Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6071/737,5873/642
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 6071,5873
Greatest Common Factor of Numerators i.e. GCF of 6071,5873 is 1 .
LCM of Denominators means LCM of 737,642 as per the given fractions.
LCM of 737,642 is 473154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6071,5873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6071
List of positive integer factors of 6071 that divides 6071 without a remainder.
1,13,467,6071
Factors of 5873
List of positive integer factors of 5873 that divides 5873 without a remainder.
1,7,839,5873
Greatest Common Factor
We found the factors 6071,5873 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,5873 is 1.
Lets's calculate LCM of 737,642
Given numbers has no common factors except 1. So, there LCM is their product i.e 473154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473154
Therefore, the GCF of Fractions 6071/737,5873/642 is 1/473154
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 737,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,642) x common factors =1 x 1 = 1
LCM(737,642) = ( 737 × 642 ) / 1
LCM(737,642) = 473154 / 1
LCM(737,642) = 473154
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 6071/737, 5873/642?
Answer: GCF of Numerators as per given numbers 6071/737, 5873/642 is
GCF of Numerators i.e. for 6071,5873 is 1
LCM of denominators i.e. for 737,642 is 473154.
Thus, GCF of Fractions is 1/473154.Finally, GCF of Fractions for 6071/737, 5873/642 is 1/473154.