1.
Lets's calculate LCM of 449,941,650
Given numbers has no common factors except 1. So, there LCM is their product i.e 274630850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274630850
Therefore, the GCF of Fractions 777/449,131/941,614/650 is 1/274630850
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 449,941,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,941,650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,941,650) x common factors =1 x 1 = 1
LCM(449,941,650) = ( 449 × 941 × 650 ) / 1
LCM(449,941,650) = 274630850 / 1
LCM(449,941,650) = 274630850
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 777/449, 131/941, 614/650?
Answer: GCF of Numerators as per given numbers 777/449, 131/941, 614/650 is
GCF of Numerators i.e. for 777,131,614 is 1
LCM of denominators i.e. for 449,941,650 is 274630850.
Thus, GCF of Fractions is 1/274630850.Finally, GCF of Fractions for 777/449, 131/941, 614/650 is 1/274630850.