Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6595/929,6488/900
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 6595,6488
Greatest Common Factor of Numerators i.e. GCF of 6595,6488 is 1 .
LCM of Denominators means LCM of 929,900 as per the given fractions.
LCM of 929,900 is 836100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6595,6488
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6595
List of positive integer factors of 6595 that divides 6595 without a remainder.
1,5,1319,6595
Factors of 6488
List of positive integer factors of 6488 that divides 6488 without a remainder.
1,2,4,8,811,1622,3244,6488
Greatest Common Factor
We found the factors 6595,6488 . The biggest common factor number is the GCF number.
So the greatest common factor 6595,6488 is 1.
Lets's calculate LCM of 929,900
Given numbers has no common factors except 1. So, there LCM is their product i.e 836100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/836100
Therefore, the GCF of Fractions 6595/929,6488/900 is 1/836100
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 929,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,900) x common factors =1 x 1 = 1
LCM(929,900) = ( 929 × 900 ) / 1
LCM(929,900) = 836100 / 1
LCM(929,900) = 836100
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 6595/929, 6488/900?
Answer: GCF of Numerators as per given numbers 6595/929, 6488/900 is
GCF of Numerators i.e. for 6595,6488 is 1
LCM of denominators i.e. for 929,900 is 836100.
Thus, GCF of Fractions is 1/836100.Finally, GCF of Fractions for 6595/929, 6488/900 is 1/836100.