Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/245,5830/6479
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 777,5830
Greatest Common Factor of Numerators i.e. GCF of 777,5830 is 1 .
LCM of Denominators means LCM of 245,6479 as per the given fractions.
LCM of 245,6479 is 1587355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,5830
∴ 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 5830
List of positive integer factors of 5830 that divides 5830 without a remainder.
1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Greatest Common Factor
We found the factors 777,5830 . The biggest common factor number is the GCF number.
So the greatest common factor 777,5830 is 1.
Lets's calculate LCM of 245,6479
Given numbers has no common factors except 1. So, there LCM is their product i.e 1587355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1587355
Therefore, the GCF of Fractions 777/245,5830/6479 is 1/1587355
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 245,6479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,6479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,6479) x common factors =1 x 1 = 1
LCM(245,6479) = ( 245 × 6479 ) / 1
LCM(245,6479) = 1587355 / 1
LCM(245,6479) = 1587355
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 777/245, 5830/6479?
Answer: GCF of Numerators as per given numbers 777/245, 5830/6479 is
GCF of Numerators i.e. for 777,5830 is 1
LCM of denominators i.e. for 245,6479 is 1587355.
Thus, GCF of Fractions is 1/1587355.Finally, GCF of Fractions for 777/245, 5830/6479 is 1/1587355.