Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/46,641/1485
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 777,641
Greatest Common Factor of Numerators i.e. GCF of 777,641 is 1 .
LCM of Denominators means LCM of 46,1485 as per the given fractions.
LCM of 46,1485 is 68310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,641
∴ 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 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 777,641 . The biggest common factor number is the GCF number.
So the greatest common factor 777,641 is 1.
Lets's calculate LCM of 46,1485
Given numbers has no common factors except 1. So, there LCM is their product i.e 68310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68310
Therefore, the GCF of Fractions 777/46,641/1485 is 1/68310
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 46,1485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,1485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,1485) x common factors =1 x 1 = 1
LCM(46,1485) = ( 46 × 1485 ) / 1
LCM(46,1485) = 68310 / 1
LCM(46,1485) = 68310
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 777/46, 641/1485?
Answer: GCF of Numerators as per given numbers 777/46, 641/1485 is
GCF of Numerators i.e. for 777,641 is 1
LCM of denominators i.e. for 46,1485 is 68310.
Thus, GCF of Fractions is 1/68310.Finally, GCF of Fractions for 777/46, 641/1485 is 1/68310.